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Problem 101

Find the missing terms in each geometric sequence below. Show your colutions. $\begin{array}{l} -3, \ldots,-18,54 \\ 2 .-2, \ldots, \frac{1}{16} \end{array}$

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Problem 102

1.) Eine Parabel mit dem Scheitel $S(2 / 12)$ schneidet die $y$ -Achse in der Höhe $y_{0}=6$ . c) Bestimme die Funktionsgleichung in Scheitelpunktsform (SPF) und in allgemeiner Form (AF), d.h. $f(x)=a x^{2}+b x+c$

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Problem 103

Henrietta managed a plantation of pine trees which were grown and sold for their timber. The plantation was developed from an initial planting of 45000 trees, with a net increase, after sales and plantings, of 2500 trees each year over a period of 15 years. At the beginning of the 16 th year of the plantation, it was decided to sell-off $40 \%$ of the trees remaining on the plantation each year for timber, without any further plantings, so that the land could ultimately be used for another purpose. Questions:
1. How many trees were on the plantation at the beginning of the 5 th year of the plantation?
2. At the beginning of which year of the plantation there were 65000 trees on the plantation?

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Problem 104

14. Barb and John Cooper's family had the following co-payments: 9 in-network physicians visits, 10 out-of-network physicians, 2 specialist visits in-network, 10 out-of-network specialists, 15 out-of-network physical therapy visits at $\$ 110$ each, and 1 emergency room visits plus an ambulance fee of $\$ 200$ . Since they prefer brand drugs, they had pharmacy charges for 15 brand-name drugs. After the insurance company payment, there was a hospital balance of $\$ 9,260$ (which includes the family deductible of $\$ 4,500$ ). What was the total amount the family paid for health care, excluding their monthly insurance premium cost? a. $\$ 15,945.00$ b. $\$ 11,445.00$ c. $\$ 9,445.00$ d. $\$ 9,145.00$
Business Math - Exam 16 - Page 4 Go On
16. Using all of the medical services defined in question 14, how much would Barb and John Cooper have saved if they had used all in-network physicians, specials, and therapists instead of using out-of-network physicians, specialists, and therapists? a. $\$ 365.00$ b. $\$ 300.00$ c. $\$ 200.00$ $\$ 150.00$

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Problem 105

50 La somma di $200000 €$ viene spartita tra Ugo e Alessio in modo che a Ugo tocchi il 65\% del totale. Quanto spetta ad Alessio? $[70000 €]$

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Problem 106

14. Barb and John Cooper's family had the following co-payments: 9 in-network physicians visits, 10 out-of-network physicians, 2 specialist visits in-network, 10 out-of-network specialists, 15 out-of-network physical therapy visits at $\$ 110$ each, and 1 emergency room visits plus an ambulance fee of $\$ 200$ . Since they prefer brand drugs, they had pharmacy charges for 15 brand-name drugs. After the insurance company payment, there was a hospital balance of $\$ 9,260$ (which includes the family deductible of $\$ 4,500$ ). What was the total amount the family paid for health care, excluding their monthly insurance premium cost? a. $\$ 15,945.00$ b. $\$ 11,445.00$ c. $\$ 9,445.00$ d. $\$ 9,145.00$ Business Math - Exam 16 - Page 4 Go On
15. How much would Barb and John Cooper have saved if they had used all generic drugs instead of brand-name drugs? a. $\$ 300.00$ b. $\$ 250.00$ c. $\$ 200.00$ $\$ 150.00$
16. Using all of the medical services defined in question 14, how much would Barb and John Cooper have saved if they had used all in-network physicians, specials, and therapists instead of using out-of-network physicians, specialists, and therapists? a. $\$ 365.00$ b. $\$ 300.00$ c. $\$ 200.00$ $\$ 150.00$

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Problem 107

4. En el $\triangle A B C$ , rectángulo en $C, C D$ altura. Si $B C=5 \mathrm{~cm}$ y $D B=4 \mathrm{~cm}$ , entonces $A C=$

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Problem 108

14. Barb and John Cooper's family had the following co-payments: 9 in-network physicians visits, 10 out-of-network physicians, 2 specialist visits in-network, 10 out-of-network specialists, 15 out-of-network physical therapy visits at $\$ 110$ each, and 1 emergency room visits plus an ambulance fee of $\$ 200$ . Since they prefer brand drugs, they had pharmacy charges for 15 brand-name drugs. After the insurance company payment, there was a hospital balance of $\$ 9,260$ (which includes the family deductible of $\$ 4,500$ ). What was the total amount the family paid for health care, excluding their monthly insurance premium cost? a. $\$ 15,945.00$ b. $\$ 11,445.00$ c. $\$ 9,445.00$ d. $\$ 9,145.00$

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Problem 109

14. Barb and John Cooper's family had the following co-payments: 9 in-network physicians visits, 10 out-of-network physicians, 2 specialist visits in-network, 10 out-of-network specialists, 15 out-of-network physical therapy visits at $\$ 110$ each, and 1 emergency room visits plus an ambulance fee of $\$ 200$ . Since they prefer brand drugs, they had pharmacy charges for 15 brand-name drugs. After the insurance company payment, there was a hospital balance of $\$ 9,260$ (which includes the family deductible of $\$ 4,500$ ). What was the total amount the family paid for health care, excluding their monthly insurance premium cost? a. $\$ 15,945.00$ b. $\$ 11,445.00$ c. $\$ 9,445.00$ d. $\$ 9,145.00$
Business Math - Exam 16 - Page 4 Go On
15. How much would Barb and John Cooper have saved if they had used all generic drugs instead of brand-name drugs? a. $\$ 300.00$ b. $\$ 250.00$ c. $\$ 200.00$ $\$ 150.00$
16. Using all of the medical services defined in question 14, how much would Barb and John Cooper have saved if they had used all in-network physicians, specials, and therapists instead of using out-of-network physicians, specialists, and therapists? a. $\$ 365.00$ b. $\$ 300.00$ c. $\$ 200.00$ $\$ 150.00$

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Problem 110

c) Round the following number to the given significant figures 44.27453 i. 3 significant figures. ii. 4 significant figures

