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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.

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JeanaShupp

Answer: 290

Step-by-step explanation:

Exponential growth equation to find the values after t years:

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

As per given , we have

[tex]A_0=250[/tex] , r= 3%  per year= 0.03 and t= 5 years

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

[tex]A=(250)e^{0.03\times5}\\\\= 250\times(1.16183424273)\\\\=290.458560682\approx290[/tex]

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

Answer: 290

Step-by-step explanation:

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