Suppose that P(t) (with t in months), the fish population in a lake contaminated by chemicals, satisfies the differential equation (a) (b) dP dt =-kP, k>0. Find the general solution of this differential equation. If today there are 400 fish in the pond, and we know that in a month there will be 300 fish in the pond, how many will be there after 1 year? (Give the exact value calculated with this model, do not approximate.)

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