A company has installed new machinery that will produce a savings rate (in thousands of dollars per year) of S'(x) = 225-x^2, where x is the number of years the machinery is to be use. The rate of additional costs (in thousands of dollars per year) is expected to be C'(x) = x^2-25x+150. For how many years should the company use the new machinery? Find the net savings (in thousands of dollars) over this period.

After 15 years the use of said machine is no longer profitable

Step-by-step explanation:

it should be used, as long as the money generated is not smaller as the costs generated. By setting both formulas equal (calculating the x value for when they are equal) you get x = 15 and x = -2.5(which doesnt make sense in this context).

6. 104

7. 52/37

8. 2704

9. 140608

10. -52

11. |52|=52

12. 1/52

13. 156

14. 26

15. 40

16. 37

17. -364

18. 53 1/3

19. 50.96

20. 43 2/3

21. 78

22. 50.75

23. 47.63

24. 163.28

25. 10400

26. 338

27. 208

28. 2704 square inches

29. 312 square meters

30. don't know what its asking, tell me so i can tell you

31. 8490.56

32. 52 degrees would be an acute angle

33. 128 degrees

34. 20.8

35. 39

36. 208

this is a good question! i’ll do some research and what i find, i’ll contact you asap when i have something! ✊