Homework Help: algebra

Posted by Anonymous on Saturday, February 18, 2012 at 6:49pm.

An artifact was found and tested for its carbon-14 content. If 84% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? Use that carbon-14 has a half-life of 5,730 years.

algebra - Reiny, Saturday, February 18, 2012 at 9:09pm
.84 = 1(.5)^(t/5730)
ln .84 = ln (.5^(t/5730) )
ln .84 = (t/5730) ln .5
t/5730 = ln .84/ln .5 = .251538767
t = 1441.317

to the nearest 100 years it would be 1400 years
algebra - Anonymous, Sunday, February 19, 2012 at 7:59pm
where did you get ,5 from?

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