Question 1

Use the appropriate formula to solve the problem.
-Using the interest rate formula  , find A to the nearest percent when p = 12, f = $177, b = $1000, q = 24.
A) 17%
B) 18%
C) 15%
D) 16%

Accepted Answer

The answer of Use the appropriate formula to solve the...

Question 2

Use the appropriate formula to solve the problem.
-Find the corresponding Celsius temperature for a temperature of 129°F. Round to the nearest tenth, if necessary.
A) 264.2°C
B) 68.1°C
C) 174.6°C
D) 53.9°C

Accepted Answer

To convert Fahrenheit to Celsius, use the formula: C = (F - 32) × 5/9. For 129°F, C = (129 - 32) × 5/9 = 53.9°C.

Question 3

Solve the problem.
-On Monday, an investor bought 100 shares of stock. On Tuesday, the value of the shares went up 6%. How much did the investor pay for the 100 shares if he sold them Wednesday morning for $1378.00?
A) $1350.00
B) $1460.68
C) $1300.00
D) $1328.00

Accepted Answer

The investor sold the shares for $1378 after they increased by 6%. To find the original price, divide $1378 by 1.06 (100% + 6% = 106%, or 1.06 in decimal form). $1378 / 1.06 = $1300.00.

Question 4

Solve the problem.
-At the end of the day, a storekeeper had $1470 in the cash register, including both the sale of goods and the sales tax of 5%. What amount of sales tax had been collected?
A) $70
B) $65
C) $60
D) $75

Accepted Answer

The total amount in the cash register is the sum of the sales and the sales tax. If we let x be the amount of sales, then the sales tax is 5% of x, or 0.05x. The equation representing the total amount is x + 0.05x = 1470. Combining like terms gives 1.05x = 1470. Solving for x gives x = 1470 / 1.05 = 1400. The sales tax collected is 1470 - 1400 = $70.

Question 5

Use the appropriate formula to solve the problem.
-The perimeter of a rectangle is 38 m. If the width were doubled and the length were increased by 5 m, the perimeter would be 60 m. What are the length and width of the rectangle?
A) width 4 m, length 9 m
B) width 9 m, length 9 m
C) width 6 m, length 13 m
D) width 13 m, length 6 m

Accepted Answer

The width is 6 m and the length is 13 m.

Question 6

Use the appropriate formula to solve the problem.
-The length of a rectangular billboard is 7 inches more than the width. The perimeter of the billboard is 138 inches. Find the width of the billboard.
A) 7 in.
B) 38 in.
C) 34 in.
D) 31 in.

Accepted Answer

Let the width be x inches. Then the length is x + 7 inches. The perimeter is given by 2(width + length) = 138. So, 2(x + x + 7) = 138. Solving for x gives x = 31 inches.

Question 7

Solve the formula for the specified variable.
-R = nE - nr, for n
A) n = R + nr - E
B) 
C) n = R - E + r
D)

Accepted Answer

The answer of Solve the formula for the specified variable.
-R...

Question 8

Solve the problem.
-Walt made an extra $9000 last year from a part-time job. He invested part of the money at 9% and the rest at 6%. He made a total of $720 in interest. How much was invested at 6%?
A) $6000
B) $4500
C) $7000
D) $3000

Accepted Answer

The answer of Solve the problem.
-Walt made an extra $9000...

Question 9

Solve the problem.
-Stevie bought a stereo for $275 and put it on sale at his store at a 50% markup rate. What was the retail price of the stereo?
A) $550.00
B) $412.50
C) $312.50
D) $375.00

Accepted Answer

The retail price is calculated by adding the markup to the original price. A 50% markup on $275 is $137.50 ($275 * 0.50), so the retail price is $275 + $137.50 = $412.50.

Question 10

Solve the problem.
-A square plywood platform has a perimeter which is 6 times the length of a side, decreased by 6. Find the length of a side.
A) 5
B) 1
C) 3
D) 2

Accepted Answer

The perimeter of a square is 4 times the length of a side. Let the side length be x. The problem states that the perimeter is also 6x - 6. So, 4x = 6x - 6. Solving for x gives x = 3.

Question 11

Use the appropriate formula to solve the problem.
-The perimeter of a rectangle is 30 cm. One side is 9 cm longer than the other side. Find the lengths of the sides.
A) 6 cm, 15 cm
B) 8 cm, 17 cm
C) 3 cm, 12 cm
D) 3 cm, 9 cm

Accepted Answer

The answer of Use the appropriate formula to solve the...

Question 12

Solve the formula for the specified variable.
-a + b = s + r for s
A) 
B) 
C) s = r(a + b)
D) s = a + b - r

Accepted Answer

The answer of Solve the formula for the specified variable.
-a...

Question 13

Solve the formula for the specified variable.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Solve the formula for the specified variable.
-
A)...

Question 14

Solve the problem.
-Mardi received an inheritance of $60,000. She invested part at 10% and deposited the remainder in tax-free bonds at 8%. Her total annual income from the investments was $5800. Find the amount invested at 10%.
A) $54,200
B) $50,000
C) $25,000
D) $49,000

Accepted Answer

The answer of Solve the problem.
-Mardi received an inheritance of...

