Equation

Problem 2201

Find all solutions to the equation. cos3x+1=0\cos 3 x+1=0
Write your answer in radians in terms of π\pi, and use the "or" button as necessary.
Example: x=π5+2kπ,kZx=\frac{\pi}{5}+2 k \pi, k \in \mathbb{Z} or x=π7+kπ,kZx=\frac{\pi}{7}+k \pi, k \in \mathbb{Z} Help with this notation

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Problem 2202

Find all solutions to the equation. tan(12x)3=0\tan \left(\frac{1}{2} x\right)-\sqrt{3}=0
Write your answer in radians in terms of π\pi, and use the "or" button as necess
Example: x=π5+2kπ,kZx=\frac{\pi}{5}+2 k \pi, k \in \mathbb{Z} or x=π7+kπ,kZx=\frac{\pi}{7}+k \pi, k \in \mathbb{Z} Help with this notation

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Problem 2203

450÷0.1=450÷0.01=450÷0.001=\begin{array}{r}450 \div 0.1= \\ 450 \div 0.01= \\ 450 \div 0.001=\end{array}

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Problem 2204

Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle
1. Set up the proportion:
2. Use cross product: 96=x16\frac{9}{6}=\frac{x}{16}
3. Simplify: 9(16)=6x9(16)=6 x
4. Divide: 144=144= \square \square =x=x

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Problem 2205

Consider the reduction of the rectangle. 18in.18 \mathrm{in.}
8 in. xx in. 3 in.
Write a proportion and then solve to find the missing measure of the reduced rectangle.
What two ratios can be used in the proportion?
What is the value of the missing measure?

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Problem 2206

35. a. 12x2=2\frac{1}{2} x-2=2 b. 12logxlog100=2\frac{1}{2} \log x-\log 100=2

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Problem 2207

Solve the quadratic equation 3x2+2x10=03x^{2} + 2x - 10 = 0 using the quadratic formula.

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Problem 2208

Solve for yy. 3y2+4=7y3 y^{2}+4=-7 y
If there is more than one solution, separate them with commas. If there is no solution, click on "No solution." y=y= \square

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Problem 2209

Analyzing a Solution
Medea found the missing measure using a proportion of the reduced trapezoid.
1. Proportion: 4x=812\frac{4}{x}=\frac{8}{\frac{1}{2}}
2. Cross products: 4(12)=8(x)4\left(\frac{1}{2}\right)=8(x)
3. Simplify: 2=8x2=8 x
4. Divide: 14=x\frac{1}{4}=x

Analyze Medea's work. In which step did Medea make an error? In step 1, the corresponding parts are in different positions. In step 2, the cross products should be multiplied instead of being equal. In step 3, she should have added instead of multiplying to simplify. In step 4, she needed to divide 2 to both sides to get x=4x=4.

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Problem 2210

The radius of a cylindrical construction pipe is 3 ft . If the pipe is 34 ft long, what is its volume? Use the value 3.14 for π\pi, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer. \square

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Problem 2211

Question 8 of 11 (1 point) I Question Attempt: 1 of Unilmited
Kala trained three racehorses. She trained the first for 40 months, the second for 70 months, and the third for 90 months. The diagram below shows the number of races each horse won.
State whether the number of races won and number of months trained are proportional for the three horses. If they are proportional, fill in the blank with a whole number or a decimal. Proportional The number of races a horse won is \square times the number of months the horse was trained. Not proportional

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Problem 2212

43. log(logx)=1\log (\log x)=1

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Problem 2213

5. Sara was helping her father assemble a slide for the local park. He decides to reinforce the slide with an extra support beam. How long should the extra support beam be?

