Mathematics of Personal Finance Practice Assignment: Purchasing and Credit
1. Clare lives in Iowa and pays 6% in sales tax. She just bought $135 in groceries, but $40 worth of those groceries were not taxable. What is the total amount that Clare paid for the groceries, including sales tax?
2. The fact that lower-income families will spend a higher percentage of their income on taxable items than higher-income families means that sales tax is what type of tax?
3. Tina decided to get a new cell phone. The price advertisement is displayed below.
Regular Price = $449.99
Instant savings = -$150.00
Mail-in rebate = -$100.00
New price = $199.99
If the sales tax is 8.25%, how much does Tina have to pay for the phone at the store, before she sends in her mail-in rebate form?
4. Jaylen decided to buy a new digital camera that retails for $119. If the store is currently running a promotion on all cameras for 25% off, and the sales tax in her state is 6%, what is Jaylen's total at checkout?
5. Name the 4Ps of marketing.
6. According to a dairy company's advertising campaign, 7 out of 8 people prefer the company's ice cream to any other brand. If this is true, how many out of 402 people prefer the company's ice cream to any other brand?
7. A credit card had an APR of 18.78% all of last year and compounded interest daily. What was the credit card's effective interest rate last year?
8. The minimum monthly payment for Jesse's credit card is 3.5% of his balance or $25, whichever is higher. If Jesse's balance at the end of his last billing cycle was $825, what is his minimum monthly payment?
9. A credit card has an APR of 32.47%, and its billing cycle is 30 days long. What is the credit card's periodic interest rate?
10. The opening balance of one of Jennie's 30-day billing cycles for her credit card was $1220, and it remained that amount for the first 10 days of her billing cycle. She then made a purchase for $470, increasing her balance to $1690, where it remained for the next 10 days. Jennie then made a payment of $350, so her balance for the last 10 days of the billing cycle was $1340. The APR of Jennie's credit card is 33%. What is her periodic interest rate?
11. If Jennie's credit card uses the average daily balance method, how much was Jennie charged in interest for the billing cycle?
12. Elly's credit card record for the last 7 months is below. Based on the information from the table, what will be her new balance at the end of month 7?
|
End of Month
|
Previous Balance
|
New Charges
|
Payment Received
|
Finance Charges
|
Principal Paid
|
New Balance
|
|
1
|
$0.00
|
$2200.00
|
$0.00
|
$0.00
|
$0.00
|
$2200.00
|
|
2
|
$2200.00
|
$0.00
|
$44.00
|
$33.00
|
$11.00
|
$2189.00
|
|
3
|
$2189.00
|
$0.00
|
$43.78
|
$32.84
|
$10.95
|
$2178.06
|
|
4
|
$2178.06
|
$0.00
|
$43.56
|
$32.67
|
$10.89
|
$2769.16
|
|
5
|
$2167.16
|
$0.00
|
$43.34
|
$32.51
|
$10.84
|
$2156.33
|
|
6
|
$2156.33
|
$0.00
|
$43.13
|
$32.34
|
$10.78
|
$2145.55
|
|
7
|
$2145.55
|
$0.00
|
$42.91
|
$32.18
|
$10.73
|
$?
|
13. Patrick's credit card has an APR of 17%, calculated on the previous monthly balance, and a minimum payment of 2%, starting the month after the first purchase. His credit card record for the last 7 months is shown in the table below.
|
End of Month
|
Previous Balance
|
New Charges
|
Payment Received
|
Finance Charges
|
Principal Paid
|
New Balance
|
|
1
|
$0.00
|
$4400.00
|
$0.00
|
$0.00
|
$0.00
|
$4400.00
|
|
2
|
$4400.00
|
$0.00
|
$88.00
|
$62.33
|
$25.67
|
$4374.33
|
|
3
|
$4374.33
|
$0.00
|
$87.49
|
$61.97
|
$25.52
|
$4348.82
|
|
4
|
$4348.82
|
$0.00
|
$86.98
|
$61.61
|
$25.37
|
$4323.45
|
|
5
|
$4323.45
|
$0.00
|
$86.47
|
$61.25
|
$25.22
|
$4298.23
|
|
6
|
$4298.23
|
$0.00
|
$86.96
|
$60.89
|
$25.07
|
$4273.16
|
|
7
|
$4273.16
|
$0.00
|
$85.46
|
$60.54
|
$24.93
|
$4248.23
|
How much of the $4400 charge that Patrick made in the first month has been paid off?
14. Olive transferred a balance of $2600 to a new credit card at the beginning of the year. The card offered an introductory APR of 4.3% for the first 5 months and a standard APR of 13.7% thereafter. If the card compounds interest monthly, what is Olive's balance at the end of the year? (Assume that Olive will make no payments or new purchases during the year, and ignore any possible late payment fees.)
15. Travis just got a new credit card that offers an introductory APR of 3.6% for the first 3 months and a standard APR of 14.4% thereafter. If interest is compounded monthly, what is the periodic interest rate during the first 3 months?
16. Joanna's personal information is shown below:
|
Age
|
62
|
|
Time at address
|
14 years
|
|
Age of auto
|
4 years
|
|
Car payment
|
$250
|
|
Housing costs
|
Owns Clear
|
|
Checking and saving accounts
|
Both
|
|
Finance company reference
|
Yes
|
|
Major credit cards
|
1
|
|
Ratio of debt to income
|
3%
|
|
Declared bankruptcy
|
Over 10 years ago
|
According to the following table, what is her credit score?
17. The most Lastri can afford to pay per year in mortgage payments is $13,900, and her credit score is 498. According to the following table for a $150,000 mortgage, by how many points would she need to improve this credit score in order to take a mortgage for $150,000?
|
FICO Score
|
Interest Rate
|
Monthly payment
|
|
720-850
|
5.59%
|
$860
|
|
700-719
|
5.71%
|
$872
|
|
675-699
|
6.25%
|
$924
|
|
620-674
|
7.40%
|
$1039
|
|
560-619
|
8.53%
|
$1157
|
|
500-559
|
9.29%
|
$1238
|
18. Last time Francis checked, her credit score was 659. Since then, she applied for a store credit card and bought a new car. What is her new credit score? Use the table below.
19. Using the flowchart below, determine if the following family qualifies for bankruptcy.
The Vanburens make $58,000 a year and live in Oklahoma, which has a median annual income of $47,778. If their monthly expenses amount to $4600 per month, do they qualify for Chapter 7 bankruptcy?
20. Michelle's annual take-home pay is $29,000. What is the maximum amount that she can spend per month paying off credit cards and loans and not be in danger of credit overload?