A mathematical model for the decay of radioactive substances is given by Q = Q 0 e

Question:

A mathematical model for the decay of radioactive substances is given by

Q = Q₀e^rt

where

Q₀ = amount of the substance at time t = 0
r = continuous compound rate of decay
t = time in years
Q = amount of the substance at time t

If the continuous compound rate of decay of radium per year is r = -0.000 433 2, how long will it take a certain amount of radium to decay to half the original amount? (This period is the half-life of the substance.)

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College Mathematics For Business Economics, Life Sciences, And Social Sciences

ISBN: 978-0134674148

14th Edition

Authors: Raymond Barnett, Michael Ziegler, Karl Byleen, Christopher Stocker

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Question Posted: Apr 09, 2022 11:19 PM

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A mathematical model for the decay of radioactive substances is given by Q = Q 0 e

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Q Q 0 e rt for the half amount requ...View the full answer

College Mathematics For Business Economics, Life Sciences, And Social Sciences

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