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Problem 2214

Solve. If there is more than one solution, separate them with a comma. 8+43x+3=88+4|3 x+3|=-8

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Problem 2215

A grain silo has a cylindrical shape. Its radius is 8.5 ft , and its height is 39 ft . What is the volume of the silo? Use the value 3.14 for π\pi, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer. \square ft ft2\mathrm{ft}^{2} ft3\mathrm{ft}^{3}

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Problem 2216

10 11 12
The Sugar sweet Company is going to transport its sugar to market. It will cost $3500\$ 3500 to rent trucks, and it will cost an additional $175\$ 175 for each ton of sugar transported.
Let CC represent the total cost (in dollars), and let SS represent the amount of sugar (in tons) transported. Write an equation relating CC to SS. Then use this equation to find the total cost to transpyyt 12 tons of sugar.
Equation: \square
Total cost to transport 12 tons of sugar: \square Check

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Problem 2217

Find all solutions of the equation in the interval [0,2π)[0,2 \pi). 2sin2x+3=02 \sin 2 x+\sqrt{3}=0
Write your answer in radians in terms of π\pi. If there is more than one solution, separate them with commas. x=x=

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Problem 2218

A pole leans away from the sun at an angle of 99^{\circ} to the vertical. When the elevation of the sun is 5252^{\circ}, the pole casts a shadow 44 ft long on level ground. How long is the pole?
The pole is \square ft long. (Round to the nearest foot as needed.)

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Problem 2219

Isabel drove 355 miles using 17 gallons of gas. At this rate, how many gallons of gas would she need to drive 284 miles? gallons

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Problem 2220

5. For (2x3+5x2kx+9)÷(x+3)\left(2 x^{3}+5 x^{2}-k x+9\right) \div(x+3), determine the value of kk if the remainder is 6 .

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Problem 2221

Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 28 liters per minute. There are 400 liters in the pond to start. Let WW represent the total amount of water in the pond (in liters), and let TT represent the total number of minutes that water has been added. Write an equation relating WW to TT. Then use this equation to find the total amount of water after 14 minutes.
Equation: \square \square \square \square ==\square \square -
Total amount of water after 14 minutes: \square liters Save For Later Submit Assignment Check Privacy Center Aceesthin

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Problem 2222

8. Larry buys a tent that is on sale for 25%25 \% off the original price. The original price is $80\$ 80 more than the sale price. What is the original price of the tent?

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Problem 2223

Find all solutions of the equation in the interval [0,2π)[0,2 \pi). 1+cotx=cscx\sqrt{1+\cot x}=\csc x
Write your answer(s) in radians in terms of π\pi. If there is more than one solution, separate them with commas. x=x= \square

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Problem 2224

斒, Write the sentence as an equation. [唁] aa is the product of 256 and aa, increased by 368 [i].] Type a slash ( / ) if you want to use a division sign. \square Submit

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Problem 2225

(i) Write the sentence as an equation.
效, Type a slash ( / ) if you want to use a division sign. \square Submit

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Problem 2226

Three consecutive integers have a sum of 57 . Find the integers. \square

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Problem 2227

1) 「 _{\text {A }}, Write the sentence as an equation. )) 层, mm times 221 is 133 \square Submit

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Problem 2228

Find the distance between the given 7.8 9.1 8.2 6.5 6.3

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Problem 2229

Big babies: The National Health Statistics Reports described a study in which a sample of 97 one-year-old baby boys were weighed. Their mean weight was 25.1 pounds with standard deviation 5.3 pounds. A pediatrician claims that the mean weight of one-year-old boys is greater than 25 pounds, Do the data provide convincing evidence that the pediatrician's claim is true? Use the α=0.05\alpha=0.05 level of significance and the PP-value method and Excel.
Part: 0/50 / 5
Part 1 of 5 (a) State the appropriate null and alternate hypotheses. H0:H1:\begin{array}{l} H_{0}: \square \\ H_{1}: \square \end{array}
This hypothesis test is a (Choose one) \boldsymbol{\nabla} test. \square Nexhrart Submit Assignment 1020erM 1 14eres4

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Problem 2230

EXAM CODE 02 d) The average duration of the assets of God's Time Bank is 8.93 and that average duration of its liabilities is 5.92 . The value of the bank's assets is GH\& 345 million. Suppose that 12%12 \% of the assets are financed by equity. What will be the change in the networth of the bank if interest rates rise by 1.5%1.5 \% over the coming year? [6 marks]

