Browse Word Problem problems Studdy Solved!

Problem 8601

Write an equation in slope-intercept form for the line with slope $\frac{1}{4}$ and $y$ -intercept 3 .

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Problem 8602

21. John wants to get a gym membership. He is deciding between two gyms. Gym A charges a monthly flat rate of $\$ 20$ , plus $\$ 2$ per visit. Gym B charges a monthly flat rate of $\$ 15$ , plus $\$ 3$ per visit. a) Create the two equations -
Gym A: Gym B: b) Find the POI. What does this represent?

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Problem 8603

10. People with type O-negative blood are universal donors. That is, any patient can receive a transfusion of O-negative blood. Only 7.2\% of the American population has O-negative blood. If 10 Americans are randomly selected, what is the probability that at least 1 of them is a universal donor? a) 0 b) 0.474 c) 0.526 d) 0.720 e) 1

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Problem 8604

Ava has six pages left to read in his book. She reads $\frac{1}{2}$ of the pages before dinnertime. Which is another way to show the fraction of the pages Ava reads before dinner?

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Problem 8605

The logistic growth function $\mathrm{P}(\mathrm{x})=\frac{90}{1+271 e^{-0.122 x}}$ models the percentage, $\mathrm{P}(\mathrm{x})$ , of Americans who are x years old and have some coronary heart disease. Use this function to find the age at which the percentage of Americans who have some coronary heart disease is $49 \%$ .
What is the age at which $49 \%$ of Americans have some coronary heart disease? $\square$ years old (Round to the nearest integer.)

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Problem 8606

15. Mrs. Echols chooses a student at random from the Coronado High School student body, and the following events are recorded: $M$ : the student is male $F$ : the student is female B : the student ate breakfast that morning N : the student did not eat breakfast that morning The tree diagram gives probabilities associated with these events.
Find $P(B \mid F)$ and write in words what this expression represents. a) 0.18 . This is the probability the student ate breakfast and is female. b) 0.18 . This is the probability the student ate breakfast, given she is female. c) 0.18 . This is the probability the student is female, given she ate breakfast. d) 0.30 . This is the probability the student ate breakfast, given she is female. e) 0.30 . This is the probability the student is female, given she ate breakfast.

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Problem 8607

A 56.0 cm long wrench is used to remove a lug nut from a car tire. If the torque needed to remove it is 107 Nm and you apply a force at the end of the wrench at an angle of $75.0^{\circ}$ , how much force should you apply? 738 N 198 N 111 N 191 N
Question 3

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Problem 8608

Short Answer
6. a) Determine the slope of the line that passes through the point: $(-2,-3)$ and $(5,4)$ .

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Problem 8609

Explain the differences between equations and expressions.
Choose the correct answer below. A. Expressions can contain fractions and equations cannot. B. Expressions can contain more than one variable and equations cannot. C. Equations contain an ineqaulity symbol and expressions do not. D. Equations contain an equals sign and expressions do not.

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Problem 8610

ng and reasoning. MEDIUM O Write a sinusoidal equation that has the following characteristics: The midline is at y = 5 The length of one period is 60° y= 4 sin ②x-60°).

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Problem 8611

Graph the points $A(2,-3), B(7,-8), C(9,-6)$ , and $D(4,-1)$ . Draw rectangle $A B C D$ and diagonals $\overline{A C}$ and $\overline{B D}$ . a. Find the midpoints of $\overline{A C}$ and $\overline{B D}$ . b. What appears to be true about the diagonals of a rectangle? a. The midpoint of $\overline{\mathrm{AC}}$ is $\left(\frac{11}{2}, \frac{-9}{2}\right)$ . (Type an ordered pair.)
The midpoint of $\overline{B D}$ is $\square$ . (Type an ordered pair.) Clear all

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Problem 8612

7 Some teachers are running for a charity fundraiser. A science teacher runs 9 laps in 18 minutes. A math teacher runs 12 laps in 36 minutes. Which statements are true? (A) The ratio of laps to minutes for the science teacher is $9: 18$ . (B) The science teacher runs faster than the math teacher per lap. (C) The math teacher runs faster than the science teacher per lap. (D) The ratio for laps to minutes for the math teacher is $12: 36$ . (E) Both teachers run at the same rate.

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Problem 8613

Figure 1
Figure 2
In Figure 1, a block of mass $m$ has speed $v$ when it reaches the bottom of a ramp. When the block reaches the top of the ramp, the height of the block has increased by $h$ and the gravitational potential energy of the block-Earth system has changed by an amount $\Delta U_{g 1}$ . In Figure 2 , a block of mass $2 m$ has speed $v / 2$ when it reaches the bottom of the same ramp. When the block reaches the top of the ramp, the height of the block increases by $h$ and the gravitational potential energy of the block-Earth system changes by an amount $\Delta U_{g 2}$ . Which of the following correctly relates $\Delta U_{g 2}$ to $\Delta U_{g 1}$ ?

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Problem 8614

alia and her friends used 1,099 charms to make key chains for the school fair. They used 7 charms for each key chain they made.
What was the total number of key chains Talia and her friends made for the school fair?

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Problem 8615

Which of the following statements is NOT true about gravitational forces? There are no repulsive gravitational forces. A thrown baseball follows orbital motion (neglecting air resistance), but the orbit intersects the Earth. Gravity is the strongest of the fundamental forces Any two particles in the universe exert attractive forces on each other. Submit Answer

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Problem 8616

Let $x$ represent the number of hours that Trenton spends studying algebra, and let $y$ represent the number of hours he spent studying history. For parts (a)-(e), write an inequality to represent the given statement.
Part 1 of 6 (a) Trenton has a total of at most 7 hr to study for both algebra and history combined.
An inequality that represents this statement is $x+y \leq 7$ .
Part: $1 / 6$
Part 2 of 6 (b) Trenton will spend at least 1 hr studying algebra.
An inequality that represents this statement is $\square$

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Problem 8617

Select and graph the function that represents continuous data. Function A: $f(x)=2 x-5$ , where the domain is $\{x \in R\}$ unction B: $h(x)=3 x+4$ , where the domain is $\{-2,-1,0,1,2\}$ nded Response he graph shows soil temperature over 3 days at different depth

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Problem 8618

12. A true-false test has eight questions. How many different permutations of answers can the teacher create if five answers are true and three answers are false?

