A conservation department releases 1200 brook trout into a lake. It is estimated that the carrying capacity of the lake for the species is 20,400. After the first year, there are 2000 brook trout in the lake.
(a) Write a logistic equation that models the number of brook trout in the lake.
(b) Find the number of brook trout in the lake after 8 years.
(c) When will the number of brook trout reach 10,000?