Problema Solution

Lamar uses his credit card to purchase a new video game system for $375.19. He can pay off up to $175 per month. The card has an annual rate of 19.2% compounded monthly. How much total interest will he pay?

Answer provided by our tutors

Since the annual rate of 19.2% is compounded monthly, the monthly interest would be:

19.2/12= 1.6%


Therefore, at the end of the first month and after payment, the balance would be:

balance after payment=375.19(1.016)-175=$206.19304


After the second month and payment:

Balance after payment=206.19304(1.016)-175=$34.49212864


Finally the finally payment would be:

Final payment=34.49212864(1.016)=$35.044


The Total amount paid would be:

175+175+35.044=$384.044


Therefore, the total amount of interest paid would be:

384.044-375.19=$8.854