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Problem 2231

The charter of a corporation provides for the issuance of 134,000 shares of common stock. Assume that 63,000 shares were originally issued and 13,300 were subsequently reacquired. What is the number of shares outstanding? a. 13,300 b. 49,700 C. 63,000 d. 134,000

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Problem 2232

The population of a fish farm in is modeled by the equation P(t)=60002+18e0.6tP(t)=\frac{6000}{2+18 e^{-0.6 t}} where tt is time in years. Part 1 What is the size of the initial population? \square fish help (numbers)

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Problem 2233

竣, Spolve for zz. 23z=2+32z12z=\begin{array}{l} \frac{2}{3} z=2+\frac{3}{2} z-\frac{1}{2} \\ z=\square \end{array} Submit

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Problem 2234

525f+32f=f12f+4f=\begin{array}{l} 5-\frac{2}{5} f+\frac{3}{2} f=f-\frac{1}{2} f+4 \\ f=\square \end{array}
Submit

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Problem 2235

54q=13q23+2q=\begin{array}{l} \frac{5}{4} q=\frac{1}{3} q-\frac{2}{3}+2 \\ q=\square \end{array} Submit

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Problem 2236

15. Sara works at a store where she earns $13.50\$ 13.50 per hour. a. Write an equation that shows the relationship between the total amount of money in dollars Sara earns dd and the number of hours she works hh. d=13.50d=13.50 xhx h b. Sara works 35 hours. How much money does she earn? d=47d=47 2:52: 5 0 c. How many hours does Sara work to earn $675\$ 675 ?

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Problem 2237

Find all solutions of the equation in the interval [0,2π)[0,2 \pi). cscθ=32\csc \theta=\frac{3}{2}
If there is more than one solution, separate them with commas. Do not round any intermediate computations. Give your answer(s) in radians, and round your answer(s) to the nearest hundredth. θ=\theta= \square ㅁ, ,...

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Problem 2238

Find all solutions of the equation in the interval [0,2π)[0,2 \pi). cosθ=0.4262\cos \theta=-0.4262
If there is more than one solution, separate them with commas. Do not round any intermediate computations. Give your answer(s) in radians, and round your answer(s) to the nearest hundredth. θ=\theta= \square ロ,ם,...

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Problem 2239

Watch Vider
Question 700 students attend Ridgewood Junior High School. 25%25 \% of students bring their lunch to sch everyday. How many students brought their lunch to school on Thursday?
Insert the values given in the problem then scale up or down to find the missing value.

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Problem 2240

A square based pyramid and a rectangular prism have the same height and their bases are congruent squares.
1. If the volume of the rectangular prism is 150 cm3150 \mathrm{~cm}^{3}, what is the volume of the square pyramid?

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Problem 2241

Graph the line. y=3x+2y=3 x+2

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Problem 2242

11. (1 pts) A construction crew is digging a hole. The table below shows the proportional relationship between the depth of the hole and the amount of time spent digging. \begin{tabular}{|c|c|} \hline Hours & Depth in Feet \\ \hlineEC2E C 2 & -7 \\ \hline 4 & -14 \\ \hline 2C72 C 7 & -24.5 \\ \hline 1/41 / 4 & -15 \\ \hline \end{tabular}
Find the constant of proportionality. y=14x(12)y=14 x \quad(12)
Find the amount of time it will take the crew to reach -15 feet. y=14xy=14 x

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Problem 2243

Solve by quadratic formula x26x+53=0x^{2}-6 x+53=0

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Problem 2244

Find all solutions of the equation in the interval [0,2π)[0,2 \pi). 1tanx=secx-\sqrt{1-\tan x}=\sec x
Write your answer(s) in radians in terms of π\pi. If there is more than one solution, separate them with commas. x=x= \square

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Problem 2245

Question
Solve for xx, rounding to the nearest hundredth. e3x=4e^{3 x}=4
Answer Attempt 1 out of 2

