9. [-/2 Points] DETAILS MY NOTES ASK YOUR TEACHER Carbon-14 is used to date objects. An arrowhead was found to have three-fourths of its original amount of Carbon-14 remaining. Figure out how old the arrowhead is as follows: a. Use the result of the previous problem to write a formula for the amount Carbon-14 that remains after time t if an initial is Q. Q(t) = b. Use the information in this problem to write an equation. Your equation must contain a Q- c. Solve the equation for t to find the age of the arrow head. Round answer to the nearest year. years 10. [-/2 Points] DETAILS MY NOTES ASK YOUR TEACHER A group of Boise State students decide to see how quickly a juicy rumor moves across campus. They discover though experimentation that the number of students, B(t), who know the rumor after t days can be approximated by the function 10,000 B(t) = 1 + 499e-5t a. What was the number of students who started the rumor (t = 0)? Students b. What was the number of students who knew the rumor at time t = 0.25 (6 hours)? Students c. What was the number of students who knew the rumor at time t = 1 (24 hours)? Students d. How fast is the rumor growing 24 hours after it was started? Students/day e. How fast is the rumor growing 2 days after it was started? Students/day f. Find the following limit: lim B(t) = Students t-00 Discussion Point: What does this limit mean in the context of this problem? g. Below is the graph of B(t)