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.
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...
Related questions
Question
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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
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 Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
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 Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL