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5 June, 01:22

Manny has his money in a savings account earning 3 percent interest. How long will it take his money to double?

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  1. 5 June, 02:00
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    I will assume monthly compound interest.

    Then:

    yearly interest: 12%

    monthly interest = (3/12) %

    invested money: C

    Final money: 2C

    n: number of months

    Compund interest formula:

    Final money = Invested money * (1 + 0.03/12) ^n

    2C = C * (1.0025) ^n

    2C/C = (1.0025) ^n

    2 = (1.0025) ^n

    n = log (2) / log (1.0025)

    n = 277.6 months

    Time = 278 months = 23.1 years
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