MAT-105: APPLIED LIBERAL ARTS MATHEMATICS Application Assignment 1 The assignmen
ID: 3008069 • Letter: M
Question
MAT-105: APPLIED LIBERAL ARTS MATHEMATICS
Application Assignment 1
The assignment draws mostly on even-numbered 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. (2 pts.)
12 x 10 = 120
12 x 11 = 132
12 x 12 = 144
12 x 13 = 156
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.
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.)
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 20-25
Extended warranties 50-60
Determine the average profit of a store that has the list price of $620 on a camcorder.
(4 pts.)
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 set-builder notation. (2 pts.)
A = {1, 2, 3, 4, 5, 6, 7, 8, 9}
52. Write a description for the set. (2 pts.)
D = {3, 6, 9, 12, 15, 18, …}
56. Write a description for the set. (2 pts.)
E = {x | x N and 4 x < 11}
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. (1 pt.)
d. Can set B be written in roster form? Explain? (1 pt.)
Section 2.2 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 } { tiger, lion, polar bear, penguin } (4 pts.)
12. { c, a, r, t } { t, r, a, c } (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, or if none of these applies. (There may be more than one answer.) ( 4 pts.)
A = { 1, 3, 5, 7, 9 }
B = { 3, 9, 5, 7, 6 }
For 42-44, 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.)
Sec 2.3 Problems 62, 64, 66, 68, 70, 88, 92
For exercises 62-70, 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.)
92. (A C) B (4 pts.)
Explanation / Answer
Post more question to get the remaining answers
12)
Next Line in the pattern
12X14 = 168
22)
Since the series is an AP with Common difference = -2
Hence next two terms in the series -1-2,-3-2 which are -3 and -5
18)
Money earn in 52 weeks = 52 * 40 * 8.50 = 17680$
b) Money he need to save for stereo is $1275
$1275 = 40 * 8.50 * x
Hence x = 3.75
Hence he need to save money for 4 weeks in order to purchase the radio
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