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Problem 2246

College tuition: The mean annual tuition and fees in the 2013-2014 academic year for a sample of 13 private colleges in California was $33,000\$ 33,000 with a standard deviation of $7300\$ 7300. A dotplot shows that it is reasonable to assume that the population is approximately normal. Can you conclude that the mean tuition and fees for private institutions in California is less than $35,000\$ 35,000 ? Use the α=0.01\alpha=0.01 level of significance and the PP-value method and Excel.
Part 1 of 5 (a) State the appropriate null and alternate hypotheses. H0:μ=35,000H1:μ<35,000\begin{array}{l} H_{0}: \mu=35,000 \\ H_{1}: \mu<35,000 \end{array}
This hypothesis test is a left-tailed \quad \mathbf{} test. Part 2 of 5 Skip Part Check Save For Later Submit Assi Q 2024 McGraw Hill LLC. All Rights Reserved. Terms of Use I Privacy Center

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Problem 2247

a. 503=1623\frac{50}{3}=16 \frac{2}{3} (Simplify your answer. Type an integer, proper fraction, or mixed number.) b. 281100=-\frac{281}{100}= \square (Simplify your answer. Type an integer, proper fraction, or mixed number.)

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Problem 2248

15. Use the slope-intercept form to graph the equation y=6x+2y=-6 x+2

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Problem 2249

The small slider has a speed vA=15ft/secv_{A}=15 \mathrm{ft} / \mathrm{sec} as it passes point AA. Neglecting friction, determine its speed as it passes point BB.

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Problem 2250

Solve for xx. Give an exact answer. 0.5(57x)=8(4x+6)x=\begin{array}{l} 0.5(5-7 x)=8-(4 x+6) \\ x=\square \end{array}

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Problem 2251

Which of the following equations hav exactly one solution?
Choose all answers that apply: A 2x31=2x312 x-31=2 x-31 B 2x31=2x312 x-31=-2 x-31 (c) 2x+31=2x312 x+31=2 x-31 (D) 2x2=2x312 x-2=2 x-31

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Problem 2252

Michael is 4 times as old as Brandon and is also 27 years older than Brandon.
How old is Michael? \square

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Problem 2253

The sum of 5 consecutive odd numbers is 145.
What is the third number in this sequence? \square

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Problem 2254

Find the perimeter of the rectangle

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Problem 2255

Solve for xx : x=x=\square

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Problem 2256

Solve for dd. 2d+4=10+2.5dd=\begin{array}{l} 2 d+4=10+2.5 d \\ d=\square \end{array}

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Problem 2257

Complete the square on the following quadrat x2+4x+24=0x^{2}+4 x+24=0

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Problem 2258

Solve by completing the square. x2+10x+22=0x^{2}+10 x+22=0

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Problem 2259

3x+4=2x13 x+4=-2 x-1

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Problem 2260

Asset A , which has an expected return of 12%12 \% and a beta of 0.8 , plots on the security market line. Which of the following is false about Asset B , another risky asset with a beta of 1.4 ?
Multiple Choice If Asset B plots on the SML with an expected return =18%=18 \%, the expected return on the market must be 15%15 \%. Asset B has more systematic risk than both Asset A and the market porffolio. If the market is in equilibrium, Asset BB also plots on the SML. If Asset B plots on the SML with an expected return =18%=18 \%, then the risk-free rate must be 4%4 \%. If Asset B plots on the SML, then Asset B and Asset AA have the same reward to risk ratio.

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Problem 2261

What would you pay for a share of MajorSoft Corporation stock today if the next dividend is expected to be $5.56\$ 5.56 per share, your required return on the stock is 14.50%14.50 \%, and the stock is expected to be worth $213.20\$ 213.20 one year from now? 6:41
Multiple Choice $191.06\$ 191.06 $204.39\$ 204.39 \194.85194.85 \184.33 184.33 \$186.20

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Problem 2262

(iii) the equation of the line passing through AA and C.
8. The lines 2x5=ky2 x-5=k y and (k+1)x=6y3(k+1) x=6 y-3 have the same gradient. Find the possible values of kk.

