SOLUTION: I need some help in solving this problem step by step. I really don't understand it. The formula to be used is: P(t)= Poe-kt, k>o. The question states, "Archaeology soil from benea

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Question 327422: I need some help in solving this problem step by step. I really don't understand it. The formula to be used is: P(t)= Poe-kt, k>o. The question states, "Archaeology soil from beneath the Kish Church in Azerbaijan was found to have lost 12% of its carbon-14. How old was the soil?" I would appreaciate it. Thanks you very much!
Answer by galactus(183)   (Show Source): You can put this solution on YOUR website!
There is not enough info given. You need the decay constant, k.
Fortunately, we know that the half-life of Carbon-14 is about 5750 years.
There is a formula for half-life, k=-ln(2)/T. In this case, T=5750.
This means
If 12% is gone, then 88% remains.
So, we have:

The P's cancel and we have:


years.

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