The population after 14 years is 22662.
It is given that,
Explanation:
The exponential growth model is:
[tex]P=P_0\left(1+r\right)^t[/tex]
Where, [tex]P[/tex] is population after [tex]t[/tex] years, [tex]P_0[/tex] is the initial population and [tex]r[/tex] is the growth rate.
Substituting [tex]P_0=14000,r=0.035,t=14[/tex] in the above equation.
[tex]P=14000\left(1+0.035\right)^{14}[/tex]
[tex]P=14000\left(1.035\right)^{14}[/tex]
[tex]P=22661.7233[/tex]
[tex]P\approx 22662[/tex]
Thus, the population after 14 years is 22662.
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