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Problem 111

1. Which of the following measures of three angles can be those of a triangle? 1) $40^{\circ}, 60^{\circ}, 80^{\circ}$ 2) $90^{\circ}, 60^{\circ}, 20^{\circ}$ 3) $100^{\circ}, 80^{\circ}, 50^{\circ}$ 4) $40^{\circ}, 80^{\circ}, 90^{\circ}$
2. The measures of the four angles of a quadrilateral are in the ratio of 12.3:4. What is the measure of the greatest angle of quadrilateral? 1) $144^{\circ}$ 2) $135^{\circ}$ 3) $125^{\circ}$ 4) $150^{\circ}$
3. Difference between two complementary angles is $10^{\circ}$ . Calculate the vatues of both angles. 1) $45^{\circ}, 45^{\circ}$ 2) $40^{\circ}, 50^{\circ}$ 3) $50^{\circ}, 60^{\circ}$
4. What is the next row of numbers? 4) $100^{\circ}, 10^{\circ}$ \begin{tabular}{|l|l|l|} \hline 48 & 144 & 192 \\ \hline 38 & 114 & 152 \\ \hline 28 & 84 & 112 \\ \hline \end{tabular} 1) $18 \quad 54 \quad 72$ 2) $58 \quad 184 \quad 244$ 3) $68 \quad 204 \quad 272$
5. If $\angle 1=135^{\circ}, \angle 4=45^{\circ}$ . Then, find $\angle 2$ and $\angle 3$ , respectively 4) $68 \quad 214 \quad 292$ 1) $145^{\circ}, 35^{\circ}$ 2) $130^{\circ}, 50$ 3) $140^{\circ}, 40$ 4) $45^{\circ}, 135^{\circ}$
6. A quadrilateral $A B C D$ is inscribed in a circle. If $A B$ is parallel to $C D$ and $A C=B D$ , then the quadrilateral must be a 1) parallelogram 2) rhombus 3) trapezium - 4) None of these
7. Which of the following is true if $\mathrm{PQ}=\mathrm{RS}$ ? 1) $P Q+Q R=R S$ 2) $P R=Q S$ 3) $P Q+Q S=R S$ 4) $P Q-R S=Q R$

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Problem 112

Question 2 of 10 Which algebraic expression is a product with a factor of 5 ? A. $5(y-6)$ B. $3 y+1$ C. $5 y-7$ D. $-2 y+5+3$

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Problem 113

Kelly has \$25 in her purse and Dante has d dollars in his wallet.
Which algebraic expression represents the total amount that Kelly and Dante hove? A. d-25 B. $25+d$ C. $25-d$ D. 25 d

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Problem 114

at these numbers in order from greatest to least 4 $-\frac{8}{10}$ $4 \frac{1}{10}$

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Problem 115

2. Nesta questāo $\pi: 2 x-3 y-z+5=0, r:(x, y, z)=(2,1,4)+t(2,-3,4), t \in R \in A(-1,2,3)$ representam um plano uma reta e um ponto, respectivamente. (a) (Valor: 1,0) Encontre uma equação de um plano perpendicular a $r$ que passa por $A$ : (b) (Valor: 1,5) A reta $r$ e o plano $\pi$ sâo transversais? Em caso afirmativo, encontre o ponto de interseção entre esses objetos. Em caso negativo, determine a distância entre estes dois objetos.
Faça upload de 1 arquivo aceito: PDF ou image. O tamanho máximo é de 10 MB .

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Problem 116

11. What is the slope of the line that runs between the points $(-2,1)$ and $(3,6)$ ? Assign your variables and use the slope formula. $\begin{array}{l} x_{1}= \\ y_{1}= \\ x_{2}= \\ y_{2}= \\ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\square= \end{array}$

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Problem 117

Your bank charges a \$35 fee on debit card transactions without enough funds. Which of the following remedies will help you avoid this fee? A. Keep a balance above a certain threshold set by the bank. B. Get your paychecks through direct deposit. C. Always ensure that your account has sufficient funds when paying using checks. D. Have the bank decline your card when you can't cover a transaction.

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Problem 118

If a customer is going to leave their money in a bank account for a few years to earn interest, which type of account should they open? savings checking

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Problem 119

What is the balance after 2 years in a savings account with an initial investment of $\$ 800$ and a 3.5\% annual compound interest rate?

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Problem 120

21.12 is what percent of 82.5 ?

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Problem 121

Suppose a charity recievet a danation of 22. it villion. If this represents 278 d of the charitys doarted funds, what is totol amom Rits denated funds?

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Problem 122

The amount of water in the cooler $w$ dropped by 37 cups during the day at a work site, ending at 15 cups. Write an equation to represent this situation. Then, solve the equation for $w$ to determine the amount of water in the cooler at the beginning of the day.

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Problem 123

How much interest is earned on a CD with a 2 year fixed maturity, if the initial investment is $\$ 810$ and the annual interest rate is $2.3 \%$ ?

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Problem 124

If you borrow $\$ 700$ for 4 years at an annual interest rate of $8 \%$ , how much will you pay altogether?

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Problem 125

If you borrow $\$ 300$ for 14 years at an annual interest rate of $4 \%$ , how much will you pay altogether?

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Problem 126

If you borrow $\$ 900$ for 4 years at an annual interest rate of $5 \%$ , how much will you pay altogether?

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Problem 127

If you borrow $\$ 400$ for 3 years at an annual interest rate of $4 \%$ , how much will you pay altogether?

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Problem 128

If you borrow $\$ 500$ for 6 years at an annual interest rate of $7 \%$ , how much will you pay altogether? \$[?]

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Problem 129

10. At what point on the parabola $y=3 x^{2}+2 x$ is the tangent line parallel to the line $y=10 x-2$ ? [ 6 mark

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Problem 130

2. Traveling at 65 miles/hour, how many minutes will it take to drive 125 miles to San Diego?
Convert 50 years into seconds. Express your answer in scientific notation.
Traveling at 65 miles/hour, how many feet can you travel in 22 minutes? ( 1 mile $=5280$ feet)

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Problem 131

[îA, 7 m measured a house and made a scale drawing. In real life, the hall closet is 6 feet lang. It is 10 inches long in the drawing. What is the scale of the drawing? 5 inches: $\square$ feet

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Problem 132

Baker's Financial Planners purchased nine new computers for $\$ 950$ each. It received a $10 \%$ discount because it purchased more than seven and an additional $8 \%$ discount because it took immediate delivery. Terms of payment were $5 / 10, n / 30$ . Baker's pays the bill within the cash discount period. How much should the check be?

