By Soo T. Tan
Market-leading utilized arithmetic FOR THE MANAGERIAL, existence, AND SOCIAL SCIENCES, fifth version, is a standard textual content with a touch glossy suppose. This new version comprises expertise in this type of method that either conventional and glossy practitioners locate the aid they should educate successfully. carrying on with its culture of mathematical accuracy, the hot 5th variation teaches through software and makes use of actual and reasonable examples to inspire scholars. It combines stable thought with leading edge studying instruments, incorporates a strong complement package deal, and provides unequalled flexibility that makes the path effortless to educate. available for majors and non-majors alike, the ebook makes use of an intuitive process that introduces summary options via examples drawn from universal, real-life reviews to which scholars can relate. It additionally attracts functions from readers' fields of curiosity. furthermore, insightful Portfolios spotlight the careers of genuine humans and speak about how they comprise math into their specialist lives. a number of routines be sure scholars have a fantastic figuring out of textual content thoughts earlier than advancing to the following subject. Bringing robust assets to scholars' fingertips, the text's interesting array of supplements--including superior WebAssign, answer movies, and private Tutor--equips scholars with large studying help to aid them maximize their examine time.
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Extra resources for Applied Mathematics: For the Managerial, Life, and Social Sciences, Fifth Edition
6x 2 6. 3y 4 7. x2 ϩ x Ϫ 2 x 2 ϩ 3x ϩ 2 18y 2 12m Ϫ 6 18m Ϫ 9 8y 2 4y 3 Ϫ 4y 2 ϩ 8y 9. 11. x2 Ϫ 4 2x 2 Ϫ x Ϫ 6 x3 ϩ y3 x Ϫ xy ϩ y 2 2 8. 10. 12. 4 RATIONAL EXPRESSIONS In Exercises 13–46, perform the indicated operations and simplify. 13. 15. 6x 3 32 3x # 8 3x 3 8x 2 Ϭ 3x 17. x ϩ 2y 14. 2 15x 4 16. 16x 5 # 22. 23. 24. 25. 27. 28. 29. 30. 6r 2 Ϫ r Ϫ 2 2r ϩ 4 k ϪkϪ6 # 2x2 2 Ϭ 4 x Ϫ9 2 Ϫ 35. 3y Ϫ 6 6y ϩ 24 20. Ϭ 4y ϩ 6 8y ϩ 12 36. 37. ϪxϪ6 y ϩ y Ϫ1 2 x x ϩ 5x ϩ 6 2x ϩ 1 2x 2 Ϫ x Ϫ 1 ϩ Ϫ 2 x Ϫ4 2 26.
2k 2 Ϫ 4 ϭ 4 Ϫ k 36. 24k 2 Ϫ 3 ϭ 2k ϩ 1 37. 2k ϩ 1 ϩ 2k ϭ 3 2k 38. 2x ϩ 1 Ϫ 2x ϭ 24x Ϫ 3 In Exercises 39–46, solve the equation for the indicated variable. 39. I ϭ Prt; r 40. ax ϩ by ϩ c ϭ 0; y 41. p ϭ Ϫ3q ϩ 1; q s2 ;u ax ;x xϩb 44. V ϭ C a 1 Ϫ 2mI ;m B1n ϩ 12 46. r ϭ 43. V ϭ 45. r ϭ 42. w ϭ ku√ n b; n N 2mI ;n B1n ϩ 12 47. SIMPLE INTEREST The simple interest I (in dollars) earned when P dollars is invested for a term of t yr is given by I ϭ Prt, where r is the (simple) interest rate/year. Solve for t in terms of I, P, and r.
Factor this expression. 2 4 35. (a Ϫ 2b)2 Ϫ (a ϩ 2b)2 Factor this expression. 3 36. 2x(x ϩ y)2 Ϫ 8x(x ϩ y 2)2 58. 1x 2 ϩ 500x dollars. Factor the expression on the right-hand side of this equation. 3 Solutions to Self-Check Exercises 1. a. The common factor is 2x 2. Therefore, b. We first factor out the common factor 2. Thus, 4x 2 ϩ 10x Ϫ 6 ϭ 2(2x 2 ϩ 5x Ϫ 3) 4x Ϫ 2x ϭ 2x (2x Ϫ 1) 3 2 2 b. The common factor is a2 ϩ 2b2. Therefore, 3(a ϩ 2b ) ϩ 4(a ϩ 2b ) ϭ (a ϩ 2b )[3 ϩ 4(a ϩ 2b )] 2 2 2 2 2 2 2 2 2 ϭ (a2 ϩ 2b2)(3 ϩ 4a2 ϩ 8b2) 2.
Applied Mathematics: For the Managerial, Life, and Social Sciences, Fifth Edition by Soo T. Tan