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Discrete math -content– 1. Consider the set ð‘†={(ð‘¥1,ð‘¥2,…,ð‘¥ð‘›)?ℤð‘›|ð‘¥ð‘–=0 ð‘Žð‘›ð‘‘ ð‘¥1+ð‘¥2+⋯+ð‘¥ð‘›=ð‘˜ð‘š}. Throughout the problem assume that ð‘˜,ð‘š?ℤ and ð‘˜=2,ð‘š>0. a. Assume ð‘˜=2. Describe a method of counting the number of elements in 𑆠whose entries are all even. (that is, explain how to count the number of ordered non-negative solutions to ð‘¥1+ð‘¥2+⋯+ð‘¥ð‘›=2ð‘š in which all the ð‘¥ð‘– are even) b. Assume that ð‘š=ð‘›=3. If you randomly select an element of S, what is the probability that its coordinates are all equivalent ð‘šð‘œð‘‘ ð‘˜? Hint: there are two distinct cases to consider – ð‘˜|ð‘› and ð‘˜âˆ¤ð‘›. 2. Consider the set of vertices, ð‘‰={1,…,ð‘›}. The set ðºð‘›={(ð‘–,ð‘—)?ð‘‰×ð‘‰|ð‘–<ð‘—} represents a graph. (recall the definition from class that an ordered pair represents an edge between ð‘– and ð‘—) a. For which values of ð‘› does ðºð‘› contain an Eulerian circuit? b. How many distinct Hamiltonian circuits does ðºð‘› contain? Hint: it might be more intuitive to count Hamiltonian paths and then investigate how many circuits each of these paths can extend to. 3. Let ð‘ƒ={ð‘?â„• | ð‘>2 ð‘Žð‘›ð‘‘ ð‘–ð‘“ ð‘=ð‘Žð‘ ð‘¡â„Žð‘’ð‘› ð‘Ž=1 ð‘œð‘Ÿ ð‘=1}. a. Find the equivalence classes of 𑃠under congruence ð‘šð‘œð‘‘ 4. b. If ð‘?𑃠and ?ð‘¥,ð‘¦?ℤ such that ð‘=ð‘¥2+ð‘¦2, which of the equivalence classes listed in part a) is ð‘ an element of? Hint: recall that if ð‘Ž=ð‘ ð‘šð‘œð‘‘ ð‘› and ð‘=ð‘‘ ð‘šð‘œð‘‘ ð‘› then ð‘Ž+ð‘=ð‘+ð‘‘ ð‘šð‘œð‘‘ ð‘› and also ð‘Žð‘=ð‘ð‘‘ ð‘šð‘œð‘‘ ð‘›. PLACE THIS ORDER OR A SIMILAR ORDER WITH US TODAY AND GET A GOOD DISCOUNT
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Development psychology -content– Pretend that you have been asked to develop a program for the senior citizens in Volusia and Flagler counties. This program would include a comprehensive range of services for individuals in late adulthood and would address the many challenges facing people as they age. Would you focus on the whole “over 65 population” or the “third age” or “fourth age” group? What are their needs? What kinds of problems are they facing? What should be done to assist them? Describe at least three services that your program would offer. Explain why those services are needed and how they would address specific developmental challenges. Assume that you have all the funding you need. Be creative. Use some of the concepts and vocabulary associated with adjustment in late adulthood in your answer. Make sure you reference your research findings PLACE THIS ORDER OR A SIMILAR ORDER WITH US TODAY AND GET A GOOD DISCOUNT
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Making Financial Business Decisions -content– You have always wanted to own a restaurant and have now decided to go into business, purchase a building, and open an Italian Bistro. The items listed below provide information regarding the purchases you will need to make to start your business. 1) The building and the land it sits on will cost $250,000 and you have 20% to put down on the property. Annual taxes are $6,000 and fire and liability insurance is $3,600. 2) You have $150,000 of additional funds to allocate for refurbishing the grounds, building structure, interior design, and kitchen. 10% of the savings will be allocated to the grounds, 20% to the building’s structure, 20% to update the interior design, and 50% for kitchen installation and fire suppression systems. 3) Tables are $200 each for 2 tops, $300 each for 4 tops, and $500 each for 6 tops. You plan to purchase eight (8) 2-top tables, six (6) 4-top tables, and ten (10) 6-top tables. Chairs cost $50 each. You are planning on being able to seat 100 people in the restaurant at a time and need 10 extra chairs. Silverware, tablecloths and napkins cost a total of $6,000, serving utensils cost a total of $3,000, and glassware cost a total of $5,000. 4) Place/plate settings cost $35 each. You need to purchase three times the number of planned seats for turn-around and breakage. (Remember you are planning for 100 people in your restaurant.) 5) Servicing carts, cooking equipment, prep tables, storage containers, and other supplies will cost a total of $16,000. 