Homework Help: algebra 2

Posted by sky on Wednesday, July 13, 2011 at 12:43am.

In the formula A(t) = A0ekt, A is the amount of radioactive material remaining from an
initial amount A0 at a given time t, and k is a negative constant determined by the nature
of the material. An artifact is discovered at a certain site. If it has 72% of the carbon-14 it
originally contained, what is the approximate age of the artifact? (carbon-14 decays at the
rate of 0.0125% annually.) (Round to the nearest year.)

algebra 2 - Reiny, Wednesday, July 13, 2011 at 9:03am
You are solving

.72 = 1(e^(-.0125t)
ln .72= ln (e^(-.0125t))
-.0125t = ln .72
t = ln.72/-.0125 = appr. 26.28 years

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