SOLUTION: Hi, I am having trouble with this problem, I would appreciate it if you could help me with the question: A certain department store requires its credit card customer to pay intere

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Question 1065903: Hi, I am having trouble with this problem, I would appreciate it if you could help me with the question:
A certain department store requires its credit card customer to pay interest on unpaid bills at the rate of 18% per year compounded monthly. I f a customer buys a television set for $500 on credit and makes no payments for one year, how much is owed at the end of the year?

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
A percentage is a ratio,
and it can often be seen as a fraction, with 100 for denominator,
or as a decimal:
%2218%25%22=18%2F100=0.18 .
The monthly interest rate, as a decimal, would be
0.18%2F100=0.03
The interest each month would be
0.03%2Abalance .
If a month starts with a certain balance ,
at the end of the month, the balance will be
balance%2B0.03%2Abalance=%281%2B0.03%29balance=1.03%2Abalance .
Then, at the end of the next month,
that new balance would be multiplied times 1.03 again to get
1.03%2A%281.03%2Abalance%29=1.03%2A1.03%2Abalance=1.03%5E2%2Abalance .
After 3 months, the new balance would be 1.03%5E3%2Abalance , and so on.
Starting with $500 balance,
after 12 months the balance would be
.
(The exact result is 712.8804434230894722707525 ,
but I expect the store to round fairly to $712.88).