Question

A population of 6000 animals decrease at an annual rate of 0.7%. What is the expected population in 12 years? Round your answer to the nearest whole number.

Answer 1

The population is expected to be 5515 animals in 12 years.

Explanation:

This problem can be solved by using a compounded interest formula with a negative interest rate, since the number of animals are decreasing. We have:

final population = initial population * (1 - r)^(t)

Where r is rate of decline and t is the time elapsed. Applying the data from the question we have:

final population = 6000*(1 - 0.007)^(12)

final population = 6000*(0.993)^12 = 5514.9582 animals

The population is expected to be 5515 animals in 12 years.