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Problem 133

Verizon offers to sell cellular phones listing for $\$ 100.49$ with a chain discount of 15/10/5. Cellular Company offers to sell its cellular phones that list at $\$ 103.99$ with a chain discount of $25 / 5$ . If Irene is to buy six phones, how much could she save if she buys from the lower-priced company?

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Problem 134

DJI manufactures the Mavic Air 2 quadcopter and offered a $5 / 3 / 2$ chain discount to primary customers. Drone Nerds is a primary customer and ordered 20 Mavic Air 2's for a total $\$ 26,000$ list price.
Required: a. What was the net price of the quadcopters?
Note: Do not round intermediate calculations. Round your final answer to the nearest cent.
Net price b. What was the trade discount amount?
Note: Do not round intermediate calculations. Round your final answer to the nearest cent.
Trade discount

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Problem 135

A local Barnes and Noble paid a $\$ 80.35$ net price for each hardbound atlas. The publisher offered a $15 \%$ trade discount. What was the publisher's list price?
Note: Round your answer to the nearest cent.

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Problem 136

15 shares of stock were purchased for $\$ 40$ per share with a $\$ 6$ commission. What is the total cost of this investment?
Total Cost $=\$[?]$

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Problem 137

10 shares of stock were purchased for \$25 per share with a \$6 commission. What is the total cost of this investment?
Total Cost $=\$[?]$

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Problem 138

Título de la tarea: Punto de equilibrio Resultados de aprendizaje: Calcula los costos de producción Analiza los costos Descripción de la tarea: Desarrollar la tarea en un archivo en Excel formulado.
Taller: Punto de Equilibrio
La cadena de establecimientos de restaurantes del Norte S.A. desea un análisis de costo volumen utilidad para el único producto super estrella que maneja. - El precio de venta es de $\$ 200,00 \mathrm{c} / \mathrm{u}$ - Los costos variables son de $\$ 100,00 \mathrm{c} / \mathrm{u}$ - Los costos fijos son de $\$ 100.000,00$
Con estos datos determine:
1. Punto de equilibrio en unidades por el método de ecuación
2. Punto de equilibrio en dólares por el método de ecuación
3. El porcentaje del margen de contribución
4. Suponga que el precio de venta aumenta en $25 \%$ . ¿Cuál será el nuevo punto de equilibrio en unidades y en dólares?

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Problem 139

Título de la tarea:
Punto de equilibrio Resultados de aprendizaje:
Calcula los costos de producción Analiza los costos
Descripción de la tarea: Desarrollar la tarea en un archivo en Excel formulado.
Taller: Punto de Equilibrio
La cadena de establecimientos de restaurantes del Norte S.A. desea un análisis de costo volumen utilidad para el único producto super estrella que maneja. - El precio de venta es de $\$ 200,00 \mathrm{c} / \mathrm{u}$ - Los costos variables son de $\$ 100,00 \mathrm{c} / \mathrm{u}$ - Los costos fijos son de $\$ 100.000,00$
Con estos datos determine:
1. Punto de equilibrio en unidades por el método de ecuación
2. Punto de equilibrio en dólares por el método de ecuación
3. El porcentaje del margen de contribución
4. Suponga que el precio de venta aumenta en $25 \%$ ¿Cuál será el nuevo punto de equilibrio en unidades y en dólares?

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Problem 140

Work done by a force: Calculate the work done by a force field $F(x, y)=\left(x^{\wedge} 2\right.$ $\left.+y^{\wedge} 2, x-y\right)$ on an object moving along the curve C : $\mathrm{x}=\mathrm{t}^{\wedge} 2, \mathrm{y}=\mathrm{t}$ from $\mathrm{t}=0$ to t $=1$ .

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Problem 141

Find the distance between the points ( -9 , 7) and $(9,20)$ . $\sqrt{493}$ 493 $\sqrt{155}$ 155

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Problem 142

1) On trangle rectangie a pourpérinêue som c. sot aire vaut $30 \mathrm{~m}^{2}$ . Déterminer ses dimensions.

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Problem 143

(Vocabulary and Concepts) Fill in the blanks to make each statement true.
1. If $a, b$ , and $c$ are real numbers, and $a \neq 0$ , then the general quadratic equation is $\qquad$ ・
2. The formula $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ is called the $\qquad$ formula.
3. The expression $\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ can be read as "The $\qquad$ of $b$ , plus $\qquad$ the $\qquad$ root of $b$ $\qquad$ minus 4 $\qquad$ $a$ times $c$ , all $\qquad$ 2a."
4. To use the quadratic formula, we begin by writing the equation in . $\qquad$
5. Although the quadratic formula can be used to solve $x^{2}-3 x=0$ , the $\qquad$ method is easier.

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Problem 144

25 shares of stock were purchased for \$25 per share with a \$6 commission. What is the total cost of this investment?

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Problem 145

What is the dividend yield on Stock $A$ that sells at $\$ 30$ /share, when Company A pays a quarterly dividend of $\$ 0.10$ per share? $\begin{array}{c} \text { Dividend Yield }=[?] \% \\ \text { Dividend Yield }=\frac{\text { Annual Dividend }}{\text { Share Price }} \end{array}$

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Problem 146

An investor purchased 70 shares of stock in a company for $\$ 4.760$ , with an $\$ 8$ commission. Later, all of the stock was sold at $\$ 71$ per share. What was the gain or loss on this investment?
Gain or Loss $=\$[?]$
Enter a gain as positive and a loss as negative.

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Problem 147

4) What percentage of 126 is 504 ?

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Problem 148

Find the probability that a vowel will match when choosing one letter from the word "Probability".

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Problem 149

One work was done by team 1 in 10 days and team 2 in 15 days. If we cooperate, how many days will the work be done?

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Problem 150

The balance on a credit card, that charges a 28.5\% APR interest rate, over a 1 month period has a daily balance of $\$ 145$ . What is the finance charge, on the average daily balance, for this 1 month period? $28.5 \%=0.285$
Hint: Divide the decimal by 12 to get the monthly interest rate. De not round that answer. Take that answer and multiply it to the average daily balance.
Finance charge = \ $?$ ]$

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Problem 151

What is the monthly interest payment for an account with a balance of $\$ 100.00$ and an A.P.R. of $12 \%$ ?

