Biologists stocked a lake with 500 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 7000. The number of fish grew to 680 in the first year. a)Find an equation for the number of fish P(t) after t years P(t) = Preview b) How long will it take for the population to increase to 3500 (half of the carrying capacity)? It will take Preview years. You may enter the exact value or round to 2 decimal places.

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