# AMU MATH 125 final exam American Military University

## AMU MATH 125 final exam Question 1

The length of a garden is double its width. There is a fence around the perimeter that measures 228 ft. What are the length and width of the garden?

A.length = 80 ft, width = 40 ft

B.length = 76 ft, width = 38 ft

C.length = 38 ft, width = 76 ft

D.length = 40 ft, width = 80 ft

## AMU MATH 125 final exam Question 2

Let U = [5, 10, 15, 20, 25, 30, 35, 40] A = [5, 10, 15, 20] B = [25, 30, 35, 40] C = [10, 20, 30, 40]. Find B U C.

A.B U C = [5,10, 15, 20, 25]

B.B U C = [10, 20, 30, 40]

C.B U C = [35, 40]

D.B U C = [10, 20, 25, 30, 35, 40]

## AMU MATH 125 final exam Question 3

The table shows the students from Genius High School with the four highest GPAs from 2005 to 2007. Write the region(s) of the Venn diagram that would include Francois. (Note set X represents 2005 top-ranked students, set Y represents 2006 top-ranked students, and set Z represents 2007 top-ranked students).

A.Region VI

B.Region III

C.Region II

D.Region V

## AMU MATH 125 final exam Question 4

A person sold their house for \$200,000 and made a profit of 37 percent. How much did they pay for their home?

A.\$180,200.96

B.\$74,000.00

C.\$145,985.40

D.\$274,000.79

## AMU MATH 125 final exam Question 5

Gail is trying to stay between 475 calories and 675 calories for lunch. She selects a sandwich for 400 calories and a salad for 65 calories. How many calories can she have for dessert?

A.Between 100 and 210 calories

B.Between 100 and 250 calories

C.Between 10 and 250 calories

D.Between 10 and 210 calories

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## AMU MATH 125 final exam Question 6

Adult tickets for a play cost \$9 and child tickets cost \$4. If there were 27 people at a performance and the theatre collected \$143 from ticket sales, how many adults attended the play?

## AMU MATH 125 final exam Question 7

Graph the linear function: f(x) = -3x + 6

A.

B.

C.

D.

## AMU MATH 125 final exam Question 8

The total real estate commission for a real estate company was \$60 million in 2008, an increase of \$25 million over the year 2004. What was the percent increase? Round answer to the nearest tenth of a percent.

A.58.3 percent

B.28.6 percent

C.41.7 percent

D.71.4 percent

## AMU MATH 125 final exam Question 9

Dr. Sand borrowed some money to buy new furniture for her office. She paid \$316.55 simple interest on a 4.5-year loan at 8.5 percent. Find the principal.

A.\$827.58

B.\$1,424.48

C.\$121.08

D.\$1,000.00

## AMU MATH 125 final exam Question 10

In order to help pay for college, the grandparents of a child invest \$2,500 in a bond that pays 8 percent interest compounded quarterly. How much money will there be in 4 years?

A.\$3,521.72

B.\$3,401.60

C.\$3,431.96

D.\$3,542.10

## AMU MATH 125 final exam Question 11

Katie had an unpaid balance of \$3,155.15 on her credit card statement at the beginning of October. She made a payment of \$215.00 during the month, and made purchases of \$412.01. If the interest rate on Katie’s credit card was 6.5 percent per month on the unpaid balance, find her finance charge and the new balance on November 1.

A.Finance charge = \$200.00; new balance = \$3,452.17

B.Finance charge = \$205.08; new balance = \$3,557.25

C.Finance charge = \$215.19; new balance = \$3,467.36

D.Finance charge = \$195.14; new balance = \$3,447.31

## AMU MATH 125 final exam Question 12

Use an English/Metric conversion for area given in the table to convert the following measurement to the specified measurement. Round to the nearest hundredth, if necessary.

1 in2 ≈ 6.45 cm2

1 ft2 ≈ 0.093 m2

1 yd2 ≈ 0.836 m2

1 mi2 ≈ 2.59 km2

1 acre ≈ 4,047 m2

10,427 in2 = _____ dm2

A.6,725,400 dm2

B.672.54 dm2

C.10.42 dm2

D.161,409.60 dm2

## AMU MATH 125 final exam Question 13

Convert the following Celsius temperature to an equivalent Fahrenheit temperature. –15 degrees C

A.7 degrees F

B.–17 degrees F

C.–7 degrees F

D.5 degrees F

## AMU MATH 125 final exam Question 14

Find the perimeter.

A.25 inches

B.48 inches

C.45 inches

D.35 inches

## AMU MATH 125 final exam Question 15

The triangles in the figure below are similar. Use the proportional property of similar triangles to find the measure of x.

A.34.2 km

B.29.2 km

C.19.2 km

D.12.0 km

Find the area.

A.150 sq mi

B.240 sq mi

C.300 sq mi

D.60 sq mi

## AMU MATH 125 final exam Question 17

Suppose the cone below has a radius of 7inches and a height of 10 inches. Find the volume of the cone. Round to two decimal places.

A.512.87 cu in

B.226.19 cu in

C.339.29 cu in

D.1,526.81 cu in

## AMU MATH 125 final exam Question 18

In a classroom, the students are 12 boys and 6 girls. If one student is selected at random, find the probability that the student is a girl.

A.2/9

B.1/2

C.2/3

D.1/3

## AMU MATH 125 final exam Question 19

To enter a contest, a person must select 6 numbers from 48 numbers. In order to win a prize one of the numbers must match. Find the probability of winning if a person buys one ticket. (Note: The numbers can be selected in any order and any one of the six winning numbers on the ticket is a win.)

A.0.00167

B.0.006

C.0.001

D.0.125

## AMU MATH 125 final exam Question 20

A single card is drawn from a deck. Find the probability of selecting a 6 or a heart.

A.4/13

B.7/52

C.17/52

D.9/26

## AMU MATH 125 final exam Question 21

Twenty marbles are used to spell a word—9 blue ones, 5 red ones, 3 yellow ones and 3 green ones. If two marbles are drawn from the set of twenty marbles at random in succession and without replacement, what is the probability (as a reduced fraction) of choosing a marble other than red each time?

A.9/16

B.21/38

C.5/33

D.3/4

## AMU MATH 125 final exam Question 22

Find the mean, median, mode, and midrange for the data provided. The data shows hours spent at work for a group of men.

A.mean: 57.575, median: 55, mode: no mode, midrange: 57

B.mean: 55, median: 57.575, mode: 55, midrange: 30.6

C.mean: 55, median: 57.575, mode: 57, midrange: 30.6

D.mean: 57.575, median: 57, mode: no mode, midrange: 57

## AMU MATH 125 final exam Question 23

Assume a data set is normally distributed with mean 191 and standard deviation 30. If the data set contains 450 data values, approximately how many of the data values will fall within the range 131 to 251?

A.429

B.409

C.241

D.393

AMU MATH 125 final exam Question 24

The average amount customers at a certain grocery store spend yearly is \$965.98. Assume the variable is normally distributed. If the standard deviation is \$93.27, find the probability that a randomly selected customer spends between \$938.00 and \$1129.20.

A.0.578 = 57.8 percent

B.0.330 = 33.0 percent

C.0.701 = 70.1 percent

D.0.342 = 34.2 percent

AMU MATH 125 final exam Question 25

In a class of 500 students, John’s rank was 70. Find his percentile rank.

A.26

B.13

C.86

D.90