SOLUTION: If the population of a particular country is growing at 3.5% compounded continuously, how long will it take the population to quadruple?

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Question 1111263: If the population of a particular country is growing at 3.5% compounded continuously, how long will it take the population to quadruple?
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

+F+=+Pe%5E%28rt%29+
where
F = future value or amount
P = present value or amount
r = annual rate
t = number of years
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To quadruple, we end up with F=4P:
+4P+=+Pe%5E%28%280.035%29t%29+
++4+=+e%5E%28%280.035%29t%29+
+ln%284%29+=+0.035t+
+t+=+ln%284%29%2F0.035+=+39.608+ years
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Ans: A population growing at 3.5% annually, compounding continuously, quadruples in 39.608 years
( about 39 years, 7 months, 9 days )
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