SOLUTION: If the population of a town increases every year by 2% of a total population at the begining of that year, in how many year will the total increase of population be 40%?
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Question 448044: If the population of a town increases every year by 2% of a total population at the begining of that year, in how many year will the total increase of population be 40%? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! If the population of a town increases every year by 2% of a total population at the beginning of that year, In how many years will the total increase of population be 40%?
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A(t) = Ao*(1.02)^t
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1.4*Ao = Ao(1.02)^t
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1.02^t = 1.4
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Take the log of both sides:
t*log(1.02) = log(1.4)
t = 17 years
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Cheers,
Stan H.
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