Solve the problem.
-Carbon dating determines the approximate age of an object made from materials that were once alive by measuring the remaining percentage of a radioactive isotope, carbon-14. The age is calculated using the formula
$$A = - \frac { \ln P } { 0.000121 }$$
where $P$ is the percentage of remaining carbon-14 (in decimal form). A specimen is determined to be 2,800 years old. What is the percentage of remaining carbon-14? Round to the nearest tenth of a percent.
A) $71.3 \%$
B) $51.3 \%$
C) $84.3 \%$
D) $31.3 \%$

Question

Quizplus · Accepted Answer

To find the percentage of remaining carbon-14, we substitute $A = 2800$ years into the given formula and solve for $P$. The formula becomes $2800 = - \frac { \ln P } { 0.000121 }$. Solving for $P$ gives $P \approx 0.713$ or $71.3\%$.

Solve the Problem A=−ln⁡P0.000121A = - \frac { \ln P } { 0.000121 }A=−0.000121lnP​

Solve the Problem $A = - \frac { \ln P } { 0.000121 }$