Logistic differential problem

1. A population, P(t), satisfies the logistic differential equation dP/dt = (2/3)P(5-P/100). What is lim as t --> infinity P(t)?

I know you're supposed to factor out the 5 to get dP/dt = (10/3)P(1-P/20)

Any ideas?

2. M/(1+Ae^-kt) where A = (M-Po)/Po

3. I'm know k = 10/3 and M = 20
I'm trying to plug everything into
I think Po is initial population, but don't know where to go from there