A doctor prescribes 100 milligrams of a therapeutic drug that has decayed to 40% of its original quantity after 8 hours (ie. after 6 hours, only 40% remains). Assume the quantity of the drug is modeled by an exponential equation. Give a function that describes the quantity of the drug (in milligrams) after t hour and determine how long until only 5% of the drug remains? Please use a calculator to get the final answer and round down to two decimal places.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 62SE: A scientist begins with 100 milligrams of aradioactive substance that decays exponentially. After 35...
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A doctor prescribes 100 milligrams of a therapeutic drug that has decayed to 40% of its
original quantity after 8 hours (ie. after 6 hours, only 40% remains). Assume the quantity of the
drug is modeled by an exponential equation. Give a function that describes the quantity of the drug
(in milligrams) after t hour and determine how long until only 5% of the drug remains? Please use a
calculator to get the final answer and round down to two decimal places.

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We use radioactivity decay law 

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