Question

A small lake is stocked with a certain species of fish. The fish population is modeled by the function
P =
14
1 + 4e−0.5t
where P is the number of fish in thousands and t is measured in years since the lake was stocked.
(a) Find the fish population after 2 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.)