Exponential Population Growth Calculation

In a certain ecosystem, the population of rabbits after $t$ months can be modeled by the exponential function:

$$P(t) = P_0 e^{rt}$$

where:

• $P_0$ is the initial population,
• $r$ is the growth rate (expressed as a decimal),
• $t$ is the time in months, and
• $e$ is the base of the natural logarithm, approximately equal to 2.71828.

Suppose the initial rabbit population is 300, and the growth rate is 0.05. Calculate the rabbit population after 10 months.