SOLUTION: Suppose the population of a small town is 11000 and growing exponentially at 1.8 %. How many years until the population reaches 26000? Round to the nearest year.

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Question 1146553: Suppose the population of a small town is 11000 and growing exponentially at 1.8 %. How many years until the population reaches 26000?




Round to the nearest year.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
P=Po(a^t)
26000=11000(1.018)^t
2.3636=1.018^t
ln 2.3636=t ln 1.018 but carry all digits through and round at end
t=ln 2.3636/ln 1.018
=48.22 years or 48 years
This is a little more than doubling, so rule of 72 would say a little more than 72/1.8=40. Answer makes sense.