Posted by **Danielle** on Monday, November 14, 2011 at 7:59am.

Tyler buys a stereo system for $1200, and pays for it using a credit card. This particular card charges 1.5 percent monthly interest on the unpaid balance, and requires a minimum payment of $20 each month. Suppose that Tyler pays only the minimum amount each month. How long will it take Tyler to pay off the debt in this way, and how much will the bank eventually receive for its $1200 loan to Tyler?

- math -
**Reiny**, Monday, November 14, 2011 at 9:36am
1200 = 20(1 - 1.015^-n)/.015

0.9 = 1-1.015^-n

1.015^-n = 0.1

log (1.015^-n) = log 0.1

-n = log 0.1 / log 1.015 = -154.65

n = appr 155 months

About 13 years !!!

Seems harsh, but that is reality.

Considering that the interest in the first month is $18, he pays back only about $2 a month for quite some time

e.g.

2nd month:

Balance = 1198.00

interest = 17.97

repayment = $2.03

3rd month:

Balance = 1198.97

interest = 17.94

repayment = $2.06

4th month:

Balance = 1193.91

interest = 17.91

repayment = $2.09

etc.

notice that the repayment increases only by about 3 cents per month for quite a while.

- math -
**Clara**, Monday, November 14, 2011 at 2:55pm
Thanks, how much money will the bank receive at the end of the 13 years?

## Answer this Question

## Related Questions

- Math - Tyler buys a stereo system for $1200, and pays for it using a credit card...
- consumer math - 1. Which of the following is an advantage of using credit cards...
- Computer science - Paying Off Credit Card Debt Each month, a credit card ...
- computer programming - Paying Off Credit Card Debt Each month, a credit card ...
- computer programming - Paying Off Credit Card Debt Each month, a credit card ...
- Interest - It’s time to go shopping! You grab your Best Purchase credit card, ...
- business math - . Jason’s credit card’s beginning unpaid balance for August is $...
- Computer Programming using python - Now write a program that calculates the ...
- Computer Programming using python - Now write a program that calculates the ...
- Math-Needing Help Quick! - When Beth finishes college, she has a balance or $...