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14 February, 17:47

Mr. Johnson borrowed $8000 for 4 years to make home improvements. If he repaid a total of $10,320, at what interest rate did he borrow the money?

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  1. 14 February, 21:25
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    7.25%

    Step-by-step explanation:

    Simple interest can be found using the following formula:

    I = prt, where I = the interest, p = principal amount, r = interest rate and t = time

    In this problem, you are solving for 'r', so you can plug in the other values and use inverse operations to find the rate.

    Since Mr. Johnson repaid $10,320 on an $8000 loan, his total interest paid was $10,320 - $8,000 = $2,320.

    2320 = 8000 (4) r

    2320 = 32000r

    Divide by 32000 on both sides: 2320/32000 = 32000r/32000

    r = 0.0725

    multiply by 100 for percentage: 0.0725 x 100 = 7.25%
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