SOLUTION: how long will it take for the population of a certain country to triple if its annual growth rate is 2.8%? (round to the nearest year.) Use this exponontial growth model P(t) = P0e

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: how long will it take for the population of a certain country to triple if its annual growth rate is 2.8%? (round to the nearest year.) Use this exponontial growth model P(t) = P0e      Log On


   



Question 301576: how long will it take for the population of a certain country to triple if its annual growth rate is 2.8%? (round to the nearest year.) Use this exponontial growth model P(t) = P0ekt
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
how long will it take for the population of a certain country to triple if its annual growth rate is 2.8%? (round to the nearest year.) Use this exponontial growth model P(t) = P0ekt
.
P%28t%29+=+P0e%5E%28kt%29
Let x = initial population
then
3x+=+xe%5E%28.028t%29
Dividing both sides by x:
3+=+e%5E%28.028t%29
ln%283%29+=+.028t
ln%283%29%2F.028+=+t
39 years = t