Given:
Initial population = 12,000
Rate of increasing = 9% = 0.09
Required: Population after 7 years
Explanation:
The population growth after t years is defined as
[tex]P(t)=P_0e^{kt}[/tex]Substitute the given values into the formula.
[tex]P(t)=12000e^{0.09t}[/tex]To find the population after 7 years, substitute 7 for t in P(t).
[tex]\begin{gathered} P(7)=12000e^{0.09\cdot7} \\ \approx22531 \end{gathered}[/tex]Final Answer: 22531 marsupials are there after 7 years
