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) = (b) Find the mass (in mg) remaining after 15 days. (Round your answer to one decimal place.) 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.) days

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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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) =
(b) Find the mass (in mg) remaining after 15 days. (Round your answer to one decimal place.)
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.)
days
(d) Sketch the graph of the mass function.
y
25
20
15
10
O
5
20
40
60
80
100 120 140
50+
40
30
20
10
50
100
150 200
250
t
300
y
50
40
30
20
10
O
20
40
60
80 100 120 140
t
y
25
20
15
10
@O
5
50
100 150
200
250
300
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) = (b) Find the mass (in mg) remaining after 15 days. (Round your answer to one decimal place.) 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.) days (d) Sketch the graph of the mass function. y 25 20 15 10 O 5 20 40 60 80 100 120 140 50+ 40 30 20 10 50 100 150 200 250 t 300 y 50 40 30 20 10 O 20 40 60 80 100 120 140 t y 25 20 15 10 @O 5 50 100 150 200 250 300
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