A sample of 600 g of radioactive lead-210 decays to polonium-210 according to the function A(t)=600e−0.032t, where t is time in years. Find the amount of radioactive lead remaining after (a) 3 yr, (b) 8 yr, (c) 20
A sample of 600 g of radioactive lead-210 decays to polonium-210 according to the function A(t)=600e−0.032t, where t is time in years. Find the amount of radioactive lead remaining after (a) 3 yr, (b) 8 yr, (c) 20
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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Question
A sample of
600
g of radioactive lead-210 decays to polonium-210 according to the function
A(t)=600e−0.032t,
where t is time in years. Find the amount of radioactive lead remaining after (a)
3
yr, (b)
8
yr, (c)
20
yr. (d) Find the half-life.(a) The amount of radioactive lead remaining after
3
yr will be
enter your response here
g.(Round to the nearest integer as needed.)
Part 2
(b) The amount of radioactive lead remaining after
8
yr will be
enter your response here
g.(Round to the nearest integer as needed.)
Part 3
(c) The amount of radioactive lead remaining after
20
yr will be
enter your response here
g.(Round to the nearest integer as needed.)
(d) The half-life is about
enter your response here
yr.(Round to two decimal places as needed.)
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