SOLUTION: How long will it take for the population of a certain country to double if its annual growth rate is 3.5%? (Round to the nearest year) Use the exponential growth modle P(t) = poe k

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: How long will it take for the population of a certain country to double if its annual growth rate is 3.5%? (Round to the nearest year) Use the exponential growth modle P(t) = poe k      Log On


   



Question 300705: How long will it take for the population of a certain country to double if its annual growth rate is 3.5%? (Round to the nearest year) Use the exponential growth modle P(t) = poe kt
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 double if its annual growth rate is 3.5%? (Round to the nearest year) Use the exponential growth modle P(t) = poe kt
.
P(t) = poe^kt
.
Let x = initial population
then
2x = xe^(.035t)
dividing both sides by x:
2 = e^(.035t)
ln(2) = .035t
ln(2)/.035 = t
19.80 = t
round to nearest year:
20 years = t