The half-life of cesium-137 is 30 years. Suppose we have a 700-mg sample. a) Find the mass that remains after t years. m(t): = 700e^(-.023104906t) b) How much of the sample remains after 190 years? c) After how long will only 9 mg remain?

The half-life of cesium-137 is 30 years. Suppose we have a 700-mg sample. a) Find the mass that remains after t years. m(t): = 700e^(-.023104906t) b) How much of the sample remains after 190 years? c) After how long will only 9 mg remain?

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter5: Exponential And Logarithmic Functions

Section5.CR: Chapter Review

Problem 15E: The half-life of a radioactive material is about 34.2 years. How much of the material is left after...

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Question

I got the first part right but need help with the other questions

The half-life of cesium-137 is 30 years. Suppose we have a 700-mg sample.
a) Find the mass that remains after t years. m(t)
= 700e^(-.023104906t)
b) How much of the sample remains after 190 years?
c) After how long will only 9 mg remain?

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