SOLUTION: How long will it take for the population of a certain country to double if its annual growth rate is 5%? Round to the nearest year.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: How long will it take for the population of a certain country to double if its annual growth rate is 5%? Round to the nearest year.      Log On


   



Question 691819: How long will it take for the population of a certain country to double if its annual growth rate is 5%? Round to the nearest year.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How long will it take for the population of a certain country to double if its annual growth rate is 5%? Round to the nearest year.
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Solve:
2P = P(1.05)^x
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(1.05)^x = 2
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x*log(1.05) = log(2)
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x = log(2)/log(1.05)
x = 14 when rounded down to the nearest year
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Cheers,
Stan H.
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