MAT105: APPLIED LIBERAL ARTS MATHEMATICS Application Assignment 1 The assignment draws mostly on evennumbered exercises from the textbook. Answer all assigned exercises. Point values are listed after each question. Show work where appropriate for full credit. Section 1.1 Problems 12, 22, 34 12. Use inductive reasoning to predict the next line in the pattern. 12 x 10 = 120 12 x 11 = 132 12 x 12 = 144 12 x 13 = 156 (2 pts.) 22. Use inductive reasoning to predict the next three numbers in the pattern. (2 pts.) 5, 3, 1, 1... 34. Four rows of a triangular figure are shown. a. If you added six additional rows to the bottom of this triangle, using the same pattern as displayed, how many triangles would appear in the 10th row? (4 pts.) Copyright 2015 by Thomas Edison State College. All rights reserved. Section 1.3 Problems 18, 20, 22, 52 18. Saving for a Stereo. Fernando Diez works 40 hours per week and makes $8.50 per hour. a.) How much money can he expect to earn in 1 year (52 weeks)? (2 pts.) b.) If he saves all of the money he earns, how long will he have to work to save for a stereo receiver that costs $1275? (2 pts.) 20. Computer Technician David Maliwauki, a computer technician, charges a $25 flat rate plus $30 per hour to repair computers. During one month, his total income from repairing 15 computers was $885. How many hours did he spend repairing computers? (4 pts.) 22. Profit Margins The following chart shows retail stores' average percent profit margin on certain items. Product Category Average Profit Margin (%) Video equipment 12 Audio components 14 Stereo speakers 2025 Copyright 2015 by Thomas Edison State College. All rights reserved. Extended warranties 5060 a. Determine the average profit of a store that has the list price of $620 on a camcorder. (4 pts.) b. Determine the average profit of a store that has a list price of $1200 on a pair of speakers (use a 22% profit margin.) (4 pts.) c. If you negotiate and get the salesperson to sell the speakers for $1000, find the store's profit (use a 22% profit margin.) (4 pts.) 52. Magic Square. Create a 3 x 3 Magic Square by using the numbers 3, 4 ,5, 6, 7 ,8, 9,10, and 11. The sum of the numbers in every column, row, and diagonal must be 21. Feel free to draw this by hand, scan it, and paste your answer into this document if that is easier for you. (4 pts.) Section 2.1 Problems 44, 52, 56, 86 44. Express the set in setbuilder notation. (2 pts.) A = {1, 2, 3, 4, 5, 6, 7, 8, 9} 52. Write a description for the set. {3, 6, 9, 12, 15, 18, ...} (2 pts.) D = 56. Write a description for the set. (2 pts.) E = {x | x N and 4 x < 11} Copyright 2015 by Thomas Edison State College. All rights reserved. 86. Consider the sets A and B below. a. Write a description of set A and set B. (1 pt.) b. Explain the difference between set A and set B. (1 pt.) c. Write set A in roster form. d. Can set B be written in roster form? Explain? Section 2.2 (1 pt.) (1 pt.) Problems 8, 10, 12, 28, 30, 42, 43, 44 For 8 12, answer True or False. If false, give the reason. 8. { pepper, salt } { salt, butter, mayonnaise } (2 pts.) 10. { polar bear, tiger, lion } 12. { c, a, r, t } { t, r, a, c } { tiger, lion, polar bear, penguin } (4 pts.) Copyright 2015 by Thomas Edison State College. All rights reserved. (4 pts.) 28. Determine whether, or if none of these applies. (There may be more than one answer.)( 4 pts.) A = {x | x N and x < 6} B = {x | x N and 1 x 5} 30. Determine whether, (There may be more than one answer.) or if none of these applies. ( 4 pts.) A = { 1, 3, 5, 7, 9 } B = { 3, 9, 5, 7, 6 } For 4244, if the statement is true for all sets A and B, write \"true.\" If it is not true for all sets A and B, write \"false.\" Assume that A , U , and A U. 42.If A B, then A B (4 pts.) 43.A A (4 pts.) 44. A A (4 pts.) Copyright 2015 by Thomas Edison State College. All rights reserved. Sec 2.3 Problems 62, 64, 66, 68, 70, 88, 92 For exercises 6270, let U = {a, b, c, d, e, f, g, h, i, j, k } A = { a, c, d, f, g, i } B = { b, c, d, f, g } C = { a, b, f, i, j } Determine the following: 62. B C (4 pts.) 64. A' B' (4 pts.) 66. (A B) C (4 pts.) 68. A (C' B') (4 pts.) 70. (C B) (A' B) (4 pts.) For exercise 88 and 92, let U = {x | x N and x < 10} A = {x | x N and x is odd and x < 10} B ={x | x N and x is even and x < 10} C = {x | x N and x < 6} Determine the following: 88. (B C)' (4 pts.) Copyright 2015 by Thomas Edison State College. All rights reserved. 92. (A C) B (4 pts.) Copyright 2015 by Thomas Edison State College. All rights reserved