6) Research suggests that the average receipt total per person is $12.80 and the average cost per meal is $6.86 for the Italian restaurants in your area. The research also suggests that tables are turned over for new customers between 13 and 21 times a day in your area, and that restaurants have between 40% and 60% occupancy fill rate each day. You mission is to create a financial business plan explaining the initial outlay of funds this business venture will cost. Create a PowerPoint Presentation for this business venture. The following is an outline of how your slides should be presented. Slide 1: This is your title page. Include your name, project title, the course and section number and the assignment due date. Slide 2: This slide is your introduction slide. This slide should summarize your new business venture, describe your restaurant concept (i.e. casual dining, bight atmosphere, etc.) and provide other helpful information. For example, restaurant name, what types of appetizers, salads, soups, entrees, beer and wine availability, and desserts you might serve, and hours of operation. Highlight what makes you restaurant special. Slide 3:This slide should include a small picture or building plan drawing of the building, and summarize the purchase price, down payment, and amount financed. The picture of the building can be obtained from a real estate website, or from a building plan drawing available on the Internet (be sure to cite this). Also list the annual tax and insurance amounts. It should also include the monthly mortgage payment including principal, interest, taxes and insurance (PITI). The slide notes (section below the slide in PowerPoint) should contain the steps you took to calculate the monthly mortgage payment. Slide 4 to 6: These slides should include your start up expenses. On these slides you would list the cost of purchasing all of the items listed in items 3, 4, 5 above (tables, place setting, kitchen equipment, etc.).You can include pictures of items, or include graphs of the cost.List the total start up expense required to open the restaurant somewhere. Slide 7: This is your revenue slide. Create revenues and food costs from your first 6 days of serving food. Present the average receipt total per person, the average cost per meal, number of times a table is sat or turned over, and fill rate or occupancy rate to estimate your restaurants revenues. This is another place where a graph could help illustrate your revenue potential. Slide 8: Conclude your presentation with the “wrap up” of the concept and any final thoughts you might want to include. Slide 9: List any resources you have used for this project. PLACE THIS ORDER OR A SIMILAR ORDER WITH US TODAY AND GET A GOOD DISCOUNT
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AMERICAN HISTORY -content– Describe how America’s regional and local markets merged into one truly national market and how this influenced the consumer demand for products and services, as well as some of the costs associated with the transition. Discuss the functioning of national, state, and local politics during the late 1800s. Describe the formation of the early labor unions in the United States, including their goals, activities, and situations at the end of the nineteenth century. Describe the evolution of urbanization and immigration in the North during the second half of the nineteenth century, and how those two factors shaped the region’s social relations, including its disparities of wealth. Evaluate what was meant by the term New South. Describe the development of the American West that took place during the second half of the nineteenth century, addressing both the role that industrialization played and the final defeat of Native American tribes on the plains. Discuss the problems that confronted America’s farmers in the North, South, and West during the late 1800s, and describe how their attempts to solve those problems led to the formation of a new political party. PLACE THIS ORDER OR A SIMILAR ORDER WITH US TODAY AND GET A GOOD DISCOUNT
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