Answer:
the artifact was made about 8679 years ago
Step-by-step explanation:
Given the data in the question;
we know that, The half-life of carbon-14 is 5730 years.
Now using the following equation;
Final amount = (initial amount) [tex]([/tex]0.5[tex])^{(number of years/half-life)[/tex]
given that the tomb contains 35 percent of the carbon-14
meaning final amount / initial amount = 35% = 0.35
hence, from the equation;
0.35 = [tex]( 0.5 )^{ x/5730[/tex]
x = 5730 ln(0.35) / ln(0.5 )
x = 8678.5 ≈ 8679 years
Therefore, the artifact was made about 8679 years ago
