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11 May, 08:52

If you deposit money today in an account that pays 15% annual interest, how long will it take to double your money? Round your answer to two decimal places.

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  1. 11 May, 11:39
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    It will take 4.96 year or 5 year to double the investment @ 15% interest rate.

    Explanation:

    Suppose you invest = P = $1

    Double Investment = $2

    Interest rate = r = 15%

    Us following formula to calulate the number of year to make the investment double

    A = P x (1 + r) ^n

    $2 = $1 (1 + 0.15) ^n

    $2 / $1 = (1.15) ^n

    $2 = 1.15^n

    log 2 = n log 1.15

    n = log 2 / log 1.15

    n = 4.96 years

    It will take 4.96 year or 5 year to double the investment @ 15% interest rate.
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