A fish hatchery has 500 fish at time ? = 0. Each year 40 fish are harvested (evenly, throughout the year). The population’s instantaneous growth rate is 10% per year. Thus after 1 year, if no fish were harvested, there would be slightly more than 550 fish. a) Create the modeling differential equation for the amount of the number of fish in the hatchery, y, at time t. b) Solve the differential equation. c) Is there a steady-state level of the number of fish in the hatchery?

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