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Problem 8619

2 Quadrilateral QRST is transformed by the rule $(x, y) \rightarrow(-x, y)$ to create quadrilateral $Q^{\prime} R^{\prime} S^{\prime} T^{\prime}$ . a) How are the corresponding side lengths affected by the transformation?
The Corresponaling b) How are the corresponding angles affected by the transformation? $\qquad$ continue $\qquad$ d) How is the area of the quadrilateral affected? e) How is the perimeter of the quadrilateral affected?

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Problem 8620

A sphere of radius 2 inches is cut by three planes passing through its center. This partitions the solid into 8 equal parts, one of which is shown. The volume of each part is $t \pi$ cubic inches. What is the value of $t$ ?

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Problem 8621

Use cross products to show equality: then $a \times d=b \times c$ .
Write a proportion. 1) 21 is to 7 as 3 is to 1 . 2) 28 is to 32 as 7 is to 8 $\qquad$ 3) 3.2 is to 11 as 16 is to 55

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Problem 8622

An employment information service claims the mean annual salary for senior level product engineers is $\$ 99,000$ . The annual salaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At $\alpha=0.05$ , test the claim that the mean salary is $\$ 99,000$ . Complete parts (a) through (e) below. Assume the population is normally distributed. \begin{tabular}{|rrrr|} \hline \multicolumn{4}{|c|}{ Annual Salaries } \\ \hline & & \\ 100,721 & 96,352 & 93,492 & 112,654 \\ & & & \\ & & & \\ 82,506 & 74,216 & 76,957 & 80,939 \\ 102,543 & 76,238 & 103,925 & 104,037 \\ 91,066 & 82,017 & 85,015 & 110,330 \\ \hline \end{tabular} A. B. c. D. (c) Find the standardized test statistic, t .
The standardized test statistic is $t=$ $\square$ $\square$ . (Round to two decimal places as needed.)

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Problem 8623

2 Quadrilateral QRST is transformed by the rule $(x, y) \rightarrow(-x, y)$ a) How are the corresponding side lengths affected by the transformation?
The Corresponaling b) How are the corresponding angles affected by the transformation? $\qquad$ De c) How is the orientation of the quadrilateral affected? $\qquad$ reversed d) How is the area of the quadrilateral affected? e) How is the perimeter of the quadrilateral affected?

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Problem 8624

Question Given the side length $c=15$ and the angle $A=18^{\circ}$ on the triangle below, find the lengths of $a$ and $b$ and the measure of angle $B$ . Do not round during your calculations, but round your final answers to one decimal place.
Provide your answer below: $a=\square, b=\square=\square .$

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Problem 8625

Work the problem, type the correct answer into the blue box below, and choose the correct unit from the dropdown beside it. (round answer to one decimal place)
How much water will it take to fill a water line for pressure testing if the line has a diameter of 18 inches and is 480 feet long? $\square$ Select the unit

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Problem 8626

Current Attempt in Progress Encore Inc. declared an $\$ 80,000$ cash dividend. It currently has 3,000 shares of $7 \%, \$ 100$ par value cumulative preferred stock outstanding. It is one year in arrears on its preferred stock. How much cash dividends will Encore distribute to the common stockholders? \$38,000 \$42,000 \$59,000 None of these answer choices are correct Save for Later Attempts: 0 of 1 used Submit Answer

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Problem 8627

A cleaning company charges $\$ 120$ for each office it cleans. The fixed monthly cost of $\$ 490$ for the company includes telephone service and the depreciation on cleaning equipment and a van. The variable cost is $\$ 50$ per office and includes labor, gasoline, and cleaning supplies. (a) Write a linear cost function representing the cost $C(x)$ (in $\$$ ) to clean $x$ offices per month. (b) Write a linear revenue function representing the revenue $R(x)$ (in $\$$ ) for cleaning $x$ offices per month. (c) Determine the number of offices to be cleaned per month for the company to break even. (d) If 10 offices are cleaned, will the company make money or lose money?
Part 1 of 4 (a) The linear cost function representing the cost is $C(x)=490+50 x$ .
Part: $1 / 4$
Part 2 of 4 (b) The linear revenue function representing the revenue is $R(x)=\square$ . Skip Part Check Save For Later Submit earch

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Problem 8628

Susie takes out a car loan for $\$ 21,000$ for a term of 3 years at $6 \%$ interest compounded monthly. (a) Find her monthly payment. (b) Find the total amount she pays for the car. (c) Find the total amount of interest she pays.

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Problem 8629

Issuming boys and girls are equally likely, find the probability of a couple having a baby girl when their sixth child is born, given that the first five children were all girls.
The probability is $\square$ (Type an integer or a simplified fraction.) Clear all Check answer

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Problem 8630

The length of the longer leg of a right triangle is 19 cm more than five times the length of the shorter leg. The length of the hypotenuse is 20 cm more than five times the length of the shorter leg. Find the side lengths of the triangle.
Length of the shorter leg: $\square$ cm
Length of the longer leg: $\square$ cm Length of the $\square$ cm hypotenuse: 5

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Problem 8631

the simple statements p: There is a fire in the fireplace. $q$ : The house is cold. ch each compound statement to its symbolic form. There is a fire in the fireplace if and only if the house is not cold. If there is a fire in the fireplace then the house is not cold. There is no fire in the fireplace and the house is cold. a. $\sim p \vee q$ There is a fire in the fireplace or the house is not cold. b. $\sim p \wedge q$ There is no fire in the fireplace or the house is cold. c. $\sim p \leftrightarrow q$
d. $q \rightarrow \sim p$ e. $p \wedge \sim q$
There is no fire in the fireplace if and only if the house is cold. f. $p \leftrightarrow \sim q$
There is a fire in the fireplace and the house is not cold. g. $p \rightarrow \sim q$ If the house is cold then there is no fire in the fireplace. h. $p \vee \sim q$

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Problem 8632

Graph $r=2 \cos \theta$ by filling out the following table and plotting the points. Then connect the points using a smooth curve to get the graph. \begin{tabular}{|l|l|} \hline $\theta$ & \\ \hline 0 & $2 \cos 6=0,(0,0)$ \\ \hline $\frac{\pi}{6}$ & 2006 \\ \hline $\frac{\pi}{4}$ & \\ \hline $\frac{\pi}{3}$ & \\ \hline $\frac{\pi}{2}$ & \\ \hline $\frac{2 \pi}{3}$ & \\ \hline $\frac{3 \pi}{4}$ & \\ \hline $\frac{5 \pi}{6}$ & \\ \hline $\pi$ \\ \hline \end{tabular}

