Sunday

September 21, 2014

September 21, 2014

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

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 9:03amYou are solving

.72 = 1(e^(-.0125t)

ln .72= ln (e^(-.0125t))

-.0125t = ln .72

t = ln.72/-.0125 = appr. 26.28 years

- algebra 2 -
**Inu**, Thursday, June 20, 2013 at 12:25amradioactive=decay

convert % to decimal.

72%=0.72, 0.0125%=0.000125

A=Aoe^-kt

0.72A=Aoe^-0.000125t

0.72=e^-0.000125t

ln 0.72=ln e^-0.000125t

ln 0.72=-0.000125t

ln 0.72/-0.000125=t

t=2628

**Answer this Question**

**Related Questions**

calculus - Carbon-14 is a radioactive substance produced in the Earth's ...

Algebra 2 help... - A half life of a certain radioactive is 36 days. An initial ...

Calculus - The radioactive element polonium decays according to the law given ...

Algebra please check my answers - 1) The linear function f(x) contains the ...

math - i have this question and im not sure how to do it i keep getting stuck ...

pre calculus - The age of a document is in dispute, so archaeologists test for ...

precalc - I am really struggling with a bunch of problems. Any help with any of ...

Algebra I - A sample of radioactive material weighing 45 grams has a decay rate ...

Math/Radioactive Dating - How would I calculate the age of a rock only given the...

Math - D.E.Q. - The half-life of a radioactive isotope is the amount of time it ...