Answers To Practice Problems For Final Exam

  1. 1071 miles
  2. $2142.86

  3. Onion Price: $0.19 per pound

    Conversion:0.00465 francs per drachma

  4. The afternoon movie is $2.50 or 42% less than the late movie. The late movie is $2.50 or 71% more than the afternoon movie.
  5. 28% more than; 5.5% more than

  6. 19%; 25%
    1. $1405.90 \frac{g}{cm^2}$
    2. $0.008765 km$
    3. $0.04 cm^3$
    4. $262.144 km^3$

  8. 84.52 ft.
  9. a) True; b) 240% c) 41.67% d) True

  10. Holds 54,4554 cubic feet of grain; 980 gallons to paint the silo; 2 gallons for little Bobby.

  11. Bank A
  12. $11.903.13
  13. $8538.98
  14. $143.23
  15. a) $898.16 b) 58%
  16. a) $12,625.50 b) $13,874.17
  17. 11 years and 7 months
  18. 3 years and 11 months
  19. 7 years; 1 year and 4 months longer or 19% longer
  20. constant; decreasing; increasing; constant
  21. $P = 3*(1.032)^t$ where P = population in millions of people and t = time in years. P = 9 million people in 2025. T$_{double}$ = 22 years.
  22. L = -2.8*t + 20 where L is length of candle of the candle in cm and t is the time burning in hours. It was 20 cm to start. It can burn 7 hours, 8 minutes and 34 seconds.
  23. Enrollment is increasing at a constant relative rate of 2.5% per year
  24. $C_{FR} = 0.07*M + 30$ where $C_{FR}$ is the cost per day at Friendly Rentals and M is mileage per day. $C_{CR} = 0.30*M + 20$ where $C_{CR}$ is the cost per day at Cheapskate Rentals and M is mileage per day. If you drive over 37 miles a day, Friendly's is the better deal. If not, Cheapskates is.
  25. 10,523 years old
  26. N = 0.89*t + 7 where N and t are a given in the plot. 0.89 means that every nine months 8 new people hear about the restuarant, and only 7 people new about it when it opened.
  27. P = 30,000*2$^{t/15}$ where P = population of the town in people and t is time in years from 1980. P = 75,596 in 2000. P = 100,000 in 2006. percentage rate is 4.7%
  28. A$_{left}$ = 71.14 cm$^2$ P$_{left}$ = 43.91 cm; A$_{right}$ = 1.48 in$^2$ P$_{right}$ = 6.35 in
  29. floor space (actual) = 437500 in$^2$ = 3038 ft$^2$; pool volume (model) = 221 in$^3$