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Problem 8633

Select the correct choice that completes the sentence below. The vertical line through the vertex of a parabola that opens upward or downward is the $\square$ of the parabola. The two halves of the parabola are $\square$ images of each other across this line. Clear all Final chest

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Problem 8634

2. Estimate the affordable monthly mortgage payment, the affordable mortgage amount, and the affordable home purchase price for the following situation (Figure 9.1.4 Mortgage Affordability Calculation).
Monthly gross income, \$4,167 Down payment to be made-15 percent of purchase price
Other debt (monthly payment), \$500 Monthly Property Taxes and Home Insurance, \$200 30-year loan at 8 percent a. Affordable monthly mortgage payment b. Affordable mortgage amount c. Affordable home purchase

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Problem 8635

At least $68 \%$ of phone numbers in a certain city are unlisted. Express the null and alternative hypotheses in symbolic form for this claim (enter as a percentage). $H_{0}: p$ $\square$ $H_{1}: p$ $\square$ Use the following codes to enter the following symbols: $\begin{array}{l} \geq \text { enter >= } \\ \vdots \text { enter <= } \\ \text { ‡ enter != } \end{array}$

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Problem 8636

Solve Problems with Percent - Instruction - Level F
Jada works a 5-hour shift, or 300 minutes, at a retail store. She gets a 15-minute break during her work shift. Jada wants to know what percent of her work shift the break is.
What fraction of Jada's work shift is her break? $\square$ ?

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Problem 8637

2 The coordinate grid shows triangle $P Q R$ . 8.10ABD. 3
Triangle $P Q R$ is rotated $270^{\circ}$ clockwise about the origin to create triangle $P^{\prime} Q^{\prime} R^{\prime}$ . Choose the correct answer from each drop-down menu to complete the statements.
The side lengths of triangle $P^{\prime} Q^{\prime} R^{\prime}$ are $\square$ to the corresponding side lengths of triangle $P Q R$ . $\checkmark$ equal not equal
The angle measures of triangle $P^{\prime} Q^{\prime} R^{\prime}$ are $\square$ to the corresponding angle measures of triangle $P Q R$ . congruent not congruent 03034 N 至

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Problem 8638

The Second Gate As you move through the first gate, you can see another gate not far in front of you. You approach the second gate and your computer reads: "There are 2 values for which the below function does not exist. The passcode is the limit of $g(x)$ as $x$ approaches the smaller of these two values." $g(x)=\frac{x+5}{x^{2}-25}$
Your computer also reminds you to type "infinity" for $\infty$ , "-infinity" for $-\infty$ , and "NA" if the limit does. not exist. What do you enter for your computer to translate? $a^{b}$ $\sin (a)$ $\infty$ $\alpha$ 而 $\square$
Explain, in your own words and with your own work, how you arrived at this result. Be sure to explain using calculus concepts to best support the work of the game design team. $\square$ $\square$ 4 15 D Equation Editor Editor $\underline{A} \cdot \boldsymbol{A} \cdot \underline{I}_{x}$ B $I \underline{u} \quad \mathcal{S} x_{2} x^{2}$

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Problem 8639

bicyclist traveling at $12 \mathrm{ft} / \mathrm{sec}$ uts on the brakes to slow down at constant rate, coming to a stop n 7 seconds. The figure shows the relocity of the bike during braking. velocity ( $\mathrm{ft} / \mathrm{sec}$ ) a) What are the values of $a$ and $b$ in the figure? $\begin{array}{l} a=\square \\ b=\square \end{array}$ b) How far does the bike travel while braking?
The distance traveled while braking is $\square$ feet. Textbook and Media

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Problem 8640

Current Attempt in Progress The velocity of a car is $f(t)=4 t$ meters $/ \mathrm{sec}$ . Use a graph of $f(t)$ to find the exact distance traveled by the car, in meters, from $t=0$ to $t=6$ seconds.
The distance traveled by the car is $\square$ meters. eTextbook and Media

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Problem 8641

is the probability of getting the correct Social Security number of the person who was given the receipt?
The probability is $\square$ (Type an integer or a simplified fraction.) my instructor Clear all Check answer

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Problem 8642

Sinusoidal waves 5.00 cm in amplitude are to be transmitted along a string that has a linear mass density of $4.00 \times 10^{-2} \mathrm{~kg} / \mathrm{m}$ . The source can dellver a maximum power of 280 W , and the string is under a tension of 90 N . What is the highest frequency $f$ at which the source can operate?
Part 1 of 5 - Conceptualize Increasing the source frequency increases the power carried by the wave. A power of 280 W will possibly occur at a frequency on the order of 100 Hz .
Part 2 of 5 - Categorize We will use the expression for power carried by a wave on a string.
Part 3 of 5 - Analyze The wave speed is given by $\begin{array}{l} v=\sqrt{\frac{T}{\mu}} \\ \sqrt{\frac{\square \mathrm{~N}}{\square \mathrm{~m} / \mathrm{s}}} \\ =\square 0^{-2} \mathrm{~kg} / \mathrm{m} \end{array}$

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Problem 8643

decreasing when the diameter is 70 cm . (Note the answer is a positive number) 重

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Problem 8644

Amy drove 737 miles in 11 hours. At the same rate, how long would it take her to drive 871 miles?

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Problem 8645

10 Quadrilateral $A B C D$ is reflected over the $x$ -axis to create quadritateral $A^{\prime} B^{\prime} C^{\prime} D^{\prime}$ . Which statement is true? 8.10ABD. 2
F The area of quadrilateral $A^{\prime} B^{\prime} C^{\prime} D^{\prime}$ is greater than the area of quadrilateral $A B C D$ .
G Quadrilateral $A^{\prime} B^{\prime} C^{\prime} D^{\prime}$ is not congruent to quadrilateral $A B C D$ . H The perimeter of quadrimateral $A^{\prime} B^{\prime \prime} C^{\prime} D^{\prime}$ is greater than the perimeter of quadritateral ABCD.
3 The corresponding side lengths of quadrilateral $A^{\prime} B^{\prime} C^{\prime} D^{\prime}$ are equal to the corresponding side lengths of quadrilateral $A B C D$ .

