The half-life of cobalt 60 is 5 years. (a) Obtain an exponential decay model for cobalt 60 in the form Q = Qoe-kt. (Round the decay constant to three significant digits.) -0.139t Q(t) = Q0e (b) Use your model to predict, to the nearest year, the time it takes one quarter of a sample of cobalt 60 to decay. 10 X yr

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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The half-life of cobalt 60 is 5 years.
(a) Obtain an exponential decay model for cobalt 60 in the form Q = Q₂e-kt. (Round the decay constant to three significant digits.)
Q(t) = 20e-0.139t
(b) Use your model to predict, to the nearest year, the time it takes one quarter of a sample of cobalt 60 to decay.
10
X yr
Transcribed Image Text:The half-life of cobalt 60 is 5 years. (a) Obtain an exponential decay model for cobalt 60 in the form Q = Q₂e-kt. (Round the decay constant to three significant digits.) Q(t) = 20e-0.139t (b) Use your model to predict, to the nearest year, the time it takes one quarter of a sample of cobalt 60 to decay. 10 X yr
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