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.)
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<pre>
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 = {{{-8257*ln(D/D0)}}} = {{{-8257*ln(0.92)}}} = use your calculator = 688.5 years = 690 years (ap-proximately.
</pre>

Solved.


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On radioactive Carbon-14 dating, &nbsp;read and learn from the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/logarithm/Using-logarithms-to-solve-real-world-problems.lesson>Using logarithms to solve real world problems</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/logarithm/Radioactive-decay-problems.lesson>Radioactive decay problems</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/logarithm/Carbon-dating-problems.lesson>Carbon dating problems</A> 

in this site.


Also, &nbsp;you have this free of charge online textbook in ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


The referred lessons are the part of this online textbook under the topic "<U>Logarithms</U>".



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.