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Problem 8646

Lquatuons ana inequalities
Union and intersection of finite sets
The sets $H$ and $I$ are given below. $\begin{array}{l} H=\{0,1,2,6,7,8\} \\ I=\{0,2,6,8\} \end{array}$
Find the intersection of $H$ and $I$ . Find the union of $H$ and $I$ . Write your answers using set notation (in roster form). $\begin{array}{l} H \cap I=\square \\ H \cup I=\square \end{array}$

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Problem 8647

OSHA safety regulations require that the base of a ladder be placed 1 ft from the wall for every 4 ft of ladder length. To the nearest tenth of a degree, find the angle that the ladder forms with the ground and the angle that it forms with the wall.

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Problem 8648

Find a formula for the exponential function shown in the graph. Use the variables $x$ and $f(x)$ or $x$ and $y$ .
If necessary, round any parameters of the function to four decimal places: Formula: $\square$

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Problem 8649

Carmen is on the swim team. Each week she swims a total of 4000 meters. How many kilometers does she swim each week? Be sure to include the correct unit in your answer.

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Problem 8650

Kira cut 2 feet of tape. How much is this in inches? Use the table below. Include the correct unit in your answer. \begin{tabular}{|l|l|c|} \hline Unit & Symbol & Fact \\ \hline inch & in & \\ \hline Length & foot & ft \\ yard & yd & $1 \mathrm{ft}=12 \mathrm{in}$ \\ & & $1 \mathrm{yd}=3 \mathrm{ft}$ \\ \hline \end{tabular}

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Problem 8651

3 fentagan JKLMN was transtated 8 unlits to the left and 7 units up to creatre pentagon Jok M'N: Which rule describes this transformation? A The perimeter of pentagon JKL'M"N" is grater than the perimeter of pentagon JKLMN. (3) The area of pentagon J'K' 'MN' is less than the area of pentagon JKLMN.
C The angle measures of pentagon J'K'L M'N' are not congruent to the corresponding angle measures of pentagon JKLMN.
D The orientation of the vertices of pentagon $J^{\prime} K L^{\prime} M^{\prime} N^{\prime}$ Is the same as the orientation of the vertices of pentagon JKLMN.

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Problem 8652

friends actually eat aifogether? Use words andior numbers to show your work.
1. Which of the following equations has a quotient with no remainder? Select three that apply. Pick up to 4 answers. A $3,958 \div 45$ B. $5,777 \div 53$ c. $10,044 \div 36$ D. $77,130 \div 90$ Thanksgiving review

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Problem 8653

explain your answer. $\begin{array}{l} \frac{e^{3}}{3}=101+1+50 \\ 1-\frac{n}{n}+\frac{5}{12} 2 \frac{17}{12} \end{array}$ $\qquad$ is grater thas
10. A. Julia, Roberto, and Vang are friends who decide to eat lunch at a pizza restaurant. Julia estimates that she will eat $\frac{3}{3}$ of a pizza. Roberto estimates that he will eat $\frac{1}{4}$ of a pizza. Vang estimates that he will eat $\frac{3}{3}$ of a pizza. If they order together, how much pizza will they eat in all? Use words and/or numbers to show your work. B. Julia thinks they should order 1 whole pizza. Roberto thinks they should order 2 whole pizzas. Vang thinks they should order 3 whole pizzas. If they want to order the fewest number of pizzas that will provide enough food for their estimates, who is correct and why? C. Roberto and Vang ate the amount of pizza they estimated. Julia took the amount of pizza she estimated, but left $\frac{1}{s}$ of a pizza, uneaten, on her plate. How much pizza did friends actually eat altogether? Use words and/or numbers to show your work.

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Problem 8654

Dr. Torres just started an experiment. He will collect data for 5 days. How many hours is this?

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Problem 8655

When randomly selecting an adult, $A$ denotes the event of selecting someone with blue eyes. What do $P(A)$ and $P(\bar{A})$ represent? $P(A)$ represents the $\square$ $P(\bar{A})$ represents the

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Problem 8656

Suppose that for a company manufacturing calculators, the cost, and revenue equations are given by $C=80000+40 x, \quad R=400-\frac{x^{2}}{20}$ where the production output in one week is $\boldsymbol{x}$ calculators. If the production rate is increasing at a rate of 500 calculators when the production output is 6000 calculators, find each of the following:
Rate of change in cost $=$ $\square$
Rate of change in revenue $=$ $\square$
Rate of change in profit $=$ $\square$

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Problem 8657

A cyclist rides his bike at a speed of 18 miles per hour. What is this speed in feet per second? How many feet will the cyclist travel in 5 seconds? In your computations, use the fact that 1 mile is equal to 5280 feet. Do not round your answers.

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Problem 8658

The points $(-3,-4)$ and $(-5,-9)$ are a maximum and minimum, respectively, of a periodic function $f(x)$ , which has period 9 . What is the amplitude of the function? The amplitude is $\square$ 2.5 $\square$ What is an equation for the midline? The midline is $y=$ $\square$ $-6.5$
Which of the following points must lie on the graph of the function $y=f(x)$ ? Select all that are correct. $(31,-12)$ $(-50,-9)$ $(22,-4)$ $(31,-9)$ $(24,-4)$ $(-48,-1)$ None of the above

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Problem 8659

12 point(s) possible This question: 1 point(s) possible Submit quiz
A thief steals an ATM card and must randomly guess the correct seven-digit pin code from a 4-key keypad. Repetition of digits is allowed. What is the probability of a correct guess on the first try?
The number of possible codes is $\square$ (Type an integer or fraction. Simplify your answer.) The probability that the correct code is given on the first try is $\square$ (Type an integer or fraction. Simplify your answer.)

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Problem 8660

From a random sample of 51 adults who earned an associate's degree from a community college (but no education beyond), the mean lifetime earnings was $\$ 1.6$ million. The sample standard deviation was $\$ 0.5$ million. Construct a $95 \%$ confidence interval for the mean lifetime income of adults who earned an associate's degree and no formal education beyond.
A What type of inference problem is this? (iii) Confidence interval for a population mean (ii) Confidence interval for the population mean of paired differences (iii) Confidence interval for a population proportion (iv) Confidence interval for the difference in two population proportions
B Are the criteria for approximate normality met? Explain. Random sample C Compute the margin of error. Round to three decimal places. $140,627$
D Compute the lower limit and upper limit of the $95 \%$ confidence interval. Round to three decimal places. $\text { Lower Limit }=1,459,373 \quad \text { Upper Limit }=1,740,627$
E Interpret the confidence interval in the context of this situation.

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Problem 8661

Question 10
Find the present value of a continuous income stream $F(t)=30+8 t$ , where $t$ is in years and $F$ is in thousands of dollars per year, for 5 years, if money can earn $2.1 \%$ annual interest, compounded continuously.
Present value $=$ $\square$ thousand dollars.

