A sample of 600g of radioactive lead-210 decays to polonium-210 according to the function AT) = 600e00321 wheretis time in years. Find the amount of radioactive lead remaining after a) 3 yr. (b) 6 yr. (c) 15 yr. (d) Find the hal-life. (a) The amount of radioactive lead remaining after 3 yr will be 181.7 g (Round to the nearest integer as needed) (b) The amount of radioactive lead remaining after 6 yr wil be 82.5 g (Round to the nearest integer as needed) (c) The amount of radioactive lead remaining after 15 yr will be 24 8 g (Round to the nearest integer as needed) (d) The half-ife is about 22 yr. (Round to two decimal places as needed.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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A sample of 600 g of radioactive lead-210 decays to polonium-210 according to the function At) = 600e-00321 wheretis time in years. Find the amount of
radioactive lead remaining after a) 3 yr. (b) 6 yr. (c) 15 yr. (d) Find the hal-life.
(a) The amount of radioactive lead remaining after 3 yr will be 181.7 g
(Round to the nearest integer as needed)
(b) The amount of radioactive lead remaining afler 6 yr will be 82.5 g
(Round to the nearest integer as needed)
(c) The amount of radioactive lead remaining after 15 yr will be 24 8 g
(Round to the nearest integer as needed)
(d) The half-ife is about 22 yr.
(Round to two decimal places as needed.)
Transcribed Image Text:A sample of 600 g of radioactive lead-210 decays to polonium-210 according to the function At) = 600e-00321 wheretis time in years. Find the amount of radioactive lead remaining after a) 3 yr. (b) 6 yr. (c) 15 yr. (d) Find the hal-life. (a) The amount of radioactive lead remaining after 3 yr will be 181.7 g (Round to the nearest integer as needed) (b) The amount of radioactive lead remaining afler 6 yr will be 82.5 g (Round to the nearest integer as needed) (c) The amount of radioactive lead remaining after 15 yr will be 24 8 g (Round to the nearest integer as needed) (d) The half-ife is about 22 yr. (Round to two decimal places as needed.)
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