Mathematics homework help. Math 0332 Final Exam

Name___________________________________

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the

question.

Use the 2016 FICA tax rates in the table below to solve the problem. Round your answer to the nearest dollar.

1) If you are not self-employed and earn $146,500, what are your FICA taxes? 1)

Solve the problem.

2) In how many ways can a committee of three men be formed from a group of 10 men? 2)

3) The table shows the number of employed and unemployed workers in the U.S., in thousan

Employed Unemployed

Male 67,761 2433

Female 58,655 2285

Assume that one person will be randomly selected from the group described in the table.

Find the probability of selecting a person who is an employed female rounded to the

nearest hundredth.

3)

1

4) Jeans with an original price of $40 are on sale at 20% off. What is the sale price of the

jeans? (Round to the nearest cent, if necessary.)

4)

5) The cost of a home is financed with a $120,000, 30-year fixed-rate mortgage at 7%. The

buyer will make 360 payments of $798.00. Prepare a loan amortization schedule for the

first three months of the mortgage. Round to the nearest cent.

Payment

Number

Interest

Payment

Principal

Payment

Balance

of Loan

1

2

3

5)

6) If you placed $1 into an account that paid interest at a rate of 6% and compounded the

interest monthly, how much would that account be worth in 300 years?

6)

7) Lonnie needs extra money to buy a truck to start up a delivery service. He takes out a

simple interest loan for $4000.00 for 6 months at a rate of 7.25% . How much interest

must he pay, and what is the future value of the loan?

7)

2

Use PMT =

P r

n

1 – 1 + r

n

-nt . Round to the nearest dollar.

8) Suppose that you borrow $10,000 for four years at 8% toward the purchase of a car. Find

the monthly payments and the total interest for the loan.

8)

Use set notation to identify the shaded region.

9) 9)

Use a truth table to determine whether the symbolic form of the argument is valid or invalid.

10) p ∨ q

q

∴ p

10)

3

Calculate the number of subsets and the number of proper subsets for the set.

11) {x | x is a month of the year} 11)

Find the standard deviation for the group of data items (to the nearest hundredth).

12) 1, 1, 1, 4, 7, 7, 7 12)

Express the set using the roster method.

13) {x | x ∈ N and x lies between 5 and 9} 13)

Suppose that prices of a certain model of new homes are normally distributed with a mean of $150,000. Use the

68-95-99.7 rule to find the percentage of buyers who paid:

14) between $148,100 and $151,900 if the standard deviation is $1900. 14)

15) In a contest in which 7 contestants are entered, in how many ways can the 4 distinct

prizes be awarded?

15)

Write the negation of the quantified statement. (The negation should begin with ʺall,ʺ ʺsome,ʺ or ʺno.ʺ)

16) All athletes are famous. 16)

A set of data items is normally distributed with a mean of 60. Convert the data item to a z -score, if the standard

deviation is as given.

17) data item: 66; standard deviation: 4 17)

4

Let U = {q, r, s, t, u, v, w, x, y, z}

A = {q, s, u, w, y}

B = {q, s, y, z}

C = {v, w, x, y, z}. List the elements in the set.

18) Cʹ ∪ Aʹ 18)

Find the gross income, the adjusted gross income, and the taxable income.

19) A taxpayer earned wages of $64,500, received $880 in interest from a savings account,

and contributed $2600 to a tax-deferred retirement plan. He was entitled to a personal

exemption of $4050 and had deductions totaling $6350.

19)

Construct a truth table for the statement.

20) (q → p) ∧ ~ q 20)

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