SOLUTION: If the doubling time of a state’s population is 42 years, how long does it take for the population to increase by a factor of 16?

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Question 445764: If the doubling time of a state’s population is 42 years, how long does it take for the population to increase by a factor of 16?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If the doubling time of a state’s population is 42 years, how long does it take for the population to increase by a factor of 16?
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A(t) = Ao*2^(t/42)
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Solve:
16Ao = Ao*2^(t/42)
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2^(t/42) = 16
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2^(t/42) = 2^4
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t/42 = 4
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t = 4*42 = 168 years
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Cheers,
Stan H.
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