SOLUTION: suppose that the population of a small town is 32000 at the beginning of 2005 and the city council assumes that the population size t years later can be estimated by the equation p

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Question 926936: suppose that the population of a small town is 32000 at the beginning of 2005 and the city council assumes that the population size t years later can be estimated by the equation p(t)=32000e^0.05t Approximately when will the city have a population of 64000?
Answer by stanbon(75887) About Me  (Show Source):
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suppose that the population of a small town is 32000 at the beginning of 2005 and the city council assumes that the population size t years later can be estimated by the equation p(t)=32000e^0.05t Approximately when will the city have a population of 64000?
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Solve::
64000 = 32000*e^(0.05t)
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e^(0.05t) = 2
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Take the natural log of both sides to get:
0.05t = ln(2)
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t = ln(2)/0.05
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t = 13.86 years
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Cheers,
Stan H.
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