Question

the population of a town increases every year by 2% of the population at the beginning that year
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Answer 1

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