dP Consider a rabbit population P(t) satisfying the logistic equation = aP-bp², where B = aP is the time rate at which , dt births occur and D = bp² is the rate at which deaths occur. If the initial population is 220 rabbits and there are 9 births per month and 12 deaths per month occurring at time t = 0, how many months does it take for P(t) to reach 115% of the limiting population M? months (Type an integer or decimal rounded to two decimal places as needed.)

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