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Problem 152

Wolkstuet on Trigonometric functions
1. Fill the Blank space (a) $2 \pi$ radians equals $\qquad$ - degrues (b) 1 radians equars $\qquad$ clesrees
Q $\pi$ rodians equais $\qquad$ degrees (d) For any circle, one rotation. $\qquad$ desnees. (2. Convert each radian miasure to desvees a) $\frac{\pi}{6}$ b) $\frac{\pi}{3}$ d) $\frac{7 \pi}{10}$ c). $-\frac{3 \pi}{4}$ e). $2 \pi$ (3) Convert each degree to radian Measure a). $30^{\circ}$ c) $15^{\circ}$ b). $120^{\circ}$ d) $360^{\circ}$
4. Usins pythagorean identity if $\sin \theta=\frac{3}{5}$ and $\theta$ is in the second quadrant, fand $\cos \theta$ .
5. If $\cos t=\frac{24}{23}$ and $t$ is in the fourth quadrant, find 1.6. What is the demain and Vanpe of sine and Consin sint. functions. T. Clase the Six trisono Metrec functic which one quadsant is tre in Which queadtant is - Ve.

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Problem 153

What is the interest earned after 1 year in a savings account with an initial investment of \$826 and a 3.5\% simple interest rate?

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Problem 154

What is the total payment required to pay off a promissory note issued for $\$ 400.00$ at $6 \%$ ordinary interest and a 90-day term?

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Problem 155

What is the balance after 3 years in a savings account with an initial investment of $\$ 700$ and a $4.6 \%$ annual compound interest rate?

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Problem 156

What is the interest earned after 1 year in a savings account with an initial investment of $\$ 1,550$ and a $4.2 \%$ simple interest rate?

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Problem 157

What is the monthly interest payment for an account with a balance of $\$ 400.00$ and an A.P.R. of $27 \%$ ?

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Problem 158

What is the monthly interest payment for an account with a balance of $\$ 100.00$ and an A.P.R. of $18 \%$ ? $\$[?]$

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Problem 159

How much money will a borrower using Loan 1 pay in interest over the life of the loan? \begin{tabular}{|l|r|r|} \hline & \multicolumn{1}{|c|}{ Loan 1 } & \multicolumn{1}{c|}{ Loan 2 } \\ \hline Principal & $\$ 5000.00$ & $\$ 5000.00$ \\ \hline Monthly Payment & $\$ 148.00$ & $\$ 113.00$ \\ \hline Duration & 36 months & 48 months \\ \hline \end{tabular} $\$[?]$

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Problem 160

Cell Phones. A cellular phone company currently has three towers: one in Tampa, one in Orlando, and one in Gainesville to serve the central Florida region. The company then has decided to add additional towers "halfway" between each city. If Orlando is 80 mifes east of Tampa and Gainesville is 100 miles north of Tampa, how many miles from Tampa is each "halfway" tower?
Round your answers to the nearest integer.
Distance from Tampa to the halfway tower between Tampa and Orlando is $\square$ 40 miles
Distance from Tampa to the halfway tower between Tampa and Gainesville is $\square$ 50 miles
Distance from Tampa to the halfway tower between Gainsville and Orlando is $\square$ 64 miles

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Problem 161

9) Хэвлыийн чехийн ажиттан минутанд $1 \frac{1}{5}$ хуудас уддэг байв. Тэгвэл 60 хуудастай номын хэдэн минутанд үлдэх вэ?

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Problem 162

How much money is needed to make a $6.5 \%$ down payment on a $\$ 500,000$ asset?

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Problem 163

Distanța București-Arad este de 560 km . Distanța pe hartă este de $5,6 \mathrm{~cm}$ . a) Determinați scara hărții. $S=\frac{\text { distanța din desen }}{\text { distanța din teren }}=$

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Problem 164

epression of a point 100 mts from the foot of the tree is $60^{\circ}$ . Find the height of the tree.

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Problem 165

Aiden took out a car loan for 4 years. The maturity value of the loan was \$24,666, and Aiden hac paid \$1,894 in interest. What was the principal amount of the loan?
Hint: Use the formula $P=M V-I$ , where $P$ is the principal, MV is the maturity value, and / is the interest paid. \ $26,560$ \ $30,750$ $\$ 22,772$ \$32,558

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Problem 166

Question 4 5 Points (CE Board May 2017) The angle of intersection of a circular curve is $45^{\circ} 30^{\prime}$ and its radius is 198.17 m . If the PC is at STA $0+700$ , compute the right angle offset from P at STA $0+736.58$ on the curve to the tangent through PC. (A) 3.37 m (B) 2.98 m (C) 3.09 m (D) 3.87 m

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Problem 167

Ester and George want to make trail mix. In order to get the right balance of ingredients for their tastes they bought 4 pounds of raisins at $\$ 4.71$ per pound, 3 pounds peanuts for $\$ 3.45$ per pound, and 2 pounds of chocolate chips for $\$ 2.16$ per pound. Determine the cost per pound of the trail mix.
The cost per pound of the trail mix is $\$$ $\square$ (Round to the nearest cent as needed.)

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Problem 168

How much money does an employee working for a salary of $\$ 52,000$ per year get paid monthly? \$[?]

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Problem 169

How much money does an employee working for a salary of $\$ 64,000$ per year get paid every two weeks?

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Problem 170

How much money does an employee working for a salary of $\$ 37,000$ per year get paid every two weeks?

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Problem 171

What value of $x$ makes this equation true? $-90=-100+x$ $-10$ 10 $-190$ 190

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Problem 172

Calculate the commission that a sales person would earn if they received $5 \%$ commission on a $\$ 3,000$ painting that they sold.

