# Question: nt is the number of pine trees in the region...

###### Question details

n(t) is the number of pine trees in the region at time t (in years). Initially (at time t = 0) there are 8000 trees. Assume that the number of pine trees is modelled by the exponential decay function n(t) = 8000ekt (t ≥ 0), where k is a constant. After 3 years, 6000 trees remain. (a) Find the value of the constant k, correct to three significant figures