ATILIM UNIVERSITY DEPARTMENT OF MATHEMATICS Math 211 - Discrete Mathematics with Applications 2010-2011 Fall Semester Problem Set I Prepared by Mehmet TURAN O−‚ Ω−‚ Θ− Notations 1. Let f and g be real valued functions defined on the same set of nonnegative real numbers. (a) Prove that if g(x) is O(f (x))‚ then f (x) is Ω(g(x)). (b) Prove that if f (x) is O(g(x)) and c is any nonzero ral number‚ then cf (x) is O(cg(x)). (c) Prove that if f (x) is O(h(x)) and g(x) is O(k(x))‚ then f (x) + g(x) is
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I. NATURE OF THE CONTEST The Metrobank-MTAP-DepEd Math Challenge is a Mathematics competition for elementary and secondary students in both public and private schools nationwide. It is implemented by the Metrobank Foundation‚ Inc. (MBFI)‚ the Mathematics Teachers Association of the Philippines (MTAP) and the Department of Education (DepEd). II. OBJECTIVES The overall objective of the Metrobank-MTAP-DepEd Math Challenge is to contribute in improving the quality of mathematics education
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BE 13.8 Vertical analysis (common-size) percentages for Vallejo Company’s sales‚ cost of goods sold‚ and expenses are listed below: VERTICAL ANALYSIS 2012 2011 2010 Sales 100.0% 100.0% 100.0% Cost of goods sold 60.5 62.9 64.8 Expenses 26.0 26.6 27.5 Net Income 13.5 10.5 7.7 Did Vallejo’s net income as a percent of sales increase‚ decrease‚ or remain unchanged over the 3 year period. Provide numerical support for your answer. Sales – Cost of Goods Sold – Expenses = Net Income 100 – 64.8
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Chapter 7 Business Ethics Fundamentals LEARNING OUTCOMES After studying this chapter‚ you should be able to: 1. Describe how the public regards business ethics. 2. Define business ethics and appreciate the complexities of making ethical judgments. 3. Explain the conventional approach to business ethics. 4. Analyze economic‚ legal‚ and ethical aspects by using a Venn model. 5. Enumerate and discuss the four important ethics questions. 6. Identify and explain three models of management
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Business mathematics is mathematics used by commercial enterprises to record and manage business operations. Commercial organizations use mathematics inaccounting‚ inventory management‚ marketing‚ sales forecasting‚ and financial analysis. Mathematics typically used in commerce includes elementary arithmetic‚elementary algebra‚ statistics and probability. Business management can be made more effective in some cases by use of more advanced mathematics such as calculus‚ matrix algebra and linear programming
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Chapter 7 ← Problem 7-43 - ACL Problem Solution a. There are 44 payroll transactions in the Payroll file. (This is determined by reading the number at the bottom of the screen.) b. The largest and smallest gross pay amounts for September are $4‚395.83 and $1‚278.33‚ respectively. (Use Quick Sort.) c. Total gross pay for September was $99‚585.46. (Use the Total command.) d. The report on the following page shows gross pay by department. (Use the Summarize
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In chapter seven Hooks talks about feminism in the realms of class. Hooks explains that the focus of feminism came to be about the wealthy white upper class women who wanted the same opportunities as men of their own class rather than the focus of women receiving the same benefits to sustain themselves. Working class and middle class women were able to work‚ but they did not make enough money to support themselves. I liked this chapter because Hooks gave a resolution for the problem. Hooks explains
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Chapter 3—Predetermined Overhead Rates‚ Flexible Budgets‚ and Absorption/Variable Costing LEARNING OBJECTIVES LO 1 Why and how are overhead costs allocated to products and services? LO 2 What causes underapplied or overapplied overhead‚ and how is it treated at the end of a period? LO 3 What impact do different capacity measures have on setting predetermined overhead rates? LO 4 How are the high-low method and least squares regression analysis used in analyzing mixed costs? LO 5 How
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Chapter 7 pgs.182-194 The Rise of Cultural Nationalism Patterns of Education • Republican vision included enlightened citizenry‚ wanted nationwide system of free public schools to create educated electorate required by republic • By 1815 no state had a comprehensive public school system‚ schooling primary by private institutions open only to those who could pay o Most were aristocratic in outlook‚ trained students to become elite. Few schools for poor • Idea of “republican mother” to train
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Week Three Practical Problem Questions A. Determine T(n) for n = 6‚ 7‚ & 8. T(6)=(2*6*10*14)/(6-1)!=14 T(7)= (2*6*10*14*18)/(7-1)!=42 T(8)= (2*6*10*14*18*22)/(8-1)!=132 B. Do you detect a pattern to these numbers? This pattern may arise out of the numbers or the manner in which you generated triangulations. (A closed-form function for T(n) is relatively straightforward‚ but is fairly nontrivial to construct; you will not have to explore that here.) The pattern for these numbers
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