Solve the problem.
-The population of a particular country was 21 million in 1984; in 1989, it was 32 million. The exponential growth function $\mathrm { A } = 21 \mathrm { e } ^ { \mathrm { kt } }$ describes the population of this country t years after describes the population of this country t years after 1984. Use the fact that 5 years
After 1984 the population increased by 11 million. Find k rounded to three decimal places.
A)0.084
B)1.302
C)0.094
D)0.480

Question

Quizplus · Accepted Answer

The population increased by 11 million in 5 years, so $32 = 21 \mathrm { e } ^ { 5 \mathrm { k } }$. Solving for k gives $k = \frac { \ln \frac { 32 } { 21 } } { 5 } \approx 0.084$.

Solve the Problem A=21ekt\mathrm { A } = 21 \mathrm { e } ^ { \mathrm { kt } }A=21ekt

Solve the Problem $\mathrm { A } = 21 \mathrm { e } ^ { \mathrm { kt } }$