Question

the population of deer in a park was 250. for 5 years, the population grew by 3% per year, continuously compounded. what was the population at the end of the 5 year period according to the exponential growth function? round your answer down to the nearest whole number, and do not include units.

Answer 1

Answer: 290

Step-by-step explanation:

Exponential growth equation to find the values after t years:

$A=A_0e^{rt}$, where $A_0$ is the initial value and r is the rate of growth ( in decimal).

As per given , we have

$A_0=250$ , r= 3%  per year= 0.03 and t= 5 years

Then, the population at the end of the 5 year period will be :-

$A=(250)e^{0.03\times5}\\\\= 250\times(1.16183424273)\\\\=290.458560682\approx290$

Hence, the population at the end of the 5 year period = 290