SOLUTION: If the population of a country is 25000 and it increases by 10% each year. After how many years will the original population be doubled?

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Question 229150: If the population of a country is 25000 and it increases by 10% each year. After how many years will the original population be doubled?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If the population of a country is 25000 and it increases by 10% each year. After how many years will the original population be doubled?
:
Let t = time in years, use the decimal equiv of 10%
:
25000*(1.10)^t = 50000
:
1.1^t = 50000%2F25000
1.1^t = 2
Using logs
t*log(1.1) = log(2)
.04139t = .301
t = .301%2F.04139
t = 7.2725 yrs
;
:
See if that is true, check on a calc, enter: 25000*(1.1)^7.2725 ~ 50000