dP Consider a rabbit population P(t) satisfying the logistic equation ap - bP, where B = aP is the time rate at which births occur and D = bP is the rate at which %3D dt deaths occur. If the initial population is 220 rabbits and there are 6 births per month and 10 deaths per month occurring at time t = 0, how many months does it take for P(t) to reach 105% of the limiting population M? months (Type an integer or decimal rounded to two decimal places as needed.)