I know that real numbers consist of the natural or counting numbers,.pdf

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I know that real numbers consist of the natural or counting numbers, whole numbers, integers, rational numbers and irrational numbers. But what about imaginary number i. And is it possible that i can use an imaginary number for a real number. Solution There are two types of numbers 1.Real 2.Imaginary So we cannot use real as imaginary because they belong to different categories..

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I must have the formula / calculation view from the spreadsheet to solve the questions. So instead of just seeing that cell A25 is $XX.00, it should show the formula i.e. =A1*B2+A1. Thank you! Rio Claro, Inc. (RCI) is in the business of transporting cargo between ports in California and Washington. Its fleet includes a small dry-cargo vessel, theMaracas. The Maracas is 25 years old and badly in need of an overhaul. It is March 2016, and Michael John, the finance director, has just been presented with a proposal that would require the one-time expenditures shown below in Table 1. If the proposal is accepted, these expenditures will be made in the next few days. Mr. John believes that all these outlays could be depreciated for tax purposes in the seven-year MACRS class (see Table 2 below for rates). Overhaul of theMaracas will begin as soon as the expenditures in Table1 are made, but the vessel will be out of service for several months. The overhauled vessel would resume commercial service in one year. RCI’s chief engineer’s estimates of the post-overhaul operating costs are in Table 3. In addition to the overhaul described above, the chief engineer suggests installation of a brand- new engine and control system. Installation of this new engine would cost an extra $600,000 (This additional outlay would also qualify for tax depreciation in the seven-year MACRS class.). However, if the additional equipment is installed, it would result in reduced fuel, labor, and maintenance costs as shown in Table 4. The operating cost estimates in Tables 3 and 4 are current for March 2016. However, these costs will increase with inflation, which is forecasted at 1.25% a year. Depreciation and operating costs attributable to the overhaul of theMaracaswill begin one year after the vessel is put back into commercial service. The revenues from operating the vessel will be the same for both types of overhaul. Even with the proposed overhaul, the Maracas cannot continue forever. After the overhaul, its remaining useful life is estimated to be only 12 years. Its salvage value when finally taken out of service will be trivial. Thus, Mr. John feels it is unwise to proceed without also considering the purchase of a new vessel. Racette & Sons (R&S), a Colorado shipyard, has approached RCI with a design incorporating a Kort nozzle, extensively automated navigation and power control systems, and much more comfortable accommodations for the crew. R&S is offering the new vessel for a fixed price of $3,000,000, payable half immediately and half on delivery in one year. Estimated annual operating costs of the new vessel are in Table 5. The operating cost estimates in the table are current for March 2016, but will increase with inflation. The crew would require additional training to handle the new vessel’s more complex and sophisticated equipment. Training would result in a one-time cost of $50,000 payable one year following delivery of the new vessel. This cost is tax deductib.

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I managed to do this in terms of polar coordinates. How would one solve this using the fact that T(z) = z^2? (2) Consider the map T: D D, where D is the unit disk in the plane, given by T(r cos theta, r sin theta) = (r^2 cos 2theta,r2 sin 2theta), Using complex notation, z = x + iy, the map T can be written as T(z) = z^2, Show that the Jacobian determinant of T vanish only at the origin. Thus, away from the origin, T is locally one-to-one. However, show that T is not globally one-to- one on 2 minus the origin. Solution T(z) = T(rcost, rsint) Consider z^2 = (rcost, rsint).(rcost,rsint) = r^2cos^2t+r^2sin^2t = r^2 = (x^2+y^2) where x =rcost and y =rsint Thus T(z) = z^2 T(z) = z^2 =0 only when r=0 or at the origin. As T(z) = z^2, T(-z) = (-z)^2 =z^2 Thus z and -z have the same image under T. T is not one to one..

I managed to do this in terms of polar coordinates. How would one so.pdf

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I know how to calculate Dn... 7.758The answer is supposed to be Aj.pdf

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I just need problem 3Find the the sum of the series12^4 + 14.pdf

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I hope i did all of that correctly.Can someone check my math o.pdf

