Posted by Yvonne on Monday, April 16, 2012 at 2:14pm.
An artifact was found and tested for its carbon14 content. If 88% of the original carbon14 was still present, what is its probable age (to the nearest 100 years)? Use that carbon14 has a halflife of 5,730 years.

College Math  Steve, Monday, April 16, 2012 at 3:42pm
If you start with amount P, then after t years, R, the fraction remaining, is
R = 2^(t/5730)
See how that works? Every 5730 years, the power of 2 goes down by 1.
2^(t/5730) = .88
t/5730 = ln(.88)/ln(2) = −0.321928095
t = 5730 * 0.321928095
t = 1844.64798435
or, to the nearest 100 years, 1800.
Answer This Question
Related Questions
 math  An artifact was found and tested for its carbon14 content. If 83% of the...
 math  An artifact was found and tested for its carbon14 content. If 83% of the...
 math  An artifact was found and tested for its carbon14 content. If 76% of the...
 math  An artifact was found and tested for its carbon14 content. If 81% of the...
 math  An artifact was found and tested for its carbon14 content. If 88% of the...
 Math  An artifact was found and tested for its carbon14 content. If 88% of the...
 algebra  An artifact was found and tested for its carbon14 content. If 84% of ...
 algebra  An artifact was found and tested for its carbon14 content. If 84% of ...
 algebra  An artifact was found and tested for its carbon14 content. If 79% of ...
 Algebra  An artifact was found and tested for its carbon14 content. If 77% of ...
More Related Questions