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Problem 173

Hans is putting money into a savings account. He starts with $\$ 750$ in the savings account, and each week he adds $\$ 30$ . Let $S$ represent the total amount of money in the savings account (In dollars), and let $W$ represent the number of weeks Hans has been adding money. Write an equation relating $S$ to $W$ . Then use this equation to find the total amount of money in the savings account after 18 weeks.
Equation: $\square$ $\square$ Total amount of money after 18 weeks: $\$ \square$

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Problem 174

A construction crew is lengthening a road. The road started with a length of 53 miles, and the crew is adding 4 miles to the road each day. Let $L$ represent the total length of the road (in miles), and let $D$ represent the number of days the crew has worked. Write an equation relating $L$ to $D$ . Then use this equation to find the total length of the road after the crew has worked 33 days.
Equation: $\square$
Total length of the road after 33 days: $\square$ miles

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Problem 175

13 How is the number five thousand and eighty-five hundredths written in decimal form? Select from the following options. (A) $5,000.0085$ (B) 500.00085 (c) $5,000.085$ (D) $5,000.85$

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Problem 176

What is the balance after 2 years in a savings account with an initial investment of $\$ 1,250$ and a 5\% annual compound interest rate?

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Problem 177

What is the employee's yearly contribution to the U.S. Social Security tax on a salary of $\$ 112,000$ ? \begin{tabular}{|l|c|c|} \hline \multicolumn{3}{|c|}{ FICA Taxes } \\ \hline & Social Security & Medicare \\ \hline \multicolumn{1}{|c|}{ Total Due: } & $12.40 \%$ & $\mathbf{2 . 9 0 \%}$ \\ \hline \begin{tabular}{l} Employer's \\ Responsibility \end{tabular} & $6.20 \%$ & $1.45 \%$ \\ \hline \begin{tabular}{l} Employee's \\ Responsibility \end{tabular} & $6.20 \%$ & $1.45 \%$ \\ \hline \end{tabular}

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Problem 178

An employee in the $22 \%$ tax bracket invests $\$ 1500.00$ in a Roth IRA. When the employee retires, her salary is still in the $22 \%$ tax bracket. What tax will be assessed on the initial investment when the employee retires? A. $\$ 330.00$ B. Since the employee is using a Roth IRA, she will pay no taxes when she retires. C. Not enough information to answer D. $\$ 33.00$

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Problem 179

Health insurance coverage for an employee is $\$ 2,470$ per year. Their employer pays $80 \%$ of that cost. How much is taken from the employee's biweekly paycheck?

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Problem 180

ist Construct one table that includes relative frequencies based on the frequency distributions shown below, then compare the amounts of tar in nonfiltered and filtered cigarettes. Do the cigarette filters appear to be effective? (Hint: The filters reduce the amount of tar ingested by the smoker.)
Click the icon to view the frequency distributions.
Complete the following relative frequency table. (Round to the nearest percent as needed.) \begin{tabular}{ccc} Tar (mg) & \begin{tabular}{c} Relative \\ Frequency \\ (Nonfiltered) \end{tabular} & \begin{tabular}{c} Relative \\ Frequency \\ (Filtered) \end{tabular} \\ \hline $4-9$ & $\square \%$ & $\square \%$ \\ $10-15$ & $\square \%$ & $\square \%$ \\ $16-21$ & $\square \%$ & $\square \%$ \\ $22-27$ & $\square \%$ & $\square \%$ \\ $28-33$ & $\square \%$ & $\square \%$ \\ $34-39$ & $\square \%$ & $\square \%$ \\ $40-45$ & $\square \%$ & $\square \%$ \end{tabular}
Frequency bistributions \begin{tabular}{|c|c|c|c|c|} \hline & & & & \multirow[t]{9}{*}{ 만 } \\ \hline Tar (mg) in & & Tar (mg) in & & \\ \hline Nonfiltered & & Filtered & & \\ \hline Cigarettes & Frequency & Cigarettes & Frequency & \\ \hline $16-21$ & 1 & 4 -9 & 3 & \\ \hline $22-27$ & 0 & $10-15$ & 3 & \\ \hline $28-33$ & 16 & 16-21 & 7 & \\ \hline 34-39 & 7 & 22-27 & 12 & \\ \hline $40-45$ & 1 & & & \\ \hline \end{tabular}
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Problem 181

How much interest is earned on a CD with a 2 year fixed maturity, if the initial investment is $\$ 790$ and the annual interest rate is $2.4 \%$ ? $\text { Interest = } \$[?]$

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Problem 182

In Exercises 32-33, find the exact distance between the two points.
32. $G(-1,-5)$ and $H(3,-8) \quad G H=$ $\qquad$
33. $G(2,5)$ and $H(4,-1) G H=$ $\qquad$
Use the information to find the midpoint between points $A$ and $B$ . In a three-dimensional coordinate system, the midpoint between $A\left(x_{1}, y_{1}, z_{1}\right)$ and $B\left(x_{2}, y_{2}, z_{2}\right)$ is $\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}, \frac{z_{1}+z_{2}}{2}\right)$ .
34. $A(-3,0,4)$ $B(7,2,8)$
Use the information to find the distance between points $A$ and $B$ . Leave answers in simplified radical form. In a threedimensional coordinate system, the distance between the two points $A\left(x_{1}, y_{1}, z_{1}\right)$ and $B\left(x_{2}, y_{2}, z_{2}\right)$ is $A B=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}+\left(z_{2}-z_{1}\right)^{2}}$
35. $A(-2,1,2)$ $B(2,-3,4)$

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Problem 183

Build Understanding When you measure the heights of your classmates, you are collecting data.
Connect to Vocabulary Data is a set of "What are the heights of my classmates?" is a statistical information collected about people or things. often to draw conclusions about them. question, because height usually varies within a group of people. The data set will have multiple values, such as 54 inches, 48 inches, 51 inches, and so on. Statistical questions require 'multiple measurements in order to describe data sets, that can A statistical question is a question that has many different, or variable answers. be both numeric and non-numeric quantities. "What is Zoya's height?" is not a statistical question because it asks for only one piece of information. The data set will only have a single value, such as 54 inches. 1 Read the question shown. "How many hours do sixth-grade students typically spend on homework each week?" A. Could this question yield a variety of different answers? Explain.

