INTERMEDIATE ALGEBRA

Question

The concentration C(t)�(�) of a certain drug in the bloodstream after t minutes is given by the formula C(t)=0.06(1−e−0.2t)�(�)=0.06(1−�−0.2�). What is the concentration after 44 minutes? Round to 3 decimal places.



Answer 1

C(t) = 0.06(1 - e^{- 0.2t})

C(44) = 0.06(1 - e^{- 8.8})

Answer 2

C(t) = C(44) = 0.06(1-e^(-0.2t)) = 0.06(1-e^(-0.2*44))

= 0.06(1-e^(-8.8))

C(44) = 0.060, rounded to 3 decimal places.