[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 T
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 .
\[{{P}_{0}}=800,000;\,\,\,R=500;\,\,\,S\left( t \right)={{e}^{-0.005t}}\]where t is measured in months, and T =5 months.
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