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24 November, 22:45

Caleb borrowed $1500 from his aunt. He plans to pay his aunt back in 9 months. If he

pays 4% interest on the loan, what is the total amount he will pay back in 9 months? explain how and show your work

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  1. 25 November, 01:49
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    A = $1,545.00

    (I = A - P = $45.00)

    Equation:

    A = P (1 + rt)

    Explanation:

    First, converting R percent to r a decimal

    r = R/100 = 4%/100 = 0.04 per year.

    Putting time into years for simplicity,

    9 months / 12 months/year = 0.75 years.

    Solving our equation:

    A = 1500 (1 + (0.04 * 0.75)) = 1545

    A = $1,545.00

    The total amount accrued, principal plus interest, from simple interest on a principal of $1,500.00 at a rate of 4% per year for 0.75 years (9 months) is $1,545.00.
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