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I hope someone can help me , I need to write a ten page paper on Probability by 215-2012. Is there any out there that can help me with this problem? Solution Probability is ordinarily used to describe an attitude of mind towards some proposition of whose truth we are not certain.[1] The proposition of interest is usually of the form \"Will a specific event occur?\" The attitude of mind is of the form \"How certain are we that the event will occur?\" The certainty we adopt can be described in terms of a numerical measure and this number, between 0 and 1, we call probability.[2] The higher the probability of an event, the more certain we are that the event will occur. Thus, probability in an applied sense is a measure of the likeliness that a (random) event will occur. The concept has been given an axiomatic mathematical derivation in probability theory, which is used widely in such areas of study as mathematics, statistics, finance, gambling, science, artificial intelligence/machine learning and philosophy to, for example, draw inferences about the likeliness of events. Probability is used to describe the underlying mechanics and regularities of complex systems. The word probability does not have a singular direct definition for practical application. In fact, there are several broad categories of probability interpretations, whose adherents possess different (and sometimes conflicting) views about the fundamental nature of probability. For example: Frequentists talk about probabilities only when dealing with experiments that are random and well-defined. The probability of a random event denotes the relative frequency of occurrence of an experiment\'s outcome, when repeating the experiment. Frequentists consider probability to be the relative frequency \"in the long run\" of outcomes.[3] Subjectivists assign numbers per subjective probability, i.e., as a degree of belief.[4] Bayesians include expert knowledge as well as experimental data to produce probabilities. The expert knowledge is represented by a prior probability distribution. The data is incorporated in a likelihood function. The product of the prior and the likelihood, normalized, results in a posterior probability distribution that incorporates all the information known to date. The scientific study of probability is a modern development. Gambling shows that there has been an interest in quantifying the ideas of probability for millennia, but exact mathematical descriptions arose much later. There are reasons of course, for the slow development of the mathematics of probability. Whereas games of chance provided the impetus for the mathematical study of probability, fundamental issues are still obscured by the superstitions of gamblers.[8] According to Richard Jeffrey, \"Before the middle of the seventeenth century, the term \'probable\' (Latin probabilis) meant approvable, and was applied in that sense, univocally, to opinion and to action. A probable action or opinion was one such .

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I have to do a project..no one stops at the sign in front of my house-but since defining a stop is too difficult, I am using whether or not the drivers use the brake or not. You would be surprised how many don\'t even brake at all. How do I get started with this? Choose random times and days to observe the stop sign? Can you just point me in the right direction? Thanks :) Statistics and Probability Comment Solution Why do you say that Project Management is the best method of implementing change? Although change occurs continuously in the world and in our daily lives it is rarely implemented that way in organisations but rather as a series of steps; a ladder of change. A new piece of legislation, market imperatives, management initiatives and new technology create projects that need to be managed, often across departmental or disciplinary lines. Project Management is a methodology and a discipline which can bring significant benefits to organisations by:- Ensuring limited resources are used on the right projects Harnessing the energy of staff in achieving beneficial change Managing complex changes in an organised way Assessing risks, defining goals and key success areas and setting quality objectives. However, every organisation has finite resources and, therefore, a limit to the number of projects it can initiate and control. Pushing too many projects through a resource limited organisation causes gridlock and stress. Managing the project portfolio efficiently is a fundamental principle of good project management. Because most projects involve new ideas and learning (even a project to build houses or flats may involve new materials or unusual soil conditions or there may be new initiative for tenant selection or co-ownership schemes) project management has evolved a discipline to manage the new and unusual. Its objective is to: define the project reduce it to a set of manageable tasks obtain appropriate and necessary resources build a team or teams to perform the project work plan the work and allocate the resources to the tasks monitor and control the work report progress to senior management and/or the project sponsor close down the project when completed review it to ensure the lessons are learnt and widely understood. It is this structured approach that makes project management the best method for change management. What is a project? A project is generally defined as a programme of work to bring about a beneficial change and which has:- a start and an end a multi-disciplinary team brought together for the project constraints of cost, time and quality a scope of work that is unique and involves uncertainty Examples of a project:- The development and introduction of a new services The development of a management information system The introduction of an improvement to an existing process Setting up a new care initiative The creation of a large tender or the preparation of a response to it. The production of a new customer newsletter, catal.

