SOLUTION: 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, th

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Question 1194668: 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 92% of the original amount D0. (Round your answer to the nearest whole number.)
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
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 92% of the original amount D0. (Round your answer to the nearest whole number.)
~~~~~~~~~~~~~~~~~ 


The problem says that the amount D of the Carbon-14 remaining in the artifact
is 92%, or 0.92, of the original amount D0.


In other words, according to the problem, D/D0 = 0.92.


Having it, apply the given formula: the age of the artifact is

    A =  =  = use your calculator = 688.5 years = 690 years (ap-proximately.

Solved.

----------------

On radioactive Carbon-14 dating,  read and learn from the lessons
    - Using logarithms to solve real world problems
    - Radioactive decay problems
    - Carbon dating problems
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Logarithms".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.




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