SOLUTION: the number of milligrams of a diabetic drug in a person's system after t hours is given by the function D(t)=20e^ (-0.4t). In this function, how many milligrams of drug did this p

Algebra ->  Rational-functions -> SOLUTION: the number of milligrams of a diabetic drug in a person's system after t hours is given by the function D(t)=20e^ (-0.4t). In this function, how many milligrams of drug did this p      Log On


   



Question 617873: the number of milligrams of a diabetic drug in a person's system after t hours is given by the function D(t)=20e^ (-0.4t). In this function, how many milligrams of drug did this patient initially take?
Answer by nerdybill(7384) About Me  (Show Source):
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the number of milligrams of a diabetic drug in a person's system after t hours is given by the function D(t)=20e^ (-0.4t). In this function, how many milligrams of drug did this patient initially take?
.
Answer: 20 milligrams
.
Because:
D(t)=20e^ (-0.4t)
is in the general form of an exponential function:
A = Ao*e^(kt)
where
A is amount after time t
Ao is the initial amount
k is the rate of increase/decrease
t is time