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7 February, 17:18

what interest rate is needed to turn $2500 into $15,000 in 14 years if interest is compounded weekly?

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  1. 7 February, 17:43
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    0.6845% per week.

    Step-by-step explanation:

    Simple Interest Calculation A = P (1 + rt)

    Solving our equation:

    r = (1/730.5) ((15000/2500) - 1) = 0.00684463

    r = 0.00684463

    Converting r decimal to R a percentage

    R = 0.00684463 * 100 = 0.6845%/week

    Calculating the annual rate

    0.6845%/week * 52 weeks/year = 35.594%/year.

    The interest rate required to get a total amount, principal plus interest, of $15,000.00 from simple interest on a principal of $2,500.00 over 14.05 years (730.5 weeks) is 0.6845% per week.
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