Radioactive carbon, ${}^{14}\mathrm{C}$ , has a has a half-life of 5730 years. After 1000 years, 3.7 grams remain. What was the initial quantity of ${}^{14}\mathrm{C}$ ? Round your answer to two decimal places.

A) 4.18 grams
B) 3.90 grams
C) 4.35 grams
D) 6.98 grams
E) 3.94 grams