A radioactive element is known to decay at a rate proportional to its present mass. Initially, there is 0.0675 grams of the element. Three hours later, the remaining mass is 85% of its original mass. Compute the mass(in milligrams) of the element after 3.5 hours. b. a. Determine the time at which the element has decayed to one half of its initial mass.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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DIFFERENTIAL EQUATION

ELEMENTARY APPLICATIONS

Solve the following problems. Show complete solution.

A radioactive element is known to decay at a rate proportional to its present mass. Initially, there is 0.0675
grams of the element. Three hours later, the remaining mass is 85% of its original mass.
Compute the mass(in milligrams) of the element after 3.5 hours.
4.
a.
b.
Determine the time at which the element has decayed to one half of its initial mass.
Transcribed Image Text:A radioactive element is known to decay at a rate proportional to its present mass. Initially, there is 0.0675 grams of the element. Three hours later, the remaining mass is 85% of its original mass. Compute the mass(in milligrams) of the element after 3.5 hours. 4. a. b. Determine the time at which the element has decayed to one half of its initial mass.
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