SOLUTION: Suppose that the world population is increasing at an annual rate of 2%. If we assume an exponential growth model, in how many years will the population double?
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Question 298753: Suppose that the world population is increasing at an annual rate of 2%. If we assume an exponential growth model, in how many years will the population double? Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! Suppose that the world population is increasing at an annual rate of 2%. If we assume an exponential growth model, in how many years will the population double?
.
Exponential growth can be modeled as:
A(t) = Pe^(rt)
where
A(t) is the population at time t
P is the initial population
r is the growth rate
t is time
.
Let P = initial population
then
2P = Pe^(.02t)
2 = e^(.02t)
ln 2 = .02t
ln 2/(.02) = t
34.66 years = t
