Answer:
9672
Step-by-step explanation:
Population growth can be represented by the equation [tex]A=A_0e^{rt}[/tex]. We know the rate at which it grows is 1.36%. For the formula, we use the decimal conversion which is r=0.0136. We find the amount of time that has passed between 200 and 2006 is t=6 years. In this context, the starting population is [tex]A_0=8914[/tex]. We substitute and solve for A.
[tex]A=A_0e^{rt}\\A=8914e^{0.0136(6))}[/tex]
[tex]A=8914e^{0.0816}[[/tex]
We solve with a calculator by evaluating the exponent first and then multiplying by 8914.
[tex]A=8914e^{0.0816}[[/tex] .
[tex]A=8914(1.08502171433)[[/tex]
The solution is 9671.88356154 but we round to 9672.
