Question

The concentration C(t) of a certain drug in the bloodstream after t minutes is given by the formula C(t) = 0.05 (1-e^-0.2)What is the concentration after 11 minutes? Round to three decimal places.

Answer 1

Given

The concentration C(t) of a certain drug in the bloodstream after t minutes is given by,

`C(t)=0.05(1-e^(-0.2t))`

To find the concentration after 11 minutes.

Step-by-step explanation:

It is given that,

`C(t)=0.05(1-e^(-0.2t))`

Then, for t=11,

`\begin{gathered} C(11)=0.05(1-e^(-0.2*11)) \\ =0.05(1-e^(-2.2)) \\ =0.05(1-0.1108) \\ =0.05*0.8892 \\ =0.045 \end{gathered}`

Hence, the concentration after 11 minutes is 0.045.