If the population of Landman, Kansas is given by P(t)=22000(1.05)^ t , where t is the number of years…?

If the population of Landman, Kansas is given by P(t)=22000(1.05)^ t , where t is the number of years since 2000, in what year will the population reach 44,000 (to the
nearest whole year)?

please explain :)

One Response to “If the population of Landman, Kansas is given by P(t)=22000(1.05)^ t , where t is the number of years…?”

  1. M3 Says:

    44000 = 22000(1.05)^t

    2 = 1.05^t

    t*log 1.05 = log 2

    t = log 2 / log 1.05 = 14.2 years

    => 14 years, ie 2014
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