[Steps Shown] For the following renewal rate and survival function, and the initial population P_0, find the population at the end of the indicated term


Question: For the following renewal rate and survival function, and the initial population \({{P}_{0}}\), find the population at the end of the indicated term T .

\[{{P}_{0}}=500,000;\,\,\,R=800;\,\,\,S\left( t \right)={{e}^{-0.011t}}\]

where t is measured in years, and T =3 years.

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