Question

An animal reserve has 42,000 elk. The population is increasing at a rate of 16% per year. How long will it take for the population to reach 84,000?

Answer 1

4.67 years

Explanation:

The future population is calculated by
`A=P(1+i)^(n)` where A is projected population, P is present population, i is interest rate in decimal and n is duration in years.

`84000=42000(1+0.16)^(n)\\n=\frac {log 2}{log 1.16}=4.6701735389888214612132532241097152772246\approx 4.67 years`