8. [-/3 Points] DETAILS TANAPCALC10 5.1.501.XP. MY NOTES PRACTICE Employers are increasingly turning to GPS (global positioning system) technology to keep track of their fleet vehicles. The estimated number of automatic vehicle trackers installed on fleet vehicles in the United States is approximated by N(t) = 0.64e0.21t (0 sts9) where N(t) is measured in millions and t is measured in years, with t = 0 corresponding to the year 2000. (a) What was the number (in millions) of automatic vehicle trackers installed in the year 2000? How many were projected to be installed in 2005? (Round your answers to two decimal places.) 2000 million trackers 2005 million trackers (b) Sketch the graph of N. Z N Z Z 4 2 2 2 2 t -6 -4 -2 2 4 6 -6 -4 2 4 6 -4 - 2 -6 -4 -2 2 4 -2 -2 -2 -2 -4 -4 -4 -4 -6 - 6 -6 O9. [-I5 Points] TANAPCALC10 5.1.502.XP. Because of medical technology advances, the disability rates for people over 65 years old have been dropping rather dramatically. The function R(t) = 25.5e'0-015' (o s r s 13) gives the disability rate R(t), in percent, for people over age 65 from 1982 (t = 0) through 2000, where t is measured in years. (a) What was the disability rate in 1982? In 1989? In 1992? In 2000? (RDund your answers to one decimal place.) 1932 % 1989 \"In 1992 "In 2000 \"In (h) Sketch the graph of R. R R R 30 25 20 15 10 5 10 15 20 Q o 5 10 15 10. [-l5 Points] DETAILS TANAPCALC10 5.R.051. Demand for DVD Players VCA Television found that the monthly demand for its new line of DVD players t months after placing the players on the market is given by D(t) = 5,000 emcee\"'1'\" (t 2 0). Gmph this function and answer the following questions. D D D D 8000 B000 5000 3000 5000 5000 5000 5000 4000 4000 4000 4000 2000 2000 2000 2000 t I t I t I O 20 40 60 80 100 (D O 20 40 60 80 100 0 20 40 60 80 100 0 20 40 60 80 100 (a) What was the demand (in units) after the following periods of time? (Round your answers to the nearest integer.) 1 month E units 1 year E units 2 years E units (b) At what level (in units) is the demand expected to stabilize? (Round your answer to the nearest integer.)