# Math

the current population of a city is 45000 and is increasing according to P=45000(1+t)^n and n=number of years. if the rate of increase is 7.5% how long will it take the population to double?

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1. 90000 = 45000(1.075)^n
2 = 1.075^n
log both sides
log 2 = nlog1.075
n = log2/log1.075 = appr 8.58 years

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posted by Reiny

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