Question

2. The fox population in a certain region has a continuous growth rate of 9% per year. In the year 2012, there were 23,900 fox counted in the area. What is the fox population predicted to be in the year 2020

Answer 1

Explanation:

We can find the final population of foxes in 2020 using the compound interest formula

`A=P(1+r/n)^nt`

A=final population

P=initial population=23,900

r= rate of interest=0.09

n=number of times interest applied per time period=1

t=number of time periods elapsed=8years

upon equating all these values we get

`A= 23900(1+0.09/1)^1*8\\` =
`47,800`(approx.)