Homework Help is Here – Start Your Trial Now!
Math
Calculus
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.

PREALGEBRA
PREALGEBRA
15th Edition
ISBN:9781938168994
Author:OpenStax
Publisher:OpenStax
Chapter5: Decimals
Section5.6: Ratios And Rate
Problem 484E: A 16-ounee chocolate mocha coffee with whipped cream contains 470 calories, 18 grams of fat, 63...
See similar textbooks
icon
Related questions
Question
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.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
PREALGEBRA
PREALGEBRA
Algebra
ISBN:
9781938168994
Author:
OpenStax
Publisher:
OpenStax
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS