A radioactive element decays according to the function Q= Q, e", 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= - 0.000155, 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.). pei

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
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Please solve and round to the nearest year

A radioactive element decays according to the function Q= Q, e"
it
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= -0.000155, 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.)
:画
The half-life of the element is approximately years.
(Do not round until the final answer. Then round to the nearest year as needed.).
pei
Transcribed Image Text:A radioactive element decays according to the function Q= Q, e" it 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= -0.000155, 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.) :画 The half-life of the element is approximately years. (Do not round until the final answer. Then round to the nearest year as needed.). pei
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