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Problem 2263

Solve for xx. 4x+3=32x4^{x+3}=3^{2 x}
Write the exact answer using either base-10 or base-e logarithms. x=x= \square log\square \log 口 ㅁIn \square \square \square No solution

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Problem 2264

XYZ Corporation's next dividend is expected to be $3\$ 3 per share. Dividend growth rate has been at 2%2 \% and expected to be so into the future. If investor's return is 10%10 \%, calculate the stock price last year.
Multiple Choice $35.86\$ 35.86 $36.76\$ 36.76 $36.16\$ 36.16 $36.46\$ 36.46 37.07

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Problem 2265

A ball of mass 0.6 kg , initially at rest, is kicked directly toward a fence from a point 20 m away, as shown below.
The velocity of the ball as it leaves the kicker's foot is 16 m/s16 \mathrm{~m} / \mathrm{s} at angle of 5151^{\circ} above the horizontal. The top of the fence is 4 m high. The ball hits nothing while in flight and air resistance is negligible.
The acceleration due to gravity is 9.8 m/s29.8 \mathrm{~m} / \mathrm{s}^{2}.
Determine the time it takes for the ball to reach the plane of the fence.
Answer in units of s.

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Problem 2266

Not dram to scale What is the value of xx, rounded to the nearest tenth? 2.1 centimeters 3.3 centimeters 7.0 centimeters Mark this and return Save and Exit Next

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Problem 2267

The small rectangle was enlarged to create the big rectangle.
2 ft
Not drawn to scale
What is the missing measure on the big rectangle? 6 feet 10 feet 24 feet 30 feet

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Problem 2268

Margaret uses 1341 \frac{3}{4} teaspoons of key lime zest to make 12 key lime cupcakes. She wants to make 30 cupcakes. How much key lime zest will Margaret use?

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Problem 2269

Find the value of xx.

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Problem 2270

TIME RENAINING 54:50
Bobby knows that the perimeter of the original rectangle is 120 meters. He also knows that the perimeter of the reduced rectangle is 30 meters and the reduced length is 9 meters.
Not drawn to scale What is the width of the original rectangle? 20 meters 24 meters 36 meters 48 meters Mark this and return Save and Exit

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Problem 2271

Find all complex solutions for the following equation by hand. 3x+15x1=4x1x2\frac{3}{x+1}-\frac{5}{x-1}=\frac{4 x}{1-x^{2}}
Select the correct choice below and, if necessary, fill in the answer box to complete your answer. A. The solution set is \square 3. (Type an integer or a simplified fraction.) B. The solution set is the set of real numbers. C. The solution set is an empty set.

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Problem 2272

Use the given information and theorems and postulates you have learned to show that cdc \| d.
18. m4=58,m6=58\mathrm{m} \angle 4=58^{\circ}, \mathrm{m} \angle 6=58^{\circ}
19. m1=(23x+38),m5=(17x+56),x=3\mathrm{m} \angle 1=(23 x+38)^{\circ}, \mathrm{m} \angle 5=(17 x+56)^{\circ}, x=3
20. m6=(12x+6),m3=(21x+9),x=5\mathrm{m} \angle 6=(12 x+6)^{\circ}, \mathrm{m} \angle 3=(21 x+9)^{\circ}, x=5
21. m1=99,m7=(13x+8),x=7\mathrm{m} \angle 1=99^{\circ}, \mathrm{m} \angle 7=(13 x+8)^{\circ}, x=7

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Problem 2273

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=48.5\sigma=48.5. You would like to be 99%99 \% confident that your esimate is within 2 of the true population mean. How large of a sample size is required? n=n= \square
Do not round mid-calculation. However, use a critical value accurate to three decimal places - this is important for the system to be able to give hints for incorrect answers.

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Problem 2274

TIME REMAINING 53:01
Jorge wants to determine the enlarged dimensions of a digital photo to be used as wallpaper on his computer screen. The original photo was 800 pixels wide by 600 pixels high. The new photo will be 1,260 pixels wide. What will the new height be? 460 pixels 945 pixels 1,680 pixels 1,860 pixels

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Problem 2275

b) x26x+13=0x^{2}-6 x+13=0

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Problem 2276

Marnie solved the proportion 150170=x510\frac{150}{170}=\frac{x}{510} to find the value of xx in the enlarged parallelogram.
Not drawn to scale
What is the value of xx ? x=255x=255 x=300x=300 x=340x=340 x=450x=450

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Problem 2277

MAIN COURSE
5. The following clients have opened loan accounts with Wachovia. Use the simple interest formula I=prrI=p r r to calculate the principal, rate, time, or interest earned by each client. Calculate the interest to the nearest cent, and write your answers in the chart below. \begin{tabular}{|c|c|c|c|c|} \hline Client Name & Principal & Rate & Time & Interest Earned \\ \hline Jack Jones & $2,455\$ 2,455 & 3%3 \% & & $441.90\$ 441.90 \\ \hline Oscar Owens & & 4.25%4.25 \% & 3 years & $663\$ 663 \\ \hline Paula Prince & $18,500\$ 18,500 & & 42 months & $1,942.50\$ 1,942.50 \\ \hline \end{tabular}
6. Malik deposited $1,050\$ 1,050 in a savings account, and it earned $241.50\$ 241.50 in simple interest after four years. Find the interest rate on Malik's savings account.
7. Mr. Brown has $410,000\$ 410,000 in a retirement account that earns 3.85%3.85 \% interest each year. How many years was the money invested if it earned $47,355\$ 47,355 in interest?
8. When Melissa was born, her parents put money into a college fund account that earned 9%9 \% simple interest. After 18 years the account had earned $3240\$ 3240 in interest. How much was the initial investment (principle)?

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Problem 2278

1
Maria studied the traffic trends in India. She found that the number of cars on the road increases by 10%10 \% each year. If there were 80 million cars in year 1 of her study, how many more cars were on the road in year 3 compared to year 2 ? 8,000,0008,000,000 8,800,000 88,000,000 96,800,000 Save and Exit Next Submit Mark this and return

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Problem 2279

5. The following clients have opened loan accounts with Wachovia. Use the simple interest formula t=prrt=p r r to calculate the principal, rate, time, or interest earned by each client. Calculate the interest to the nearest cent, and write your answers in the chart below. \begin{tabular}{|c|c|c|c|c|} \hline Client Name & Principal & Rate & Time & Interest Earned \\ \hline Jack Jones & $2,455\$ 2,455 & 3%3 \% & & $441.90\$ 441.90 \\ \hline Oscar Owens & & 4.25%4.25 \% & 3 years & $663\$ 663 \\ \hline Paula Prince & $18,500\$ 18,500 & & 42 months & $1,942.50\$ 1,942.50 \\ \hline \end{tabular}
6. Malik deposited $1,050\$ 1,050 in a savings account, and it earned $241.50\$ 241.50 in simple interest after four years. Find the interest rate on Malik's savings account.  ears. Find the interest rate on Malik’s savings account. r.4.50\text { ears. Find the interest rate on Malik's savings account. } r .4 .50 5.75%5.75 \%
7. Mr. Brown has $410,000\$ 410,000 in a retirement account that earns 3.85%3.85 \% interest each year. How many years was the money invested if it earned $47,355\$ 47,355 in interest? t=pˉr=47,355\begin{array}{l} t=\frac{\bar{p} \cdot r}{}= \\ 47,355 \end{array} \qquad 3 years
8. When Melissa was born, her parents put money into a college fund account that earned 9%9 \% simple interest. After 18 years the account had earned $3240\$ 3240 in interest. How much was the initial investment (principle)?
9. Robert won $900,000\$ 900,000 in the North Carolina State Lottery. After paying $350,000\$ 350,000 in taxes, he invested the remaining money in a savings account with a 4.25%4.25 \% interest rate. How much money is in the account if Robert makes no deposits or withdrawals for two years?
10. Consuelo deposited an amount of money in a savings account that earned 6.3%6.3 \% simple interest. After 20 years, she had earned $5,922\$ 5,922 in interest. What was her initial deposit?
11. A deposit of $2,500\$ 2,500 grew to $3,325\$ 3,325 after 6 years. What is the final value of a deposit of $7,500\$ 7,500 at the same interest rate for the same period of time?
12. Maria borrows $35,000\$ 35,000 at 6.5%6.5 \% simple interest per year. When Lisa pays the loan back 8 years later, what is the total amount that Lisa ends up repaying?

