Carbon-14 sa radioactive element with a half-afe of about 5,730 years. Carbon-14 is said to decay exponentialy. The decay rate is 0.000121. We start with one gram of cartbon- 14. We are interested in...

Extracted text: Carbon-14 sa radioactive element with a half-afe of about 5,730 years. Carbon-14 is said to decay exponentialy. The decay rate is 0.000121. We start with one gram of cartbon- 14. We are interested in the time (years) it takes to decay carbon-14. Find the percentage of carben-14 lasting longer than 15,000 years. (0) Sketch the graph, and shade the area of interest. G.00014 0.8 0.00012 0.00010 0.6 0.00008 0.00000 04 0.00004 0.00002 0.2 s000 10000 15000 20000 3000 10000 13000 20000 1.0 0.00014 0.00012 0.8 0.00010 0.6 0.00008 0.00006 04 0.00004 0.00002 02 5000 10 000 15000 20 000 5000 10 000 15 000 20 000 (b) Find the probability. (Round your answer to four decimal places.) P15,000) -