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25 February, 04:05

How many years will it take for 2000 to double at a simple interest rate of 8%? explain how you found your answer

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  1. 25 February, 04:25
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    A = P (1+RT)

    A (Future) = 2000 (2) = 4000

    P (Principal) = 2000

    R (Rate) = 8% =.08

    T (Time) = Unknown

    Create the equation:

    4000 = 2000 (1+.08t)

    Distribute the 2000:

    4000 = 2000 + 2000 (.08t)

    Multiply the 2000 (.08t):

    4000 = 2000 + 160t

    Subtract the 2000 from both sides:

    2000 = 160t

    Divide by 160:

    12.5

    Answer:

    It will take 12.5 years (12 years and 6 months) to double the 2000 to double.
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