## 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

August 15th, 2011 at 9:26 pm

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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