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Problem 8662

Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The amount of snowfall in December in City A b. The number of fish caught during a fishing tournament c. The eye color of people on commercial aircraft flights d. The number of statistics students now reading a book e. The number of bald eagles in a country f. The amount of rain in City B during April a. Is the amount of snowfall in December in City A a discrete random variable, a continuous random variable, or not a random variable? A. It is a continuous random variable. B. It is a discrete random variable. C. It is not a random variable. b. Is the number of fish caught during a fishing tournament a discrete random variable, a continuous random variable, or not a random variable? A. It is a discrete random variable. B. It is a continuous random variable. C. It is not a random variable c. Is the eye color of people on commercial aircraft flights a discrete random variable, a continuous random variable, or not a random variable? A. It is a continuous random variable. B. It is a discrete random variable. C. It is not a randirm variable. d. Is the number of statistics students now reading a book a discrete random variable, a continuous random variable, or not a random variable? A. It is a continuous random variable. B. It is a discrete random variable. C. It is not a random variable.

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Problem 8663

Three non-collinear points $\left(x_{1}, y_{1}\right),\left(x_{2}, y_{2}\right)$ , and $\left(x_{3}, y_{3}\right)$ determine a circle because: - A. They are equidistant from the circle's center. - B. They form the radius of a circle. - C. They lie on the perpendicular bisectors of the triangle formed. - D. They define a parabola.

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Problem 8664

Question 9, 5.1.6 Part 1 of 6 HW Score: 50\%, O Points: 0 of 1
Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The number of pigeons in a country b. The hair color of adults in the United States c. The time it takes for a light bulb to burn out d. The number of statistics students now doing their homework e. The square footage of a pool f. The number of light bulbs that burn out in the next year in a room with 16 bulbs a. Is the number of pigeons in a country a discrete random variable, continuous random variable, or not a random variable? A. It is a discrete random variable. B. It is a continuous random variable. C. It is not a random variable.

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Problem 8665

Edgar accumulated $\$ 6,000$ in credit card debt. If the interest rate is $30 \%$ per year, and he does not make any payments for 3 years, how much will he owe (in dollars) on this debt in 3 years by each method of compounding? (Simplify your answers completely. Round your answers to the nearest cent.) (a) compound quarterly \\square $(b) compound monthly \$$ \square $(c) compound continuously \$$ \square$

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Problem 8666

The latus rectum of an ellipse is a line segment perpendicular to the major axis and passes through one of the foci. True False

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Problem 8667

2. Jonathan's checking account balance is $-\$ 45$ . After receiving his allowance, he deposits $\$ 7$ into the account. What is the balance of the account after Jonathan's deposit? I KNOW: I NEED TO KNOW:
PIAN AND WORK: SOIUTION:

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Problem 8668

Question If Will takes out a 13,000 loan at $4.3 \%$ interest compounded semiannually and pays it off in one payment after 6 years, how much is the payment? Round you answer to the nearest cent.

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Problem 8669

Points: 0 of 1 Save
In a state's Pick 3 lottery game, you pay $\$ 1.16$ to select a sequence of three digits (from 0 to 9 ), such as 244 . If you select the same sequence of three digits that are drawn, you win and collect $\$ 348.27$ . Complete parts (a) through (e). a. How many different selections are possible? $\square$

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Problem 8670

Translate the following phrase into an algebraic expression: six times seven $y$ less than ten.

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Problem 8671

Growth of a Fruit Fly Population On the basis of data collected during an experiment, a biologist found that the growth of a fruit fly population (Drosophila) with a limited food supply could be approximated by $N(t)=\frac{600}{1+24 e^{-0.23 t}}$ where $t$ denotes the number of days since the beginning of the experiment. (a) What was the initial fruit fly population in the experiment? $\square$ flies (b) What was the population of the fruit fly colony on the $t=17$ day? (Round your answer to the nearest integer.)" $\square$ flies

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Problem 8672

1 Fill in the Blank 5 points
Jenna intends on baking an apple pie and a sweet potato pie for Thanksgiving. She spends $\$ 10$ purchasing apples and sweet potatoes. Suppose apples cost \ $1.25 each, and sweet potatoes cost$ \ $1$ each. Let $a$ represent the number of apples she purchases, and $s$ represent the number of sweet potatoes she purchases. a) Write an equation in standard form that describes the possible number of apples $a$ and number of sweet potatoes $s$ Jenna purchases with \ $10. type your answer...$ a+ $type your answer...$ s= $type your answer... b) Write an equation in slope-intercept form that describes the possible number of apples$ a $and number of sweet potatoes$ s $Jenna purchases with \$10.$ s=\square $type your answer...$ a+ $type your answer...$ \square $c) If Jenna spends \$10 and purchases only 4 apples, how many sweet potatoes did she purchase?$ s= $type your answer... d) Use the combination of apples and sweet potatoes from part (c) to write an equation in point-slope form that describes the possible number of apples$ a $and number of sweet potatoes$ s $Jenna purchases with \$10.$ s- $type your answer... = type your answer...$ \square $(a- type your answer... e) True or False: The graph below represents the relation between the possible number of apples$ a $and number of sweet potatoes$ s$ Jenna purchases with \$10.

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Problem 8673

17. You are ordering T-shirts for the Spanish Club. The table shows the orders for 45 students in the club. \begin{tabular}{|c|c|c|} \hline cmad & Medium & Large \\ \hline 11 & $x$ & $y$ \\ \hline \end{tabular} a. How many students ordered medium and large shirts? b. The number of students who ordered a medium T-shirt was two less than the number of students who ordered a large T-shirt. Write a system of linear equations that represents the number of students who ordered medium and large T-shirts. c. Solve the system of linear equations. d. Taume ordering 10 additional medium and large T-shirts for new members whigighe ghe club. Based on your answers in part (c), how many of entinte would you or̃đer? Explain.

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Problem 8674

The 20.0 W electric motor of a toy car is ranked as $91.0 \%$ efficient. If the motor is to accelerate the 740 g car from rest along a horizontal surface, then determine the maximum speed that the car can attain in 3.80 seconds.

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Problem 8675

9. Explain why rewriting $\sqrt{50}$ as $\sqrt{25} \cdot \sqrt{2}$ helps you simplify $\sqrt{50}$ , but rewriting $\sqrt{50}$ as $\sqrt{10} \cdot \sqrt{5}$ does not.

