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

question 162

Multiple Choice

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) \(31.3 \%\)

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