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12 February, 01:40

The exponential function n = 3.93 * 1.34d gives the approximate u. s. population, in millions, d decades after 1790. (the formula is valid only up to 1860.) (a) what is the yearly growth factor?

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  1. 12 February, 05:02
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    We have the following formula:

    n = 3.93 * 1.34 ^ d

    With the following variable:

    d = decades after 1790

    The growth factor of the population for each decade is:

    k = 1.34

    Which means that the population grows 34% every decade.

    For each year we have:

    1.34 ^ (1/10)

    =1.03

    The annual growth factor is:

    k = 1.03

    Answer:

    the yearly growth factor is:

    k = 1.03
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