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Problem 2280

Question 8 0/10 / 1
Solve for xx : log(x)+log(x+5)=2x=\begin{array}{l} \log (x)+\log (x+5)=2 \\ x=\square \end{array}
You may enter the exact value or round to 4 decimal places. Question Help: \square Video Submit Question
Question 9 0/1 pt
If lnx+ln(x5)=ln(2x)\ln x+\ln (x-5)=\ln (2 x), then x=x= \square

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Problem 2281

Let Q(1,2,3)Q(1,2,3) be a point in R3,P1:xy+z=1\mathbb{R}^{3}, P_{1}: x-y+z=-1 be a plane in R3\mathbb{R}^{3}. (a) Find the parametric equations of the plane P1P_{1}. (b) Find the general equation of the plane P2P_{2} through QQ that is parallel to P1P_{1} (c) Find the distance between the planes P1P_{1} and P2P_{2}.

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Problem 2282

Given a right triangle with a 60° angle and a hypotenuse of length 7, find the missing sides.\text{Given a right triangle with a 60° angle and a hypotenuse of length 7, find the missing sides.}

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Problem 2283

19. 1÷859=11÷=×=\begin{aligned} 1 \div 8 \frac{5}{9} & =\frac{1}{1} \div \square \\ & =\square \times \\ & = \end{aligned}

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Problem 2284

6. Malik deposited \1,050inasavingsaccount,anditearned1,050 in a savings account, and it earned \241.50 241.50 in simple interest after four years. Find the interest rate on Malik's savings account. r=r= \qquad rocount: 24.50 many \qquad 47.25575785=\frac{47.255}{75785}= 3 years \qquad t=t= t \qquad investment (principle)? \qquad 3.2400.09×78\frac{3.240}{0.09 \times 78} P 3, 240 1.62 =$2,000=\$ 2,000
DESSERT
9. Robert won $900,000\$ 900,000 in the North Carolina State Lottery. After paying $350,000\$ 350,000 in taxes, he invested the remaining money in a savings account with a 4.25%4.25 \% interest rate. How much money is in the account if Robert makes no deposits or withdrawals for two years? I=4.75.75 gI=4.75 .75 \mathrm{~g}
10. Consuelo deposited an amount of money in a savings account that earned 6 After 20 years, she had earned $5,922\$ 5,922 in interest. What was her initial deposit? 5920=P×0.063×20=0.063×205920=P \times 0.063 \times 20=0.063 \times 20 P=4,7P=4,7
11. A deposit of $2,500\$ 2,500 grew to $3,325\$ 3,325 after 6 years. What is the final value of a deposit of $7,500\$ 7,500 at the same interest rate for the same period of time?
12. Maria borrows $35,000\$ 35,000 at 6.5%6.5 \% simple interest per year. When Lisa pays the loan back 8 years later, what is the total amount that Lisa ends up repaying?

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Problem 2285

11. A deposit of $2,500\$ 2,500 grew to $3,325\$ 3,325 after 6 years. What is the final value of a deposit of $7,500\$ 7,500 at the same interest rate for the same period of time?
12. Maria borrows $35,000\$ 35,000 at 6.5%6.5 \% simple interest per year. When Lisa pays the loan back 8 years later, what is the total amount that Lisa ends up repaying?

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Problem 2286

The Candle Company is having its semiannual sale. All items are 40 percent off. If the original price of a candle basket is $120\$ 120, what is the sale price? \36$4836 \$48 \72 72 \$84

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Problem 2287

MAIN COURSE
5. The following clients have opened loan accounts with Wachovia. Use the simple interest formula I=prtI=p r t to calculate the principal, rate, time, or interest earned by each client. Calculate the interest to the nearest cent, and write your answers in the chart below. \begin{tabular}{|c|c|c|c|c|} \hline Client Name & Principal & Rate & Time & Interest Earned \\ \hline Jack Jones & $2,455\$ 2,455 & 3%3 \% & & $441.90\$ 441.90 \\ \hline Oscar Owens & & 4.25%4.25 \% & 3 years & $663\$ 663 \\ \hline Paula Prince & $18,500\$ 18,500 & & 42 months & $1,942.50\$ 1,942.50 \\ \hline \end{tabular}

