Carbon-14 Dating An exponential decay function canbe used to model the number of grams of a radioactivematerial that remain after a period of time. Carbon-14decays over time, with the amount remaining aftert years given by y = y0 e-0.00012097t, where y0 is theoriginal amount. If the original amount of carbon-14is 200 grams, find the number of years until 155.6grams of carbon-14 remain.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.6: Modeling With Exponential Functions
Problem 22E
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Carbon-14 Dating An exponential decay function can
be used to model the number of grams of a radioactive
material that remain after a period of time. Carbon-14
decays over time, with the amount remaining after
t years given by y = y0 e-0.00012097t
, where y0 is the
original amount. If the original amount of carbon-14
is 200 grams, find the number of years until 155.6
grams of carbon-14 remain.

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