RyanneT229476 RyanneT229476
  • 04-11-2022
  • Mathematics
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how long will it take for the population to reach 2128 alligators, according to this model?

how long will it take for the population to reach 2128 alligators according to this model class=

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AdaiahN189680 AdaiahN189680
  • 04-11-2022

From the problem we will have the following:

[tex]\begin{gathered} 2128=(133)4^{t/4}\Rightarrow16=4^{t/4} \\ \\ \Rightarrow ln(16)=ln(4^{t/4})\Rightarrow ln(16)=\frac{t}{4}ln(4) \\ \\ \Rightarrow t=\frac{4ln(6)}{ln(4)}\Rightarrow t\approx5.17 \end{gathered}[/tex]

So, the time it will pass will be approximately 5.17 years.

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