e half-life of radium-226 is 1600 years. Suppose we have a 22-mg sample. (a) Find a function m(t) = mo2-t/h that models the mass remaining after t years. m(t) = (b) How much of the sample will remain after 2500 years? (Round your answer to o mg (c) After how many years will only 18 mg of the sample remain? (Round your answe yr

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 15T
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This exercise uses the radioactive decay model.
The half-life of radium-226 is 1600 years. Suppose we have a 22-mg sample.
(a) Find a function m(t) = mo2-t/h that models the mass remaining after t years.
m(t)
%3D
(b) How much of the sample will remain after 2500 years? (Round your answer to on
mg
(c) After how many years will only 18 mg of the sample remain? (Round your answer
yr
Transcribed Image Text:This exercise uses the radioactive decay model. The half-life of radium-226 is 1600 years. Suppose we have a 22-mg sample. (a) Find a function m(t) = mo2-t/h that models the mass remaining after t years. m(t) %3D (b) How much of the sample will remain after 2500 years? (Round your answer to on mg (c) After how many years will only 18 mg of the sample remain? (Round your answer yr
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