After the closing of the mill, the town of Sawyerville experienced a decline in its population.
The relationship between the elapsed time, ttt, in years, since the closing of the mill, and the town's population, P(t)P(t)P, left parenthesis, t, right parenthesis, is modeled by the following function.
P(t)=12,000⋅2−t15
In how many years will Sawyerville's population be 9000?
Round your answer, if necessary, to the nearest hundredth.