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Problem 8676

An artifact originally had 16 grams of carbon-14 present. The decay model $A=16 e^{-0.000121 t}$ describes the amount of carbon-14 present after $t$ years. Use the model to determine how many grams of carbon-14 will be present in 8969 years.
The amount of carbon-14 present in 8969 years will be approximately $\square$ grams. (Round to the nearest whole number.)

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Problem 8677

Find an equation for the line that passes through the points $(-1,2)$ and $(-5,4)$ . $\square$ II

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Problem 8678

4.) Mary writes each letter of the state TEXAS on a separate card. She randomly picks 5 cards and places them on the table in the order she picks them. What is the probability she gets them in the right order to spell Texas correctly?

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Problem 8679

A trapezoid has base lengths of 4 feet and 19 feet, and an area of 115 square feet. What is the height of the trapezoid?

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Problem 8680

107 Assignment 11: Problem 6 (1 point)
Suppose that for a company manufacturing calculators, the cost, and revenue equations are given by $C=70000+40 x, \quad R=400-\frac{x^{2}}{20}$ where the production output in one week is $x$ calculators. If the production rate is increasing at a rate of 500 calculators when the production output is 6000 calculators, find each of the following:
Rate of change in cost $=$ 20000 $\square$ Rate of change in revenue $=-20000$ $\square$ Rate of change in profit $=-24000$ $\square$

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Problem 8681

107 Assignment 11: Problem 6 (1 point)
Suppose that for a company manufacturing calculators, the cost, and revenue equations are given by $C=70000+40 x, \quad R=400-\frac{x^{2}}{20}$ where the production output in one week is $x$ calculators. If the production rate is increasing at a rate of 500 calculators when the production output is 6000 calculators, find each of the following:
Rate of change in cost $=$ 20000 $\square$ Rate of change in revenue $=-20000$ $\square$ Rate of change in profit $=-24000$ $\square$

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Problem 8682

Multiple Choice 1 point
4. Coach Brinkman is trying to solve the equation $|x+2|-3=-|x-3|+8$ by graphing. He graphed the right side of the equation and then decided his students needed to do the rest.
Graph the left side of the equation and then state the solution set. $x=-6$ and $x=5$ $x=-1$ and $x=3$ No Solution $x=-5$ and $x=6$

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Problem 8683

A starship is orbiting Cantoria, a large moon of the planet Sylow II. The ship's sensor array detects that the temperature on the surface of the moon is $11.6^{\circ} \mathrm{C}$ . What is this temperature in degrees Fahrenheit ( ${ }^{\circ} \mathrm{F}$ )?
Use the given formulas as necessary, and round your answer to the nearest tenth of a degree. ${ }^{\circ} \mathrm{F}$

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Problem 8684

$x=-5 \text { and } x=6$
5 Multiple Choice 1 point
Solve the following absolute value equation.
5. $|3 x+4|=2 x-1$ $x=-3 / 5$ $x=-5$ No solution $x=-5$ and $x=-3 / 5$ 6 Multiple Choice 1 point

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Problem 8685

5002 Time Demaining
5 Formula 0.5 points
An bag contains 10 red balls, 11 white balls, 3 green balls, and 3 blue balls. A ball is selected at random and replaced. Then another ball is selected. Find the probability that the firat ball is red and the second ball is white.
State your answer as a decimal rounded to the nearest hundredth. lype your anwer- 360

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Problem 8686

47. To estimate the width of an archaeological mound, archaeologists place two stakes on opposite ends of the widest point. See Eigure 8.51 . They set a third stake 82 feet from one stake and 97 feet from the other stake. The angle formed is $125^{\circ}$ . Find the width of the mound.
Figure 8.51

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Problem 8687

8987.19 8987.19 incorrect
The answer above is NOT correct.
A retail store estimates that weekly sales $s$ and weekly advertising costs $x$ (both in dollars) are related by $s=50000-440000 e^{-0.0003 x}$
The current weekly advertising costs are 2000 dollars and these costs are increasing at the rate of 300 dollars per week. Find the current rate of change of sales.
Rate of change of sales $=$ $\square$ 8987.1

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Problem 8688

1. Brandon was asked to solve a system of equations algebraically. His partial solution is shown below. Identify and correct any errors, then complete the calculations to determine the solutions to the system of equations. (2 marks)
Brandon's Partial Solution Using Elimination
System: $\begin{array}{l} y=-x^{2}-6 x+3 \\ y=-x+3 \end{array}$
Step 1: $\begin{aligned} y & =-x^{2}-6 x+3 \\ -(y & =-x+3) \end{aligned}$
Step 2: $0=-x^{2}-7 x+6$

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Problem 8689

From a random sample of 80 women, 48 say they have been sexually harassed. From another random sample of 65 men, 13 say they have been sexually harassed. Construct a $99 \%$ confidence interval for the difference between the proportions of women and men who say they have been sexually harassed.

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Problem 8690

1 ■ Mark for Review
A hawk with mass 1 kg dives straight downward. At time $t_{1}$ , the hawk has a speed of $20 \mathrm{~m} / \mathrm{s}$ . At time $t_{2}$ , the hawk has a speed of $50 \mathrm{~m} / \mathrm{s}$ . The change in the kinetic energy of the hawk between $t_{1}$ and $t_{2}$ is most nearly (A) 200 J (B) 450 J (C) 1050 J (D) 1250 J

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Problem 8691

Hide 4 ■ Mark for Review
A ball of mass $m$ is loaded into a launcher with a spring of spring constant $k$ . The ball is pushed down until it is at a vertical position $y=0$ , and the spring is compressed a distance $\Delta L$ , as shown. The ball is then released from rest. Immediately after leaving the launcher, the $x$ - and $y$ -components of the ball's velocity are $v_{x}$ and $v_{y}$ , respectively. The ball reaches a maximum height of $y_{\text {max }}$ and lands a horizontal distance $\Delta x$ away from its initial position. Energy losses due to friction are negligible. Which of the following is a correct conservation of energy equation that compares the total mechanical energy of the ball-spring-Earth system immediately before the ball is launched to the total mechanical energy of the ball-spring-Earth system the moment the ball reaches its maximum height?

