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23 April, 15:16

A company offering short term loans agrees to lend Nick $1,200. The amount (plus interest) is repayable in one year, and the interest rate is 12% per month. What is the total amount that must be repaid? Give your answer in dollars to the nearest dollar.

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  1. 23 April, 15:18
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    The total amount that must be repaid is $2,928.

    Step-by-step explanation:

    First, you need to know how much interest Nick will be paying every month.

    Provided that he borrowed $1,200 with a 12% interest rate, then, you can calculate the interest rate per month by multiplying these numbers.

    So, $1,200 * 12% (0.12) = $144 (interest per month)

    In order to get the total amount of interest in one year, you can multiply $144 with 12 (12 months).

    So, $144 per month * 12 months = $1,728 (the total amount of interest in 1 year)

    In order to get the total amount to be repaid, then you have to add the amount which Nick loaned ($1,200) plus the total amount of interest in 1 year.

    So, $1,200 + $1,728 = $2,928

    The total amount that Nick needs to repay is $2,928.
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