Know: Exponentials and Logarithms Analysis: Let t = number of half lives Let A = amount of isotope after t years A=200(0.5A=50 grams left Simplify Another Example: What is the half life of Isotope Y if it decays to 27% of its original amount in 100 years?
Given:300 year half life900 years Original 200g Want: How much is left after 900 years?
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Use the given want know analysis format to solve these word problems. This formula is quite accurate in predicting continuously compounded interest, where A is the amount of money in the account after P amount of principle money has been in the account at rate r for t years.
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