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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

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

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.CR: Chapter Review
Problem 13CC: Suppose that the initial mass of radioactive substance is m0 and the half-life of the substance is...
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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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