Question: Consider a population that follows the logistic growth model P(t) = K

Question:
Consider a population that follows the logistic growth model P(t) = K / (1 + Ae^(-rt)), where P(t) is the population size at time t, K is the carrying capacity of the environment, A is a constant, r is the growth rate, and e is the base of natural logarithms. If the initial population is 200, the carrying capacity is 1000, and the growth rate is 0.02, what is the population size after 20 years?