Solve the problem.
-The population of a certain country is growing at a rate of $1.2 \%$ per year. How long will it take for this country's population to double? Use the formula $t = \frac { \ln 2 } { k }$, which gives the time, $t$, for a population with growth rate $k$, to double. (Round to the nearest whole year.)
A) 58 years
B) 59 years
C) 60 years
D) 57 years

Question

Quizplus · Accepted Answer

The formula $t = \frac { \ln 2 } { k }$ gives the time, $t$, for a population with growth rate $k$, to double. In this case, the growth rate is $1.2 \%$, or $0.012$. So, the time it will take for the population to double is:$$t = \frac { \ln 2 } { 0.012 } \approx 58.77 \text{ years}$$Rounding to the nearest whole year, the answer is 59 years.

Solve the Problem 1.2%1.2 \%1.2% Per Year How Long Will It Take for This Country's Population

Solve the Problem $1.2 \%$ Per Year How Long Will It Take for This Country's Population