A radioactive element decays according to the function Q = Qoert, where Qo is the amount of the substance at time t = 0, r is the continuous compound rate of decay, t is the time in years, and Q is the amount of the substance at time t. If the continuous compound rate of the element per year is r= -0.000333, how long will it take a certain amount of this element to decay to half the original amount? (The period is the half-life of the substance.) The half-life of the element is approximately years. (Do not round until the final answer. Then round to the nearest year as needed.).
A radioactive element decays according to the function Q = Qoert, where Qo is the amount of the substance at time t = 0, r is the continuous compound rate of decay, t is the time in years, and Q is the amount of the substance at time t. If the continuous compound rate of the element per year is r= -0.000333, how long will it take a certain amount of this element to decay to half the original amount? (The period is the half-life of the substance.) The half-life of the element is approximately years. (Do not round until the final answer. Then round to the nearest year as needed.).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A radioactive element decays according to the function Q = Qe¹t, where Q is the amount of the substance at time
t = 0, r is the continuous compound rate of decay, t is the time in years, and Q is the amount of the substance at time
t. If the continuous compound rate of the element per year is r= -0.000333, how long will it take a certain amount of
this element to decay to half the original amount? (The period is the half-life of the substance.)
The half-life of the element is approximately years.
(Do not round until the final answer. Then round to the nearest year as needed.).
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