A small lake is stocked with a certain species of fish. The fish population is modeled by the function P = 14 1 + 4e −0.4t where P is the number of fish in thousands and t is measured in years since...


A small lake is stocked with a certain species of fish. The fish population is modeled by the function



P =









14
1 + 4e−0.4t



whereP is the number of fish in thousands andt is measured in years since the lake was stocked.


(a) Find the fish population after 5 years. (Round your answer to the nearest whole fish.)


(b) After how many years will the fish population reach 7000 fish? (Round your answer to two decimal places.)


Jun 04, 2022
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