DIFFERENTAL EQUATION Show COMPLETE SOLUTION. 3. A radioactive substance is known to decay at a rate proportional to its current mass. At t = 0, its mass is 57.5 milligrams. Two hours and 30 minutes later, the remaining mass is 87.5% of its original mass. a. Compute the mass(grams) of the substance after 120 minutes. b. Determine the time(minutes) at which the substance has decayed to one half of its initial mass.
DIFFERENTAL EQUATION Show COMPLETE SOLUTION. 3. A radioactive substance is known to decay at a rate proportional to its current mass. At t = 0, its mass is 57.5 milligrams. Two hours and 30 minutes later, the remaining mass is 87.5% of its original mass. a. Compute the mass(grams) of the substance after 120 minutes. b. Determine the time(minutes) at which the substance has decayed to one half of its initial mass.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 73RE
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DIFFERENTAL EQUATION
Show COMPLETE SOLUTION.
3. A radioactive substance is known to decay at a rate proportional to its current mass. At t = 0, its mass is 57.5 milligrams. Two hours and 30 minutes later, the remaining mass is 87.5% of its original mass.
a. Compute the mass(grams) of the substance after 120 minutes.
b. Determine the time(minutes) at which the substance has decayed to one half of its initial mass.
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