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Problem 184

Worksheet TWO
1. Given: $\triangle A B C$ right angle at $C A B=2, A C=\sqrt{3}$ , then find the basic trigonometric value for angle $\beta$ .
2. Given : $\sin 30^{\circ}=\frac{1}{2}, \cos 30^{\circ}=\frac{\sqrt{3}}{2}$ , Find the remaining trigonometric values of $30^{\circ}$ by using these values. 3. $\text { For i. } \theta=20^{\circ}$ ii. $\theta=30^{\circ}$ Find $\cos ^{2} \theta+\sin ^{2} \theta$
4. Given : $\delta=60^{\circ}$ , then show that $1+\tan ^{2} \delta=\sec ^{2} \delta$
5. If $\theta=0.1^{0}$ , then show that $\cos ^{2} 0.1^{0}=\csc ^{2} 0.1^{0}-1$
6. If the trigonometric point $P(\theta)$ has coordinate $(4,3)$ , then find the basic trigonometric for $\theta$ .
7. Given : $\cos \theta=\frac{-3}{5}$ for $\theta$ a $2^{\text {nd }}$ quadrant angle, find the remaining basic trigonometri ratios.
8. Express the remaining trigonometric ratios interims of $\sin \theta$ for a given angle $\theta$ . 10. In $\triangle A B C, m(<A)=120^{\circ}, A B=4, A C=2$ units, then find i. BC ii. cosine of angle B
11. Find the exact values of each of the following using the half angle formula and $c C$ the result obtained by using the angle sum formula. a. $\cos 15^{\circ}$ b. $\sin 15^{\circ}$ c. $\tan 15^{\circ}$ d. $\tan 22.5^{\circ}$

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Problem 185

Points: 0.5 of 1 Save The population of a certain country was approximately 25 million in 1900,150 million in 1950, and 300 million in 2000 . Construct a model for this data by finding a quadratic equation whose graph passes through the points $(0,25),(50,150)$ , and $(100,300)$ . Use this model to estimate the population in 2050.
Let $x$ be the number of years since 1900 and $y$ be the population in millions. Determine a quadratic equation whose graph passes through the points $(0,25),(50,150)$ , and $(100,300)$ $\square$ (Use integers or decimals for any numbers in the expression.)

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Problem 186

A chemical manufacturer wants to lease a fleet of 26 railroad tank cars with a combined carrying capacity of 392,000 gallons. Tank cars with three different carrying capacities are available: 7,000 gallons, 14,000 gallons, and 28,000 gallons. Letting $t=$ number of 28,000 railroad tank cars in the fleet, $2 t-47,000$ -gallon railroad tank cars, and $-3 \mathrm{t}+30$ 14,000 gallon railroad tank cars will be in the fleet for a certain range of $t$ . The cost of leasing a 7,000 -gallon tank car is $\$ 550$ per month, a 14,000 -gallon tank car is $\$ 750$ per month and a 28,000 -gallon tank car is $\$ 1350$ per month. Which of the solutions to the number of each type of tank car in the fleet would minimize the monthly leasing cost? $\square$ $\square$ 7,000-gallon tank cars, 14,000-gallon tank cars, and $\square$ 28,000-gallon tank cars. (Simplify your answers. Type whole numbers.)

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Problem 187

Estimate each product. Then find the exact product
1. A gallon of water at room temperature weighs about 8.35 pounds. Lena puts 4.5 gallons in a bucket. How much does the water weigh?

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Problem 188

Blaine exchanges $\$ 100$ for yen before going to Japan. If each U.S. dollar is worth 88.353 yen, how many yen should Blaine receive?

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Problem 189

each question. Shawn's mobile home is 7.2 meters wide and 19.5 meters long. What is its area?

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Problem 190

Seven busloads each carrying 35 students arrived at the game, joining 23 students who were already there. Evaluate the expression $23+7 \times 35$ to find the total number of students at the game.

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Problem 191

Directions: fre you ready to clean kitthen tools and equipment? Belaw are procedares on how to wash dishess. Can you amarge thent in proper order? Write numbers 1-8 in the blank prowded. $\qquad$ STACK THE DSHES IN PROPER OGDER $\qquad$ FINSE OUT BRUSH AND SPONGE $\qquad$ WPE DOWN THE SINK $\qquad$ FILL THE SINK WITH WATER AND DETERGENT $\qquad$ PAEPARE $\qquad$ LAY YOUR DISHES ON THE RACK $\qquad$ 5CRAPE THE DASHES $\qquad$ WASH THE CISHES IN OADER CGLASSWARE SLVERWARE, CINNERWARE,UTENSILS

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Problem 192

A store is glving away a $\$ 10$ cospos to every 7 th person to enter the store and a 52 s coup to every teth pertan to enter ther there Whinh person will be the first to gert boith cosupoes?

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Problem 193

paCambridge CHAPTER 2. PERMITATIONS AND COMGHINATIONS
Four letters are selected from the 9 letiers in the word CROCODILE. Find the number of selections in which the number of Cs is not the same as the number of O s. [3] $\qquad$ $\qquad$ $\qquad$

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Problem 194

Activity 6 Directions: Find the solutions of each of the following quadratic equations by completing the square.
1. $x^{2}-2 x=3$
6. $4 x^{2}-32 x=-28$
2. $s^{2}+4 s-21=0$
7. $x^{2}-5 x-6=0$
3. $t^{2}+10 t+9=0$
8. $m^{2}+7 m-\frac{51}{4}=0$
4. $x^{2}+14 x=32$
9. $r^{2}+4 r=-1$
5. $r^{2}-10 r=-17$
10. $w^{2}+6 w-11=0$

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Problem 195

11. If $A$ and $B$ are sets and $A B$ , find the $A$ B A. $A-B$ C. B

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Problem 196

21. Find the coterminal of 60

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Problem 197

42. Arrange the following in order from the first step to the last in simplifying algebraic expressions. I. Do all exponents II. Do addition and subtraction (from left to right) III. Do all expressions in parenthesis IV. Do all multiplication and division (from left to right) A. IV, III, II, I C. I, II, III, IV B. III, I, IV, II D. II, III, IV, I

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Problem 198

What is the net (take-home) pay for an individual with expenses shown who has a gross income of $\$ 70,000$ ?
Tax Table \begin{tabular}{|l|r|} \hline \multicolumn{1}{|r|}{ Expenses } & Amount Taxed \\ \hline FICA & $\$ 5,300.00$ \\ \hline State Income Tax & $\$ 3,300.00$ \\ \hline Federal Income Tax & $\$ 8,600.00$ \\ \hline Medical Insurance & $\$ 1,000.00$ \\ \hline \end{tabular} $\$[?]$

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Problem 199

What number multiplied by itself will give the product $625 ?$

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Problem 200

What is the interest eamed after 1 year in a savings account with an initial investment of $\$ 4.600$ and a $4 \%$ simple interest rate?

