Given
The concentration C(t) of a certain drug in the bloodstream after t minutes is given by,
[tex]C(t)=0.05(1-e^{-0.2t})[/tex]
To find the concentration after 11 minutes.
Explanation:
It is given that,
[tex]C(t)=0.05(1-e^{-0.2t})[/tex]
Then, for t=11,
[tex]\begin{gathered} C(11)=0.05(1-e^{-0.2\times11}) \\ =0.05(1-e^{-2.2}) \\ =0.05(1-0.1108) \\ =0.05\times0.8892 \\ =0.045 \end{gathered}[/tex]
Hence, the concentration after 11 minutes is 0.045.
