A Sample Contains 75 Grams of Carbon $\left( { } ^ { 14 } C \right) . { } ^ { 14 } C$

Multiple Choice

A sample contains 75 grams of carbon $\left( { } ^ { 14 } C \right) . { } ^ { 14 } C$ has a half-life of 5715 years. How much ${ } ^ { 14 } \mathrm { C }$ remains after 100 years? Round your answer to three decimal places.

A) $73.688$ grams
B) $74.096$ grams
C) $49.524$ grams
D) $1.312$ grams
E) $37.524$ grams