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 is measured in years. P(t) =800/1+ 3e^-0.29t.
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.

The initial population is 200

The population after 10 years is 687

Step-by-step explanation:

Given

Solving (a): The initial population

Here:

Substitute 0 for t in P(t)

The initial population is 200

Solving (b): Population after 10 years.

Here

Substitute 10 for t in P(t)

-- approximated.

The population after 10 years is 687

answer: 43/157

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