6. (1 point) Human hair from a grave in Africa proved to have only 76% of the carbon 14 of living tissue. If the half-life of carbon 14 is 5730 years, determine how long ago the body was buried. Answer: years ago. 7. (1 point) A bacteria culture starts with 700 bacteria and grows at a rate proportional to its size P(). After 6 hours, there are 5000 bacteria. (a) Find an expression for the number of bacteria after f hours. P(t) (b) Find the number of bacteria after 7 hours. P(7)= bacteria (c) Find the growth rate after 7 hours. bacteria/hour (d) After how many hours will the population reach 30000? hours 8. (1 point) Determine the value of $700 in 4 years if it's invested at 10% compounded: (a) Quarterly Answer: $ (b) Continuously Answer: $