Solve the Problem $\mathrm { A } =$ Iekt $\mathrm { A }$

Multiple Choice

Solve the problem.
-In the formula $\mathrm { A } =$ Iekt, $\mathrm { A }$ is the amount of radioactive material remaining from an initial amount I at a given time $t$ and $\mathrm { k }$ is a negative constant determined by the nature of the material. An artifact is discovered at a certain site. If it has $54 \%$ 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.)

A) $2141 \mathrm { yr }$
B) $4320 \mathrm { yr }$
C) $3680 \mathrm { yr }$
D) $4929 \mathrm { yr }$