SOLUTION: The exponential function A(t) = 200e−0.014t gives the amount of medication, in milligrams, in a patient's bloodstream t minutes after the medication has been injected int

Algebra ->  Inequalities -> SOLUTION: The exponential function A(t) = 200e−0.014t gives the amount of medication, in milligrams, in a patient's bloodstream t minutes after the medication has been injected int      Log On


   



Question 1131148: The exponential function
A(t) = 200e−0.014t
gives the amount of medication, in milligrams, in a patient's bloodstream t minutes after the medication has been injected into the patient's bloodstream.
(a) Find the amount of medication, to the nearest milligram, in the patient's bloodstream after 35 minutes._____mg

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

A%28t%29+=+200e%5E%28-0.014t%29

(a) Find the amount of medication, to the nearest milligram, in the patient's bloodstream after t=35 minutes

A%2835%29+=+200e%5E%28-0.014%2A35%29

A%2835%29+=+200e%5E%28-0.49%29

A%2835%29+=+200%281%2Fe%5E%280.49%29%29

A%2835%29+=+200%2A0.612626

A%2835%29+=+122.5252.........round it

A%2835%29+=+123 milligrams