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Study Guides > MATH 1314: College Algebra

Solutions to Selected Exercises

Solutions to Try Its

1. 11 and 25 2. [latex]C=2.5x+3,650[/latex] 3. 45 mi/h 4. [latex]L=37[/latex] cm, [latex]W=18[/latex] cm 5. 250 ft2

Solutions to Odd-Numbered Exercises

1. Answers may vary. Possible answers: We should define in words what our variable is representing. We should declare the variable. A heading. 3. [latex]2,000-x[/latex] 5. [latex]v+10[/latex] 7. Ann: [latex]23[/latex]; Beth: [latex]46[/latex] 9. [latex]20+0.05m[/latex] 11. 300 min 13. [latex]90+40P[/latex] 15. 6 devices 17. [latex]50,000-x[/latex] 19. 4 h 21. She traveled for 2 h at 20 mi/h, or 40 miles. 23. $5,000 at 8% and $15,000 at 12% 25. [latex]B=100+.05x[/latex] 27. Plan A 29. [latex]R=9[/latex] 31. [latex]r=\frac{4}{5}[/latex] or 0.8 33. [latex]W=\frac{P - 2L}{2}=\frac{58 - 2\left(15\right)}{2}=14[/latex] 35. [latex]f=\frac{pq}{p+q}=\frac{8\left(13\right)}{8+13}=\frac{104}{21}[/latex] 37. [latex]m=\frac{-5}{4}[/latex] 39. [latex]h=\frac{2A}{{b}_{1}+{b}_{2}}[/latex] 41. length = 360 ft; width = 160 ft 43. 405 mi 45. [latex]A=88\text{ in}{.}^{2}[/latex] 47. 28.7 49. [latex]h=\frac{V}{\pi {r}^{2}}[/latex] 51. [latex]r=\sqrt{\frac{V}{\pi h}}[/latex] 53. [latex]C=12\pi [/latex]

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