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Problem 2288

Pre-Test
Active
1 2 3 4.
Raymond bought a used truck for $18,800\$ 18,800. If the sales tax in his state is 7 percent, what was the final price for his car? \$1,316 \$1,504 \$20,116 \$20,492

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Problem 2289

1 2 3 4 5
A board game that normally costs $30\$ 30 is on sale for 25 percent off. What is the sale price of the game? $22.50\$ 22.50 \27.5027.50 \32.50 32.50 $37.50\$ 37.50

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Problem 2290

11. A deposit of $2,500\$ 2,500 grew to $3,325\$ 3,325 after 6 years. What is the final value of a deposit of $7,500\$ 7,500 at the same interest rate for the same period of time?

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Problem 2291

1 2 3 4 5 6 7 8.
The value of a car decreases by 20 percent per year. Mr. Sing purchases a $22,000\$ 22,000 automobile. What is the value of the car at the end of the second year? \$14,080 \$17,600 \$19,800 \$26,400

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Problem 2292

A line that passes through the point (2,2)(-2,2) has a slope of 38\frac{3}{8}.
If you use the slope to make another point, the coordinates of the new point are * Make sure point is located in quadrant I. ( type your answer... type your a

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Problem 2293

(1) (10pts)ddtx=[2222]x(10 \mathrm{pts}) \frac{d}{d t} \vec{x}=\left[\begin{array}{cc}2 & -2 \\ 2 & 2\end{array}\right] \vec{x}.

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Problem 2294

18 Fill in the Blank 1 point
You start a small business selling used electronics. You make your money by buying damaged goods, repairing them, and then selling them for a profit. You begin the year with 250 dollars at the start of January (January 1). You end the fiscal year with 5,000 dollars at the end of December (December 31).
Let xx represent time in months and let y represent US dollars. Hint: Let January be x=0\mathrm{x}=0 and December be x=12\mathrm{x}=12. What was your average monthly increase in revenue throughout the year? Round to the nearest CENT (nearest hundreths): $\$ type your answer...

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Problem 2296

6. The cafeteria ordered 23 boxes of peach yogurt and 57 boxes of raspberry yogurt. Each box contained 6 cups of yogurt. How many cups of yogurt did the cafeteria order?

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Problem 2297

1 2 3 4 5 6 7 8 9 10
Maya is choosing between several pay plans for her new job. If she usually has monthly sales of about $5,000\$ 5,000, whi plan would allow Maya to earn the most money in a month? \begin{tabular}{|c|c|c|} \hline Plan & Monthly base salary & Commission rate \\ \hline A & $500\$ 500 & 8%8 \% \\ \hline B & $600\$ 600 & 7%7 \% \\ \hline C & $700\$ 700 & 6%6 \% \\ \hline D & $800\$ 800 & 5%5 \% \\ \hline \hline \end{tabular} plan A plan B plan CC plan D

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Problem 2298

Math 161 Hand In Assignment - Log/Exp Equations Name Aalea O) agu
Show all work in the spaces below. All answers should be exact when possible. Please circle final answers.
Solve the following:
1. 93x5=279^{3 x-5}=27
2. 3x+54=83^{x+5}-4=8 (leave your answer in terms of logs)
3. log73+log7(x2)=log7(4x9)\log _{7} 3+\log _{7}(x-2)=\log _{7}(4 x-9)
4. log2x+log2(x3)=2\log _{2} x+\log _{2}(x-3)=2

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Problem 2299

A dining set is priced at $785\$ 785. If the sales tax is 7 percent, what is the cost to purchase the dining set? Round to the nearest cent if necessary. inepareanire 01:56:54 1 2 3 aa 528 5 \square 2 1 18 (a) E $54.95\$ 54.95 $79200\$ 79200 $839.95\$ 839.95 $113450\$ 113450

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Problem 2300

What is the value of pp in the proportion below? 206=p12\frac{20}{6}=\frac{p}{12} 2 10 40 72

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