Chapter 2 Review
Interest, savings plans, loan payments and income tax mixed together, so each question starts with deciding which formula the situation calls for.
15 exercises
Exercise 1
If you deposit $1,525 in an account at 5.6% APR for fourteen years, how much will you have in the account and how much interest did you earn after 14 years if:
The interest is compounded using simple interest.
The interest is compounded quarterly.
The interest is compounded weekly.
The interest is compounded continuously.
Exercise 2
Alicia takes out a $2,300 loan that charges 15% APR simple interest. How much will she pay if she has the loan for 3 years? How much interest did she pay?
Exercise 3
Devon invests $25,000 into an account for 15 years. He earns 6.5% interest compounded quarterly. What is the future value and how much interest did he earn?
Exercise 4
The current inflation rate is 2.92%. If this continues for the next 10 years find the cost of the following items in the year 2029. Note: Inflation is Continuous Compound Interest.
Gas Average: $3.49
Dozen Eggs: $1.99
Bread: $3.29
Basic Monthly Cell Phone bill: $79.99
Average cost of downloading a song: $1.99
Exercise 5
You are purchasing new furniture that costs $3500. You are required to make a down payment of $350. The loan will be a simple interest at 13% APR and the length of the loan will be 28 months. What is your monthly payment and how much did you pay back?
Exercise 6
Tom has misplaced the sales contract for his car and cannot remember the amount he originally financed. He does know that the interest rate was 9.6% APR for 60 months and the simple interest loan required a total of 60 payments at $254.23. What is the amount of money that Tom borrowed?
Exercise 7
For each find the future value, the total amount deposited, and the interest earned.
Regular Deposit $350, Compounded Monthly, 6.5% APR for 25 years
Regular Deposit $500, Compounded Quarterly, 6.5% APR for 15 years
Regular Deposit $75, Compounded Weekly, 4.5% APR for 30 years
Exercise 8
For each house find the monthly payment for a 30 year loan and 5% APR. Find the amount of interest you pay on each loan.
House 1: John's Landing Townhouse: $299,900
House 2: Gresham 4 bedroom House: $389,900
Exercise 9
Find the net monthly cash flow (1 month = 4 weeks)
Exercise 10
Pat loves painting. With tax, the total spent is about $46 each month on supplies. Once a week (52 weeks per year) the art class cost Pat $15.75. How much is Pat spending on painting in a year?
Exercise 11
If you are in the 12% tax bracket and can take a $1,000 deduction, how much will your tax bill decrease by?
Exercise 12
If you are in the 12% tax bracket and can take a $1,000 credit, how much will your tax bill decrease by?
Exercise 13
Amir's made $43,000 in wages and $1000 in tips. He contributed $3,000 into his IRA account.
Find Amir's Gross Income.
Find Amir's Adjusted Gross Income (AGI).
Exercise 14
Amir has $9,540 he could take in itemized deductions. The standard deduction for a single filer is $14,600 for the 2024 tax year.
Find Amir's taxable income.
Use the 2024 tax table determine to determine how much Amir owes in taxes.
Exercise 15
Amir can take a $1200 education credit and has had $2500 withheld from his paychecks. Determine the amount Amir will owe or be refunded.
Adapted from Math in Society © 2018–2024 Portland Community College Math Instructors. Licensed under CC BY-SA 4.0. Source: Math in Society. Imported at revision 68ee43c.