5. A manufacturing plant stores chemical waste in a temporary holding tank to be disposed of later. They have recently changed their storage procedure. The new procedure increases the amount, in pounds, of a dangerous chemical in the tank at a rate defined by the (12 - t) function c(t) = e
3, where t is the number of months since the change was

implemented. Simultaneously, the plant also began a new removal procedure, which (t - 16)

removes the chemical from the tank at a rate defined by the function r(t) = e t is the number of months since the removal procedure began.
Part A
4, where

How many months will it take for the rate at which the chemical is added to the tank to be equal to the rate at which the chemical is removed from the tank? Explain how you found your answer.
Respond in the space provided.