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Word Problem

Problem 101

Find the missing terms in each geometric sequence below. Show your colutions. −3,…,−18,542.−2,…,116\begin{array}{l} -3, \ldots,-18,54 \\ 2 .-2, \ldots, \frac{1}{16} \end{array}−3,…,−18,542.−2,…,161​​

Problem 102

1.) Eine Parabel mit dem Scheitel S(2/12)S(2 / 12)S(2/12) schneidet die yyy-Achse in der Höhe y0=6y_{0}=6y0​=6. c) Bestimme die Funktionsgleichung in Scheitelpunktsform (SPF) und in allgemeiner Form (AF), d.h. f(x)=ax2+bx+cf(x)=a x^{2}+b x+cf(x)=ax2+bx+c

Problem 103

Problem 104

Problem 105

50 La somma di 200000€200000 €200000€ viene spartita tra Ugo e Alessio in modo che a Ugo tocchi il 65\% del totale. Quanto spetta ad Alessio? [70000€][70000 €][70000€]

Problem 106

Problem 107

4. En el △ABC\triangle A B C△ABC, rectángulo en C,CDC, C DC,CD altura. Si BC=5 cmB C=5 \mathrm{~cm}BC=5 cm y DB=4 cmD B=4 \mathrm{~cm}DB=4 cm, entonces AC=A C=AC=

Problem 108

Problem 109

Problem 110

c) Round the following number to the given significant figures 44.27453 i. 3 significant figures. ii. 4 significant figures

Problem 111

Problem 112

Question 2 of 10 Which algebraic expression is a product with a factor of 5 ? A. 5(y−6)5(y-6)5(y−6) B. 3y+13 y+13y+1 C. 5y−75 y-75y−7 D. −2y+5+3-2 y+5+3−2y+5+3

Problem 113

Kelly has \$25 in her purse and Dante has d dollars in his wallet.Which algebraic expression represents the total amount that Kelly and Dante hove? A. d-25 B. 25+d25+d25+d C. 25−d25-d25−d D. 25 d

Problem 114

at these numbers in order from greatest to least 4 −810-\frac{8}{10}−108​ 41104 \frac{1}{10}4101​

Problem 115

Problem 116

Problem 117

Problem 118

If a customer is going to leave their money in a bank account for a few years to earn interest, which type of account should they open? savings checking

Problem 119

What is the balance after 2 years in a savings account with an initial investment of $800\$ 800$800 and a 3.5\% annual compound interest rate?

Problem 120

21.12 is what percent of 82.5 ?

Problem 121

Suppose a charity recievet a danation of 22. it villion. If this represents 278 d of the charitys doarted funds, what is totol amom Rits denated funds?

Problem 122

The amount of water in the cooler www dropped by 37 cups during the day at a work site, ending at 15 cups. Write an equation to represent this situation. Then, solve the equation for www to determine the amount of water in the cooler at the beginning of the day.

Problem 123

How much interest is earned on a CD with a 2 year fixed maturity, if the initial investment is $810\$ 810$810 and the annual interest rate is 2.3%2.3 \%2.3% ?

Problem 124

If you borrow $700\$ 700$700 for 4 years at an annual interest rate of 8%8 \%8%, how much will you pay altogether?

Problem 125

If you borrow $300\$ 300$300 for 14 years at an annual interest rate of 4%4 \%4%, how much will you pay altogether?

Problem 126

If you borrow $900\$ 900$900 for 4 years at an annual interest rate of 5%5 \%5%, how much will you pay altogether?

Problem 127

If you borrow $400\$ 400$400 for 3 years at an annual interest rate of 4%4 \%4%, how much will you pay altogether?

Problem 128

If you borrow $500\$ 500$500 for 6 years at an annual interest rate of 7%7 \%7%, how much will you pay altogether? \$[?]

Problem 129

10. At what point on the parabola y=3x2+2xy=3 x^{2}+2 xy=3x2+2x is the tangent line parallel to the line y=10x−2y=10 x-2y=10x−2 ? [ 6 mark

Problem 130

2. Traveling at 65 miles/hour, how many minutes will it take to drive 125 miles to San Diego?Convert 50 years into seconds. Express your answer in scientific notation.Traveling at 65 miles/hour, how many feet can you travel in 22 minutes? ( 1 mile =5280=5280=5280 feet)

Problem 131

[îA, 7 m measured a house and made a scale drawing. In real life, the hall closet is 6 feet lang. It is 10 inches long in the drawing. What is the scale of the drawing? 5 inches: □\square□ feet

Problem 132

Problem 133

Problem 134

Problem 135

A local Barnes and Noble paid a $80.35\$ 80.35$80.35 net price for each hardbound atlas. The publisher offered a 15%15 \%15% trade discount. What was the publisher's list price?Note: Round your answer to the nearest cent.

Problem 136

15 shares of stock were purchased for $40\$ 40$40 per share with a $6\$ 6$6 commission. What is the total cost of this investment?Total Cost =$[?]=\$[?]=$[?]

Problem 137

10 shares of stock were purchased for \$25 per share with a \$6 commission. What is the total cost of this investment?Total Cost =$[?]=\$[?]=$[?]

Problem 138

Problem 139

Problem 140

Problem 141

Find the distance between the points ( -9 , 7) and (9,20)(9,20)(9,20). 493\sqrt{493}493​ 493 155\sqrt{155}155​ 155

Problem 142

1) On trangle rectangie a pourpérinêue som c. sot aire vaut 30 m230 \mathrm{~m}^{2}30 m2. Déterminer ses dimensions.

Problem 143

Problem 144

25 shares of stock were purchased for \$25 per share with a \$6 commission. What is the total cost of this investment?

Problem 145

Problem 146

An investor purchased 70 shares of stock in a company for $4.760\$ 4.760$4.760, with an $8\$ 8$8 commission. Later, all of the stock was sold at $71\$ 71$71 per share. What was the gain or loss on this investment?Gain or Loss =$[?]=\$[?]=$[?]Enter a gain as positive and a loss as negative.

