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Given an Initial Population P0 = 8,000, a Renewal Rate R(t)=300e0.04tR ( t ) = 300 e ^ { 0.04 t }

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Given an initial population P0 = 8,000, a renewal rate R(t)=300e0.04tR ( t ) = 300 e ^ { 0.04 t } and a survival function S(t)=e0.025tS ( t ) = e ^ { - 0.025 t } , where t is measured in years, determine the population at the end of 7 years.

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