SOLUTION: How long will it take for the population of a certain country to double if its annual growth rate is 5.1%? I have been dividing ln2 by 5.1%? A)14 yr B)6 yr C) 39 yr D) 1

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 5.1%? I have been dividing ln2 by 5.1%? A)14 yr B)6 yr C) 39 yr D) 1       Log On


   



Question 300393: How long will it take for the population of a certain country to double if its annual growth rate is 5.1%?
I have been dividing ln2 by 5.1%?
A)14 yr
B)6 yr
C) 39 yr
D) 1 yr

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
.
Apply:
A = Pe^(rt)
.
Let x = current population
then
2x = xe^(.051t)
2 = e^(.051t)
ln 2 = .051t
ln 2/.051 = t
13.6 years =t
.
Closest answer would be B