Question

if the population of a particular country is growing at 1.5% compounded continuously, how long will it take the population to quadruple?

Answer 1

You need the formula for continuously compounded growth.

Answer 2

\(F = Pe^{rt} \)

F = future value
P = present value
r = rate
t = time

Answer 3

Yes, but how do you work it? Is it A=Pe^rt

Answer 4

Let P = 1 and F = 4. Then let r = 0.015.
Solve for t.

Answer 5

O.k. ty

Answer 6

\(4 = 1e^{0.015t} \)

\(4 = e^{0.015t} \)

Use ln to solve for t.

Answer 7

You're welcome.