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Question 309493: if the earth's population today is 682,386,000,000 and the growth rate of that population is 2% per year, how long will it take(in years) for the population to increase to 10 times its present value
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! if the earth's population today is 682,386,000,000 and the growth rate of that population is 2% per year, how long will it take(in years) for the population to increase to 10 times its present value
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10 = (1 +0.02)^t (t in years)
1.02^t = 10
t*log(1.02) = 1
t = 1/log(1.02)
t =~ 116.28 years (compounded annually)
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Population is a continuous process, not just annual adjustments.
10 = e^rt = e^0.02t
0.02t = ln(10)
t = ln(10)/0.02
t =~ 115.13 years, slightly less
115.13 years is the correct answer
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