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Problem 8692

Hide
6 Mark for Review $40^{\circ}$
Cars $\mathrm{A}, \mathrm{B}$ , and C have the same mass. Car A is moving with speed $v$ in the $-x$ -direction, Car B is at rest, and Car C is moving with speed $v$ in the $+x$ -direction. Which of the following correctly ranks the kinetic energy $K$ of the three cars? (A) $K_{\mathrm{C}}>K_{\mathrm{A}}>K_{\mathrm{B}}$ (B) $K_{\mathrm{C}}>K_{\mathrm{B}}>K_{\mathrm{A}}$ (C) $K_{\mathrm{B}}>\left(K_{\mathrm{A}}=K_{\mathrm{C}}\right)$ (D) $\left(K_{\mathrm{A}}=K_{\mathrm{C}}\right)>K_{\mathrm{B}}$

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Problem 8693

(b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of $1 \mathrm{~m} / \mathrm{s}$ , how fast is the area of the spill increasing when the radius is 30 m ? $\square$ $\mathrm{m}^{2} / \mathrm{s}$
Viowing Saved Work Revert to Last Response

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Problem 8694

$\text{Note: Figure not drawn to scale.}$
A fan is attached to the top of a block, as shown. The block is released from rest at the top of a ramp and the fan exerts a constant force on the block opposite the block's direction of motion. The block slides a distance $D_{1}$ along the ramp and then transitions to a horizontal surface, eventually coming to rest momentarily after traveling a distance $D_{2}$ . Frictional forces are negligible. Which of the following correctly describes the relationship between $D_{2}$ and $D_{1}$ ?
(A) $D_{2}$ must be less than $D_{1}$ .

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Problem 8695

nodule 11 HW : Problem 4 point)
Write an integral in the form $A=\int_{a}^{b} g(x) d x$ such that $A$ expresses the area of the region between the functions $y=\frac{1}{5 x}, y=\frac{1}{x^{2}}$ and $x=11$ . Evaluate the integral to find the area of the region. Alfiswers should be exact. As a suggestion, graph the equations so you can see the region for which you are solving for the area. $a($ lower limit of integration $)=$ $\square$ $b$ (upper limit of integration) $=$ $\square$ $g(x)=$ $\square$ Area of region $A=$ $\square$
Note: You can earn partial credit on this problem.

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Problem 8696

Learn!
Sometimes you will need to find the part. This is the same as finding the percent of a number. To do this, write the percent as a fraction or a decimal and multiply by the whole. Try itl $15 \%$ of 60 is what number? The percent is 0.15 or $\frac{3}{20}$ , and the whole is 60 . $0.15 \times 60=9$
So, $15 \%$ of 60 is 9.
Find each part. $\begin{array}{l} 50 \% \text { of } 70=35 \\ .50 \times 70= \end{array}$ $\qquad$ $20 \%$ of $25=$ $\qquad$ 5. $\qquad$ $.20 \times 25$ $5 \%$ of $20=$ $\qquad$ 1. $95 \times 21$ $\qquad$ $44 \%$ of $100=$ $\qquad$ $-30 \times 40$ $.44+100$ $76 \%$ of $50=$ $\qquad$ $.16 \times 50$

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Problem 8697

4. The hallway is 4 feet wide and $191 / 2$ feet long. The hallway is how many square feet?

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Problem 8698

$\begin{aligned} &\text{Given the cost function } C(x) = 60,000 + 60x, \\ &\text{and the price function } p = 200 - \frac{x}{50}, \quad 0 \leq x \leq 10,000, \\ &\text{solve the following:} \\ &\text{(A) Find the maximum revenue.} \\ &\text{(B) Find the maximum profit, the production level that will realize the maximum profit,} \\ &\text{and the price the company should charge for each television set.} \\ &\text{(C) If the government decides to tax the company \$5 for each set it produces,} \\ &\text{how many sets should the company manufacture each month to maximize its profit?} \\ &\text{What is the maximum profit? What should the company charge for each set?} \end{aligned}$

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Problem 8699

6.) Evaluate the following expression: $-a+12 b+4 c$ if $a=-3-3 \quad b=1 / 4$ and $c=-$ A. 10 $\begin{aligned} - & +(12 \times 1 / 4)+(4 x-4)= \\ & 12 \times \frac{1}{4}=12 / 4 \\ 4 x-4 & =-16 \end{aligned}$ B. -10 $4 x-4=-16$ C. -16 D. 16

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Problem 8700

When plotting the resultant from three or more vectors, it is most convenient to use the $\qquad$ method. (A) parallelogram (B) head-to-tail (C) histogram (D) bar chart

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Word Problem

Problem 8601

Write an equation in slope-intercept form for the line with slope 14\frac{1}{4}41​ and yyy-intercept 3 .

Problem 8602

Problem 8603

Problem 8604

Ava has six pages left to read in his book. She reads 12\frac{1}{2}21​ of the pages before dinnertime. Which is another way to show the fraction of the pages Ava reads before dinner?

Problem 8605

Problem 8606

Problem 8607

A 56.0 cm long wrench is used to remove a lug nut from a car tire. If the torque needed to remove it is 107 Nm and you apply a force at the end of the wrench at an angle of 75.0∘75.0^{\circ}75.0∘, how much force should you apply? 738 N 198 N 111 N 191 NQuestion 3

Problem 8608

Short Answer6. a) Determine the slope of the line that passes through the point: (−2,−3)(-2,-3)(−2,−3) and (5,4)(5,4)(5,4).

Problem 8609

Problem 8610

ng and reasoning. MEDIUM O Write a sinusoidal equation that has the following characteristics: The midline is at y = 5 The length of one period is 60° y= 4 sin ②x-60°).

Problem 8611

Problem 8612

Problem 8613

Problem 8614

alia and her friends used 1,099 charms to make key chains for the school fair. They used 7 charms for each key chain they made.What was the total number of key chains Talia and her friends made for the school fair?

Problem 8615

Problem 8616

Problem 8617

Problem 8618

12. A true-false test has eight questions. How many different permutations of answers can the teacher create if five answers are true and three answers are false?

Problem 8619

Problem 8620

A sphere of radius 2 inches is cut by three planes passing through its center. This partitions the solid into 8 equal parts, one of which is shown. The volume of each part is tπt \pitπ cubic inches. What is the value of ttt ?

Problem 8621

Use cross products to show equality: then a×d=b×ca \times d=b \times ca×d=b×c.Write a proportion. 1) 21 is to 7 as 3 is to 1 . 2) 28 is to 32 as 7 is to 8 \qquad 3) 3.2 is to 11 as 16 is to 55

Problem 8622

Problem 8623

Problem 8624

Problem 8625

Problem 8626

Problem 8627

Problem 8628

Susie takes out a car loan for $21,000\$ 21,000$21,000 for a term of 3 years at 6%6 \%6% interest compounded monthly. (a) Find her monthly payment. (b) Find the total amount she pays for the car. (c) Find the total amount of interest she pays.

