The age of an ancient artifact can be determined by the amount of radioactive ca

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The age of an ancient artifact can be determined by the amount of radioactive carbon-14 remaining in it. If D0 is the original amount of carbon-14 and D is the amount remaining, then the artifact's age A (in years) is given by
A = −8267 ln
D
D0
.
Find the age of an object if the amount D of carbon-14 that remains in the object is 84% of the original amount D0. (Round your answer to the nearest whole number.)

A =  yr

Oct 20th, 2017

Thank you for the opportunity to help you with your question!

So we use the above given formula and we need to enter 0.84Do in place of D because D is equal to 84% of the original amount Do. Then we would have:

A = -8267*ln(D/Do)  --------> A = -8267*ln(0.84Do/Do). The Do's cancels out leaving just 0.84 as the argument of the ln.

A = -8267*ln(0.84) = 1441.38  years

A = 1441 years

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 17th, 2015

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