SOLUTION: In the formula N = Pe^kt, N is the number of items in terms of an initial population P at a given time t and k is a growth constant equal to the percent of growth per unit time. Ho

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: In the formula N = Pe^kt, N is the number of items in terms of an initial population P at a given time t and k is a growth constant equal to the percent of growth per unit time. Ho      Log On


   



Question 1010239: In the formula N = Pe^kt, N is the number of items in terms of an initial population P at a given time t and k is a growth constant equal to the percent of growth per unit time. How long will it take for the population of a certain country to double if its annual growth rate is 8.6%? Round to the nearest year.
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
From N = Pe^kt, we plug in, knowing we want to double our initial P, and get
2P = Pe^(.086t)
and solve for t...
2 = e^(.086t)
ln 2 = .086t
t = ln 2 / .086 = 8.06 years or about 8 years