SOLUTION: Solve. How long will it take for the population of a certain country to double if its annual growth rate is 1.5%? Round to the nearest year. Use the exponential growth model P(t)

Question 299884: Solve.
How long will it take for the population of a certain country to double if its annual growth rate is 1.5%? Round to the nearest year. Use the exponential growth model P(t) = P0ekt.
Answer by nerdybill(7384) (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 1.5%? Round to the nearest year. Use the exponential growth model P(t) = P0ekt.
.
Plug in the data provided by the problem into the given equation and solve for t:
Let x = initial population
the
2x = double initial population
.
2x = xe^(.015t)
Dividing both sides by x:
2 = e^(.015t)
ln(2) = .015t
ln(2)/.015 = t
46 years = t

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