Strontium-90 has a half-life of 28 days. (a) A sample has initial mass of 50 mg. Find a formula for the mass remaining after t days, y(t). y(t) 50 -2 (*)- (b) Find the mass (in mg) remaining after 15 days. (Round your answer to one decimal place.) 34.5 mg (c) How long does it take (in days) the sample to decay to a mass of 2 mg? (Round your answer to the nearest day.) 130 days

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 99E: Radioactive decay Uranium-234 has a half-life of 2.7x105 Years. (a)Find the amount remaining from a...
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Strontium-90 has a half-life of 28 days.
(a) A sample has initial mass of 50 mg. Find a formula for the mass remaining after t days, y(t).
y(t) =
50 2
(b) Find the mass (in mg) remaining after 15 days. (Round your answer to one decimal place.)
34.5
mg
(c) How long does it take (in days) the sample to decay to a mass of 2 mg? (Round your answer to the nearest day.)
130
days
(d) Sketch the graph of the mass function.
y
y
y
25
25
50
20
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40
15
15
30
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10
20
5
10
50
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300
20
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140
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140
Transcribed Image Text:Strontium-90 has a half-life of 28 days. (a) A sample has initial mass of 50 mg. Find a formula for the mass remaining after t days, y(t). y(t) = 50 2 (b) Find the mass (in mg) remaining after 15 days. (Round your answer to one decimal place.) 34.5 mg (c) How long does it take (in days) the sample to decay to a mass of 2 mg? (Round your answer to the nearest day.) 130 days (d) Sketch the graph of the mass function. y y y 25 25 50 20 20 40 15 15 30 10 10 20 5 10 50 100 150 200 250 300 20 40 60 80 100 120 140 20 40 60 80 100 120 140
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