Question

If the population of a particular country is growing at 1.6% compounded continuously, how long will it take the population to triple? The population will triple in ______ years if it is growing at 1.6% compounded continuously. (Round up to the nearest year.)

Answer 1

`e ^(0.016t)=3 / * log _(e) \\ log _(e) e^(0.016t)=log _(e) 3 \\ 0.016t=log _(e) 3`
0.016 t = 1.0986
t = 1.0986 : 0.016
t = 68.66 ≈ 69
The population will triple in 69 years if it is growing at 1.6 % compounded continuously.