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(

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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?
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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