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A pharmaceutical company is testing a new drug. After a person takes Ao mg of the drug, the amount of the drug (in mg) in that person's body t hours later is given by A(t) = Aoe-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 Ao mg of the drug, the amount of the drug (in mg) in that person's body t hours later is given by A(t) = Aoe-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.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.1: Ratios
Problem 25WE
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A pharmaceutical company is testing a new drug. After a person takes Ao mg of the drug, the amount of the drug (in mg) in that person's body by A(t) reduce to 25% of the amount taken. hours later is given Age-kt. In the tests, it is found that it takes 24 hours for the amount to a) Find the value of k. Do not round your ansSwer. 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.
Transcribed Image Text:A pharmaceutical company is testing a new drug. After a person takes Ao mg of the drug, the amount of the drug (in mg) in that person's body by A(t) reduce to 25% of the amount taken. hours later is given Age-kt. In the tests, it is found that it takes 24 hours for the amount to a) Find the value of k. Do not round your ansSwer. 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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