Let c be a positive number. A differential equation of the form below where k is a positive constant, is called a doomsday equation because the exponent in the expression ky1+c is larger than the exponent 1 for natural growth. An especially prolific breed of rabbits has the growth term ky1.01. If 5 such rabbits breed initially and the warren has 19 rabbits after three months, then when is doomsday? (Doomsday is the finite time t=T such that lim_(t->T) y(t) = infinity. Round the answer to two decimal places.)