14 grams of a radioactive substance decays to 9 grams in 300 years. (That's a long experiment!) Let S (t) be the number of grams remaining after t years. Write down the simplest exact formula for S (t) if this function obeys our model S' (t) = kS (t) for some constant k specific to the substance. S (t) Write down an exact formula for S (t) using the standard base-e exponential function. Use "log" for the natural logarithm function. S (t): What is the half-life of the substance in years?
14 grams of a radioactive substance decays to 9 grams in 300 years. (That's a long experiment!) Let S (t) be the number of grams remaining after t years. Write down the simplest exact formula for S (t) if this function obeys our model S' (t) = kS (t) for some constant k specific to the substance. S (t) Write down an exact formula for S (t) using the standard base-e exponential function. Use "log" for the natural logarithm function. S (t): What is the half-life of the substance in years?
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
Section: Chapter Questions
Problem 13CC
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