Carbon 14 has a half-life of 5,700 years. For a sample that originally contained 10" carbon 14 atoms, which of the following best expresses the rate at which the carbon 14 atoms are decaying, expressed in atoms per year, after 5,700 years have passed? O A. 30 atoms per year O B. 61 atoms per year O C. 88 atoms per year O D. 122 atoms per year O E. 175 atoms per yearCoffee in a mug, initially at 160 F and sitting in a room at 70 F, has cooled for 10 minutes and now has a temperature of 100 F. Assuming Newton's Law of Cooling applies, what is the rate at which the temperature is now dropping? O A. 3.30 F per minute 0 B. 4.0\" F per minute 0 C. 4.60 F per minute 0 D. 5.30 F per minute 0 E. (-3.00 F per minute Suppose you deposit $10,000 into an account with 5% interest compounded continuously. Which of the following best represents the balance after five years have passed? 0 A. $12,500 0 B. $12,630 0 C. $12,760 0 D. $12,800 0 E. $12,840 Which of the following represents the total distance traveled during the time interval a