approximate age of the artifact using carbon decay

In the formula A=I e^(kt),
A is the amount of material remaining from an initial amount I at a given time t and k is negative constant determined by the nature of the material.
If it has 53% of the carbon it originally contained, what is the approximate age of the artifact? (carbon decays @ a rate of 0.0125% annually.) Round to the nearest year.

What formula do I use??
4240 yr
5079 yr
2206 yr
3760 yr

Solution Summary

The solution shows how to calculate the age of the artifact using logarithmic and exponential decay.

The equation for radioactive decay is: N(t) = Noe-kt, where No is the initial number of radioactive atoms, N(t) is the number of radioactive atoms left after a time t, and k is thedecay constant. The half-life of carbon 14 is about 5730 years.
Radioactive carbon dating makes the assumption that living things absorb carbon 14

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Note: No tables or attachments for this problem.