A species of fish is introduced to a lake. The population, N, of this species of fish

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A species of fish is introduced to a lake.

The population, N, of this species of fish after t weeks is given by the formula

N = 500 e-0.3t.

a. Find the initial population of these fish.

b. Estimate the number of these fish after 6 weeks.

c. Estimate the number of weeks it takes for the number of these fish to have fallen to ½ of the number introduced.

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