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13 February, 18:24

An investment of $5000 doubles in value every decade. The function f (x) = 5000 · 2^x, where x is the number of decades, models the growth of the value of their investment. How much is the investment worth after 30 yr?

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  1. 13 February, 20:41
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    1 decade = 10 years

    30 years = 3 decades

    Simply plug in the value of the number of decades needed to find into where the x value is.

    f (x) = 5000 · 2^x

    f (3) = 5000 · 2^3 = 40000

    The investment is worth $40000 after 30 years.
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