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Biologists stock a lake with 500 fish and estimate the carrying capacity to be 10,000. The...

Biologists stock a lake with 500 fish and estimate the carrying capacity to be 10,000. The number of fish tripled during the first year. (a) Assuming that the size of the fish population satisfies the logistics equation, find the size of the population after 3 years? (Round to nearest whole number) (b) How long will it take the population to reach 4000 fish? (Round your answer to 4 places after the decimal point).

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