Exponential and Logarithmic Functions

Evaluating an exponential function with base $e$ that models a real$-$world...

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A species of animal is discovered on an island. Suppose that the population size $P(t)$ of the species can be modeled by the following function, where time $t$ measured in years.

$P(t)=\frac{280}{1+6e^{-0\mathrm{.}3t}}$

Find the initial population size of the species and the population size after $10$ years.

Round your answers to the nearest whole number as necessary.

Initial population size:

individuals

Population size after $10$ years:

individuals

$37F$

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