Problem 147

4) What percentage of 126 is 504 ?

Problem 148

Find the probability that a vowel will match when choosing one letter from the word "Probability".

Find the missing terms in each geometric sequence below. Show your colutions. $\begin{array}{l} -3, \ldots,-18,54 \\ 2 .-2, \ldots, \frac{1}{16} \end{array}$

1.) Eine Parabel mit dem Scheitel $S(2 / 12)$ schneidet die $y$ -Achse in der Höhe $y_{0}=6$ . c) Bestimme die Funktionsgleichung in Scheitelpunktsform (SPF) und in allgemeiner Form (AF), d.h. $f(x)=a x^{2}+b x+c$

50 La somma di $200000 €$ viene spartita tra Ugo e Alessio in modo che a Ugo tocchi il 65\% del totale. Quanto spetta ad Alessio? $[70000 €]$

4. En el $\triangle A B C$ , rectángulo en $C, C D$ altura. Si $B C=5 \mathrm{~cm}$ y $D B=4 \mathrm{~cm}$ , entonces $A C=$

Question 2 of 10 Which algebraic expression is a product with a factor of 5 ? A. $5(y-6)$ B. $3 y+1$ C. $5 y-7$ D. $-2 y+5+3$

Kelly has \$25 in her purse and Dante has d dollars in his wallet.
Which algebraic expression represents the total amount that Kelly and Dante hove? A. d-25 B. $25+d$ C. $25-d$ D. 25 d

at these numbers in order from greatest to least 4 $-\frac{8}{10}$ $4 \frac{1}{10}$

What is the balance after 2 years in a savings account with an initial investment of $\$ 800$ and a 3.5\% annual compound interest rate?

The amount of water in the cooler $w$ dropped by 37 cups during the day at a work site, ending at 15 cups. Write an equation to represent this situation. Then, solve the equation for $w$ to determine the amount of water in the cooler at the beginning of the day.

How much interest is earned on a CD with a 2 year fixed maturity, if the initial investment is $\$ 810$ and the annual interest rate is $2.3 \%$ ?

If you borrow $\$ 700$ for 4 years at an annual interest rate of $8 \%$ , how much will you pay altogether?

If you borrow $\$ 300$ for 14 years at an annual interest rate of $4 \%$ , how much will you pay altogether?

If you borrow $\$ 900$ for 4 years at an annual interest rate of $5 \%$ , how much will you pay altogether?

If you borrow $\$ 400$ for 3 years at an annual interest rate of $4 \%$ , how much will you pay altogether?

If you borrow $\$ 500$ for 6 years at an annual interest rate of $7 \%$ , how much will you pay altogether? \$[?]

10. At what point on the parabola $y=3 x^{2}+2 x$ is the tangent line parallel to the line $y=10 x-2$ ? [ 6 mark

2. Traveling at 65 miles/hour, how many minutes will it take to drive 125 miles to San Diego?
Convert 50 years into seconds. Express your answer in scientific notation.
Traveling at 65 miles/hour, how many feet can you travel in 22 minutes? ( 1 mile $=5280$ feet)

[îA, 7 m measured a house and made a scale drawing. In real life, the hall closet is 6 feet lang. It is 10 inches long in the drawing. What is the scale of the drawing? 5 inches: $\square$ feet

A local Barnes and Noble paid a $\$ 80.35$ net price for each hardbound atlas. The publisher offered a $15 \%$ trade discount. What was the publisher's list price?
Note: Round your answer to the nearest cent.

15 shares of stock were purchased for $\$ 40$ per share with a $\$ 6$ commission. What is the total cost of this investment?
Total Cost $=\$[?]$

10 shares of stock were purchased for \$25 per share with a \$6 commission. What is the total cost of this investment?
Total Cost $=\$[?]$

Find the distance between the points ( -9 , 7) and $(9,20)$ . $\sqrt{493}$ 493 $\sqrt{155}$ 155

1) On trangle rectangie a pourpérinêue som c. sot aire vaut $30 \mathrm{~m}^{2}$ . Déterminer ses dimensions.

An investor purchased 70 shares of stock in a company for $\$ 4.760$ , with an $\$ 8$ commission. Later, all of the stock was sold at $\$ 71$ per share. What was the gain or loss on this investment?
Gain or Loss $=\$[?]$
Enter a gain as positive and a loss as negative.

What is the monthly interest payment for an account with a balance of $\$ 100.00$ and an A.P.R. of $12 \%$ ?

What is the total payment required to pay off a promissory note issued for $\$ 400.00$ at $6 \%$ ordinary interest and a 90-day term?

What is the balance after 3 years in a savings account with an initial investment of $\$ 700$ and a $4.6 \%$ annual compound interest rate?

What is the interest earned after 1 year in a savings account with an initial investment of $\$ 1,550$ and a $4.2 \%$ simple interest rate?

What is the monthly interest payment for an account with a balance of $\$ 400.00$ and an A.P.R. of $27 \%$ ?

What is the monthly interest payment for an account with a balance of $\$ 100.00$ and an A.P.R. of $18 \%$ ? $\$[?]$

9) Хэвлыийн чехийн ажиттан минутанд $1 \frac{1}{5}$ хуудас уддэг байв. Тэгвэл 60 хуудастай номын хэдэн минутанд үлдэх вэ?

How much money is needed to make a $6.5 \%$ down payment on a $\$ 500,000$ asset?

Distanța București-Arad este de 560 km . Distanța pe hartă este de $5,6 \mathrm{~cm}$ . a) Determinați scara hărții. $S=\frac{\text { distanța din desen }}{\text { distanța din teren }}=$

epression of a point 100 mts from the foot of the tree is $60^{\circ}$ . Find the height of the tree.

How much money does an employee working for a salary of $\$ 52,000$ per year get paid monthly? \$[?]

How much money does an employee working for a salary of $\$ 64,000$ per year get paid every two weeks?

How much money does an employee working for a salary of $\$ 37,000$ per year get paid every two weeks?

What value of $x$ makes this equation true? $-90=-100+x$ $-10$ 10 $-190$ 190

Calculate the commission that a sales person would earn if they received $5 \%$ commission on a $\$ 3,000$ painting that they sold.