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(

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(7384) (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
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