# SOLUTION: Strontium–90 has a half-life of 29 years. How long will it take for an initial sample of 10 mg to decay to 1 mg? Do I use the formula A= Ao(1/2)^t/h If yes I come up with 1=10(

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Strontium–90 has a half-life of 29 years. How long will it take for an initial sample of 10 mg to decay to 1 mg? Do I use the formula A= Ao(1/2)^t/h If yes I come up with 1=10(      Log On

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 Question 260017: Strontium–90 has a half-life of 29 years. How long will it take for an initial sample of 10 mg to decay to 1 mg? Do I use the formula A= Ao(1/2)^t/h If yes I come up with 1=10(1/2)^t/29 which ends up to be wrong. So how do I proceed? Please HELP!!!Answer by nerdybill(7008)   (Show Source): You can put this solution on YOUR website!Strontium–90 has a half-life of 29 years. How long will it take for an initial sample of 10 mg to decay to 1 mg? . You can apply the general "exponential decay" modeled by: Where A is the final amount I is the initial amount k is a constant t is time . Plugging in your given information to first find k: . Now, your actual model is: . And we can use to to answer your question. How long will it take for an initial sample of 10 mg to decay to 1 mg? 96.34 yrs = t