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2. 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) = Age-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.

2. 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) = Age-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.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2) Need help with calculus hw question

2. A pharmaceutical company is testing a new drug. After a person takes A, mg of the drug, the amount of the drug (in mg) in that person's body t hours later is given by A(t) = Age-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.
Transcribed Image Text:2. A pharmaceutical company is testing a new drug. After a person takes A, mg of the drug, the amount of the drug (in mg) in that person's body t hours later is given by A(t) = Age-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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