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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?
You can apply the general "exponential decay" modeled by:
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