Problem 8629

Issuming boys and girls are equally likely, find the probability of a couple having a baby girl when their sixth child is born, given that the first five children were all girls.The probability is □\square□ (Type an integer or a simplified fraction.) Clear all Check answer

Problem 8630

Problem 8631

Problem 8632

Problem 8633

Select the correct choice that completes the sentence below. The vertical line through the vertex of a parabola that opens upward or downward is the □\square□ of the parabola. The two halves of the parabola are □\square□ images of each other across this line. Clear all Final chest

Problem 8634

Problem 8635

Problem 8636

Solve Problems with Percent - Instruction - Level FJada works a 5-hour shift, or 300 minutes, at a retail store. She gets a 15-minute break during her work shift. Jada wants to know what percent of her work shift the break is.What fraction of Jada's work shift is her break? □\square□ ?

Problem 8637

Problem 8638

Problem 8639

Problem 8640

Problem 8641

is the probability of getting the correct Social Security number of the person who was given the receipt?The probability is □\square□ (Type an integer or a simplified fraction.) my instructor Clear all Check answer

Problem 8642

Problem 8643

decreasing when the diameter is 70 cm . (Note the answer is a positive number) 重

Problem 8644

Amy drove 737 miles in 11 hours. At the same rate, how long would it take her to drive 871 miles?

Problem 8645

Problem 8646

Problem 8647

OSHA safety regulations require that the base of a ladder be placed 1 ft from the wall for every 4 ft of ladder length. To the nearest tenth of a degree, find the angle that the ladder forms with the ground and the angle that it forms with the wall.

Problem 8648

Find a formula for the exponential function shown in the graph. Use the variables xxx and f(x)f(x)f(x) or xxx and yyy.If necessary, round any parameters of the function to four decimal places: Formula: □\square□

Problem 8649

Carmen is on the swim team. Each week she swims a total of 4000 meters. How many kilometers does she swim each week? Be sure to include the correct unit in your answer.

Problem 8650

Problem 8651

Problem 8652

Problem 8653

Problem 8654

Dr. Torres just started an experiment. He will collect data for 5 days. How many hours is this?

Problem 8655

When randomly selecting an adult, AAA denotes the event of selecting someone with blue eyes. What do P(A)P(A)P(A) and P(Aˉ)P(\bar{A})P(Aˉ) represent? P(A)P(A)P(A) represents the □\square□ P(Aˉ)P(\bar{A})P(Aˉ) represents the

Problem 8656

Problem 8657

A cyclist rides his bike at a speed of 18 miles per hour. What is this speed in feet per second? How many feet will the cyclist travel in 5 seconds? In your computations, use the fact that 1 mile is equal to 5280 feet. Do not round your answers.

Write an equation in slope-intercept form for the line with slope $\frac{1}{4}$ and $y$ -intercept 3 .

Ava has six pages left to read in his book. She reads $\frac{1}{2}$ of the pages before dinnertime. Which is another way to show the fraction of the pages Ava reads before dinner?

A 56.0 cm long wrench is used to remove a lug nut from a car tire. If the torque needed to remove it is 107 Nm and you apply a force at the end of the wrench at an angle of $75.0^{\circ}$ , how much force should you apply? 738 N 198 N 111 N 191 N
Question 3

Short Answer
6. a) Determine the slope of the line that passes through the point: $(-2,-3)$ and $(5,4)$ .

alia and her friends used 1,099 charms to make key chains for the school fair. They used 7 charms for each key chain they made.
What was the total number of key chains Talia and her friends made for the school fair?

A sphere of radius 2 inches is cut by three planes passing through its center. This partitions the solid into 8 equal parts, one of which is shown. The volume of each part is $t \pi$ cubic inches. What is the value of $t$ ?

Use cross products to show equality: then $a \times d=b \times c$ .
Write a proportion. 1) 21 is to 7 as 3 is to 1 . 2) 28 is to 32 as 7 is to 8 $\qquad$ 3) 3.2 is to 11 as 16 is to 55

Susie takes out a car loan for $\$ 21,000$ for a term of 3 years at $6 \%$ interest compounded monthly. (a) Find her monthly payment. (b) Find the total amount she pays for the car. (c) Find the total amount of interest she pays.

Issuming boys and girls are equally likely, find the probability of a couple having a baby girl when their sixth child is born, given that the first five children were all girls.
The probability is $\square$ (Type an integer or a simplified fraction.) Clear all Check answer

Select the correct choice that completes the sentence below. The vertical line through the vertex of a parabola that opens upward or downward is the $\square$ of the parabola. The two halves of the parabola are $\square$ images of each other across this line. Clear all Final chest

Solve Problems with Percent - Instruction - Level F
Jada works a 5-hour shift, or 300 minutes, at a retail store. She gets a 15-minute break during her work shift. Jada wants to know what percent of her work shift the break is.
What fraction of Jada's work shift is her break? $\square$ ?

is the probability of getting the correct Social Security number of the person who was given the receipt?
The probability is $\square$ (Type an integer or a simplified fraction.) my instructor Clear all Check answer

Find a formula for the exponential function shown in the graph. Use the variables $x$ and $f(x)$ or $x$ and $y$ .
If necessary, round any parameters of the function to four decimal places: Formula: $\square$

When randomly selecting an adult, $A$ denotes the event of selecting someone with blue eyes. What do $P(A)$ and $P(\bar{A})$ represent? $P(A)$ represents the $\square$ $P(\bar{A})$ represents the

2. Jonathan's checking account balance is $-\$ 45$ . After receiving his allowance, he deposits $\$ 7$ into the account. What is the balance of the account after Jonathan's deposit? I KNOW: I NEED TO KNOW:
PIAN AND WORK: SOIUTION:

Question If Will takes out a 13,000 loan at $4.3 \%$ interest compounded semiannually and pays it off in one payment after 6 years, how much is the payment? Round you answer to the nearest cent.

Translate the following phrase into an algebraic expression: six times seven $y$ less than ten.

The 20.0 W electric motor of a toy car is ranked as $91.0 \%$ efficient. If the motor is to accelerate the 740 g car from rest along a horizontal surface, then determine the maximum speed that the car can attain in 3.80 seconds.