Question 15

Use the appropriate formula to solve the problem.
-Using the interest rate formula A  , find f to the nearest dollar when A = 11%, p = 12, b = $2900, q = 12.
A) $183
B) $170
C) $173
D) $195

Accepted Answer

The answer of Use the appropriate formula to solve the...

Question 16

Use the appropriate formula to solve the problem.
-Levi borrowed $3859 at 14% simple interest for 4 months. How much will the interest amount to? What is the total amount that Levi will have to pay back at the end of 4 months? Round answers to the nearest cent if
Necessary.
A) $135.07; $3994.07
B) $180.09; $4039.09
C) $225.11; $4084.11
D) $181.60; $4040.60

Accepted Answer

The simple interest formula is I = PRT, where P is the principal ($3859), R is the rate (14% or 0.14), and T is the time in years (4/12). Calculating gives I = $180.09. The total amount is the principal plus interest, $3859 + $180.09 = $4039.09.

Question 17

Solve the formula for the specified variable.
-A = P(1 + nr) for r
A) 
B) 
C) 
D)

Accepted Answer

The answer of Solve the formula for the specified variable.
-A...

Question 18

Use the appropriate formula to solve the problem.
-The area of a trapezoid is 88 square feet. If the bases are 8 and 14 feet, find the height of the trapezoid. 
A) 1.5 ft
B) 16 ft
C) 8 ft
D) 4 ft

Accepted Answer

The answer of Use the appropriate formula to solve the...

Question 19

Use the appropriate formula to solve the problem.
-Find the corresponding Fahrenheit temperature for a temperature of 23°C. Round to the nearest tenth, if necessary.
A) -5°F
B) 73.4°F
C) 99°F
D) 30.6°F

Accepted Answer

To convert Celsius to Fahrenheit, use the formula $F = \frac{9}{5}C + 32$. Substituting 23 for $C$, we get $F = \frac{9}{5}(23) + 32 = 73.4°F$.

Question 20

Solve the problem.
-If Gloria received a 4% raise and is now making $23,920 a year, what was her salary before the raise?
A) $23,000
B) $24,000
C) $22,920
D) $21,920

Accepted Answer

Gloria's new salary is the result of a 4% raise, so her salary before the raise was 100% of her original salary. To find the original salary, divide her new salary by 1.04 (100% + 4% = 104%, or 1.04 in decimal form). $23,920 / 1.04 = $23,000.

Quiz 1: Equations, Inequalities, and Modeling

Use the appropriate formula to solve the problem. -Using the interest rate formula , find A to the nearest percent when p = 12, f = $177, b = $1000, q = 24.

Use the appropriate formula to solve the problem. -Find the corresponding Celsius temperature for a temperature of 129°F. Round to the nearest tenth, if necessary.

Solve the problem. -On Monday, an investor bought 100 shares of stock. On Tuesday, the value of the shares went up 6%. How much did the investor pay for the 100 shares if he sold them Wednesday morning for $1378.00?

Solve the problem. -At the end of the day, a storekeeper had $1470 in the cash register, including both the sale of goods and the sales tax of 5%. What amount of sales tax had been collected?

Use the appropriate formula to solve the problem. -The perimeter of a rectangle is 38 m. If the width were doubled and the length were increased by 5 m, the perimeter would be 60 m. What are the length and width of the rectangle?

Use the appropriate formula to solve the problem. -The length of a rectangular billboard is 7 inches more than the width. The perimeter of the billboard is 138 inches. Find the width of the billboard.

Solve the formula for the specified variable. -R = nE - nr, for n

Solve the problem. -Walt made an extra $9000 last year from a part-time job. He invested part of the money at 9% and the rest at 6%. He made a total of $720 in interest. How much was invested at 6%?

Solve the problem. -Stevie bought a stereo for $275 and put it on sale at his store at a 50% markup rate. What was the retail price of the stereo?

Solve the problem. -A square plywood platform has a perimeter which is 6 times the length of a side, decreased by 6. Find the length of a side.

Use the appropriate formula to solve the problem. -The perimeter of a rectangle is 30 cm. One side is 9 cm longer than the other side. Find the lengths of the sides.

Solve the formula for the specified variable. -a + b = s + r for s

Solve the formula for the specified variable. -

Solve the problem. -Mardi received an inheritance of $60,000. She invested part at 10% and deposited the remainder in tax-free bonds at 8%. Her total annual income from the investments was $5800. Find the amount invested at 10%.

Use the appropriate formula to solve the problem. -Using the interest rate formula A , find f to the nearest dollar when A = 11%, p = 12, b = $2900, q = 12.

Use the appropriate formula to solve the problem. -Levi borrowed $3859 at 14% simple interest for 4 months. How much will the interest amount to? What is the total amount that Levi will have to pay back at the end of 4 months? Round answers to the nearest cent if Necessary.

Solve the formula for the specified variable. -A = P(1 + nr) for r

Use the appropriate formula to solve the problem. -The area of a trapezoid is 88 square feet. If the bases are 8 and 14 feet, find the height of the trapezoid.

Use the appropriate formula to solve the problem. -Find the corresponding Fahrenheit temperature for a temperature of 23°C. Round to the nearest tenth, if necessary.

Solve the problem. -If Gloria received a 4% raise and is now making $23,920 a year, what was her salary before the raise?