Answer:
0.037
Step-by-step explanation:
The question presents an exponential model linking concentration to the time.
We are supplied with the time here and we are asked to get the value for the concentration. What we simply need to do
Is to make a direct substitution
Thus, the concentration after 13 minis is as follows:
C(t) = 0.04(1 - e-0.2(13))
C(t) = 0.04( 1 - 0.074273578214)
C(t) = 0.04(0.925726421786)
C(t) = 0.037029056871
C(t) = 0.037 to three decimal places
We know the concentration equation of a drug after t minutes, with that, we want to get the concentration after 13 minutes, which is:
c(13) = 0.037
So we know that the equation for the concentration after t minutes is:
[tex]c(t) = 0.04*(1 - e^{-0.2*t})[/tex]
We want to get the concentration after 13 minutes, so we just need to evaluate t = 13 in the above equation, we will get:
[tex]c(13) = 0.04*(1 - e^{-0.2*13}) = 0.037[/tex]
This is the concentration after 13 minutes.
If you want to learn more, you can read:
https://brainly.com/question/7889096
