(a) Find the mass (in mg) that remains after t years. y(t) = mg (b) How much of the sample (in mg) remains after 140 years? (Round your answer to two decimal places.) mg (c) After how many years will only 1 mg remain? (Round your answer to one decimal place.) t = 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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Question
The half-life of cesium-137 is 30 years. Suppose we have a 190 mg sample.
(a) Find the mass (in mg) that remains after t years.
y(t) =
mg
(b) How much of the sample (in mg) remains after 140 years? (Round your answer to two decimal places.)
mg
(c) After how many years will only 1 mg remain? (Round your answer to one decimal place.)
t =
X yr
Transcribed Image Text:The half-life of cesium-137 is 30 years. Suppose we have a 190 mg sample. (a) Find the mass (in mg) that remains after t years. y(t) = mg (b) How much of the sample (in mg) remains after 140 years? (Round your answer to two decimal places.) mg (c) After how many years will only 1 mg remain? (Round your answer to one decimal place.) t = X yr
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