The Amount of a Sample of a Radioactive Substance Remaining $Q ( t ) = Q _ { 0 } e ^ { - k t }$

Multiple Choice

The amount of a sample of a radioactive substance remaining after t years is given to be a function of the form $Q ( t ) = Q _ { 0 } e ^ { - k t }$ . If 100 grams remain after 1,000 years and 90 grams after 2,000 years, what is the initial amount $Q _ { 0 }$ ? Round your answer to two decimal places.

A) 110.21 grams
B) 110.83 grams
C) 111.11 grams
D) 111.49 grams