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27 January, 05:16

Two towns had a population of 12,000 in 1990. by 2000, the population of town a had increased by 8 ⁢ % while the population of town b had decreased by 8 ⁢ %. assume these growth and decay rates continued.

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  1. 27 January, 05:43
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    For this problem what we should do is write an exponential function for each town.

    We can write the exponential function for decades:

    town a =

    p (t) = 12000 (1.08) ^ (t)

    town b =

    p (t) = 12000 (0.92) ^ (t)

    In both cases:

    t = number of decades.

    We can write the exponential function for years:

    town a =

    p (t) = 12000 (1.08) ^ ((1/10) * t)

    town b =

    p (t) = 12000 (0.92) ^ ((1/10) * t)

    In both cases:

    t = number of years.
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