The antidepressant fluoxetine (or Prozac) has a half-life of about days. What percentage of a dose remains in the body after one day?

The complete question is :

The antidepressant fluoxetine (or Prozac) has a half-life of about 3 days. What

percentage of a dose remains in the body after one day

79.4 per cent.

Explanation:

Half life of a substance can be defined as the amount of time taken to degrade it half or it can be defined as the time which is required by the substance to become half of its original amount.

Here we need to find the half life of a medicine fluoxetine.

The equation which can be written for the question is :P(t) which will provide the information about the amount of medicine left in the body after one day or time (t)

Since the half-life is 3 days, P(t) = 2 −t/3.

Then P(1) = 2 −1/3 ≈ 0.794 =  0.794*100=79.4%  is the amount of substance left in the body after one day.

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