MATH 105 Final Exam, Spring 2022•

There are 100 points available on the final and each problem is marked with its worth.

This exam is worth 12 points toward your final grade in the course. So, your score will

be converted to a number based on a max of 12 points. For example, if you score a

50%, you’ll earn 6 points toward your final grade (50% of 12 = 6). 75% = 9 points and

100% = 12 points, etc.

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The exam has 4 parts.

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The exam is available on the first day of week 8.

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You may take as long as you like on this exam, but you must complete and submit to

your LEO classroom assignment folder by 11:59 pm on the last day of class.

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The online text and the ALEKS lesson pages are a resource as you work on these

problems.

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Please submit your work in the LEO assignment folder as ONE single file

typed and saved as a single file and attached

OR neatly handwritten, scanned, and saved as a single

file and attached. Be sure that the pages are right side up

and in order

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You MUST show all of your work to receive any credit. If you have questions about

showing work, please ask. Your work must be shown in a very neat presentation that is

easily followed.

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The Final Exam is open book and open notes. You may refer to your textbook, notes,

and online classroom materials, but you may not consult with anyone in

person or online. You may not use any online service to solve any of the

problems.

The following statement must be signed and dated:

I have completed this Final Exam myself, working independently and not consulting with

anyone except the instructor nor with any online source except ALEKS. I have neither given nor

received help on this exam.

Name:

Date

Part 1. Be sure to clearly show all of your steps to each solution.

You are planning to purchase a house that will require some renovations.

1. (10 pts) You will have a $350,000 mortgage for 30 years at the rate of 2.39%. What will

your monthly payment be?

2. (10 pts) If you take the full term of the loan, how much interest will you have paid?

3. (10 pts) You decide to do some remodeling in the kitchen. Your parents agree to lend

you the money, but you insist on paying them interest. The agreement is that they will

lend you $6000.00 at a simple interest rate of 1.5% per year. In how many months will

the interest be $360.

4. (10 pts) If the $6000.00 was invested in a savings account that paid 2.5% interest

compounded monthly, how much interest would be earned after 3 years?

Part 2

A group of friends start a walking program. The chart below shows each member’s selfreported walking time in October 2021.

Person

YOU

B

C

D

E

F

G

H

I

K

Minutes Walking in October 2021

650

425

500

800

350

750

600

550

825

900

Answer the following questions based on this data. Be sure to show all of your work for each

question.

1. (8 pts) What was the mean walking time for the group in October 2021?

2. (8 pts) By what percent did YOU exceed or fall below the mean in October 2021?

Express your answer rounded to the nearest hundredth.

3. (8 pts) What was the median walking time in October 2021?

Part 3.

Here is data for a statistics class:

Final

Grade

A

B

C

D

F

Women

Men

4

7

5

1

0

5

6

3

2

1

Answer the following questions based on the above data for the math class. Be sure to show

all of your work.

1. (8 pts) If one person is randomly chosen to participate in a focus group, what is the

probability that the person will be a student who earned an A in the class?

2. (8 pts) A focus group of 3 students from this class is going to be randomly chosen. In how

many ways can the 3 students be chosen?

3. (8 pts) What is the probability that the random choice of 3 students will result in all

women being chosen?

Part 4

For this part, you will find it helpful to use a Venn diagram. You may submit a Venn diagram or

thoroughly explain how you reached each answer.

In a math 105 class of 30 students, a survey showed that 16 students used the ALEKS e-text at

least once, 9 used a video at least once, and 4 used both the e-text and a video at least once.

1. (6 pts) How many students used only the e-text?

2. (6 pts) How many students used neither the e-text nor the videos at least once?

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