The half-life of cesium-137 is 30 years. Suppose we have a 160 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 80 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 = yr

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.3: Applications: Growth And Decay
Problem 20E: Half-Life The half-life of plutonium-241 is approximately 13 years. How much of a sample weighing 4...
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Q3. Please answer all the parts to this question

The half-life of cesium-137 is 30 years. Suppose we have a 160 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 80 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 =
yr
Transcribed Image Text:The half-life of cesium-137 is 30 years. Suppose we have a 160 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 80 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 = yr
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