. A pharmaceutical company is testing a new drug. After a person takes A0 mg of the drug, the amount of the drug (in mg) in that person’s body t hours later is given by A(t) = A0e−kt. In the tests, it is found that it takes 24 hours for the amount to reduce to 25% of the amount taken. a) Find the value of k. Do not round your answer. b) If a person takes 150 mg of the drug, how long will it take for the amount to reduce to 95 mg? Round your answer to two decimal places.
. A pharmaceutical company is testing a new drug. After a person takes A0 mg of the drug, the amount of the drug (in mg) in that person’s body t hours later is given by A(t) = A0e−kt. In the tests, it is found that it takes 24 hours for the amount to reduce to 25% of the amount taken. a) Find the value of k. Do not round your answer. b) If a person takes 150 mg of the drug, how long will it take for the amount to reduce to 95 mg? Round your answer to two decimal places.
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 50A
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2. A pharmaceutical company is testing a new drug. After a person takes A0 mg of the drug, the amount of the drug (in mg) in that person’s body t hours later is given by A(t) = A0e−kt. In the tests, it is found that it takes 24 hours for the amount to reduce to 25% of the amount taken.
a) Find the value of k. Do not round your answer.
b) If a person takes 150 mg of the drug, how long will it take for the amount to
reduce to 95 mg? Round your answer to two decimal places.
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