Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 100 mg of radium decomposes to 96 mg. How many mg will be left after 100 years? VALUE OF C = In 100 ( 4.6052) VALUE OF k = -0.0004082 Amount of radium left = 88.48 mg VALUE OF C = In 100 ( 4.6052) VALUE OF k = -0.0004082 Amount of radium left = 92.16 %3D mg VALUE OF C = In 100 ( 4.6052) VALUE OF k = -0.0004082 Amount of radium left = 90.30 %3D mg VALUE OF C = In 100 ( 4.6052) VALUE OF k = -0.0004082 Amount of radium left = 94.06 mg

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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Radium decomposes at a rate proportional to
the amount at any instant. In 100 years, 100 mg
of radium decomposes to 96 mg. How many
mg will be left after 100 years?
VALUE OF C = In 100 ( 4.6052)
%3D
VALUE OF k = -0.0004082
Amount of radium left
= 88.48
mg
VALUE OF C = In 100 ( 4.6052)
VALUE OF k = -0.0004082
Amount of radium left = 92.16
%3D
mg
VALUE OF C = In 100 ( 4.6052)
VALUE OF k = -0.0004082
Amount of radium left = 90.30
mg
VALUE OF C = In 100 ( 4.6052)
VALUE OF k = -0.0004082
Amount of radium left = 94.06
mg
Transcribed Image Text:Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 100 mg of radium decomposes to 96 mg. How many mg will be left after 100 years? VALUE OF C = In 100 ( 4.6052) %3D VALUE OF k = -0.0004082 Amount of radium left = 88.48 mg VALUE OF C = In 100 ( 4.6052) VALUE OF k = -0.0004082 Amount of radium left = 92.16 %3D mg VALUE OF C = In 100 ( 4.6052) VALUE OF k = -0.0004082 Amount of radium left = 90.30 mg VALUE OF C = In 100 ( 4.6052) VALUE OF k = -0.0004082 Amount of radium left = 94.06 mg
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