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2 May, 03:51

How many years will it take for an initial investment of $20,000 to grow to $30,000? Assume a rate of interest of 6% compounded continuously.

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  1. 2 May, 03:56
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    F = Pe^ (rt)

    F is the final amount

    P is the principal

    r is the interest rate

    t is the time in years

    30000=20000 e^ (.06t)

    divide by 20000

    3/2 = e ^.06t

    take the ln on each side

    ln (3/2) =.06t

    divide by. 06

    ln (3/2) /.06 = t

    t=6.75775 years
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