A radioactive element decays according to the function Q = Q, et, 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= - 0.00027, 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.

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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Phys Sci 3.1.41
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A radioactive element decays according to the function Q = Qo e t, 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= - 0.00027, 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.).
Enter your answer in the answer box and then click Check Answer.
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Transcribed Image Text:Phys Sci 3.1.41 Question Help A radioactive element decays according to the function Q = Qo e t, 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= - 0.00027, 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.). Enter your answer in the answer box and then click Check Answer. All parts showing Clear All Check Answer
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