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I have only 1 attempt. Please make sure answers are correct.Answ.pdf

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I have no idea how to start this problem or how to format in Excel...help!! Solution There are a variety of formatting options available in Excel - conditional formatting, number formatting, text and general spreadsheet formatting techniques. With so many choices it is easy to get lost or miss some options altogether. Here you will find free step by step tutorials, how to\'s, general information, tips and shortcuts to help you format your spreadsheets effectively. Excel 2007 Negative Number FormatThis tutorial covers how to format a negative number in Excel 2007. The tutorial includes a step by step example of how to format a negative number in Excel 2007. Excel 2007 AutoFormatExcel 2007\'s Autoformat option gives you 17 styles to use to give your spreadsheets a professional look. Instructions on how to apply an autoformat style are included. Customize the Quick Access Toolbar in Excel 2007 The Quick Access Toolbar is used to store shortcuts to frequently used features in Excel. This tutorial shows you how to add the autoformat button to the Quick Access Toolbar. Formatting your Excel spreadsheets makes them easier to read and understand the important information. This series of Excel articles and tutorials, takes you through the process of formatting your Excel spreadsheets. Basic Formatting in Excel - Tutorial Part 1Excel offers a variety of formatting options including number, text, and worksheet formatting. This is the first part of a step by step tutorial, using these types of formatting effectively to enhance your spreadsheets. Basic Formatting in Excel - Tutorial Part 2Excel offers a variety of formatting options including number, text, and worksheet formatting. This second part of a step by step tutorial, covers using these types of formatting effectively to enhance your spreadsheets. Add and Delete Columns and Rows in ExcelThis series of articles cover the basics of how to add and delete columns and rows in Excel worksheets. It is often necessary to alter the layout of a worksheet due to the addtion or removal of data. Hide and Unhide Columns and Rows in ExcelThis series of articles cover how to hide and unhide columns and rows in Excel worksheets. Find Duplicates in Excel 2007 with Conditional FormattingThis article shows you how find a variety of duplicate data - formulas, numbers, dates, data records - in Excel 2007 using conditional formatting. The article includes an example of using conditional formatting in Excel 2007 to find duplicates. Excel 2007 Conditional Formatting for DatesThis article shows you how apply conditional formatting to cells in Excel 2007. The article includes an example of using conditional formatting in Excel 2007. Finding Above Average Values with Conditional FormattingThis article shows you how apply conditional formatting to cells in Excel 2007. The article includes an example of using conditional formatting in Excel 2007. Finding Below Average Values with Conditional FormattingThis article shows you ho.

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I have the book Business Driven Information Systems, 4th edition. I need help with Chapter 3: Project II: wiki your way. Wikis are web-based tools that make it easy for users to add, remove, and change online content. employees at companies such as Intel, Motorola, IBM, and Sony use them for a host of task, from setting internal meeting agendas to posting documents related to new products. Many companies rely on wikis to engage customers in ongoing discussions about products. wikis ABC and CBS, created fan wikis that let viewers interact with each other as they unraveled mysteries from such shows as Lost and CSI: Crime Scene Investigation. You would like to implement wikis at your new company, The Consulting Edge, a small computer consulting company catering to mid- and large-sized businesses. Answer the following questions: *How can a wiki help you attract customers and grow your business? *HOw can a wiki help your partners and employees? *What ethical and security concerns would you have with the wiki? *What could you do to minimize these concerns? Solution 1. 2. A wiki is a Web site that enables users to collect team knowledge, plan events, or work on projects together. People can easily add new content or edit existing content. Wikis continue to evolve as people add and revise information. Although a version history is collected, and the history is organized in chronological order, the versions aren\'t displayed in journal style in the default view of a wiki.Your team may want to use a wiki to build a collective body of knowledge or to facilitate planning, such as for a team project, a publication, or a conference.For example, a company marketing team uses a wiki to help newly hired staff members get started quickly. As team members run across additional resources or have additional advice to relay, they add the links and information. Five tools that can help your partner and employees.

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I have heard multiple times that a consistent definition of liquidity does not exist. The two wikipedia articles describing liquidity (Market liquidity and accounting liquidity) lack a discussion of this apparent problem within economics. Could someone perhaps provide a reference to a discussion of the problem of defining liquidity and maybe provide a brief summary of the issue? Solution Etymology and Introduction As a concept to measure the interchangeability of assets and money, liquidity is a new word. It first appears in 1923 in a use by Hawtrey (The Oxford English Dictionary (1989)). The underlying idea however is much older. Menger (1892) calls a good more or less saleable according to the facility to which it can be disposed of at current purchasing prices with less or more diminution. He is talking about the origin of money, and not the disposition of financial assets, but this concept of saleability is very much like the modern concept of liquidity. This sense of saleability goes back at least as far as Jehan Palsgrave\'s usage in 1530 (The Oxford English Dictionary (1989)). Although the absence of liquidity is now commonly referred to as \"illiquidity\", Marschak (1938) offers \"frozen\" as an alternative that did not catch on. Hicks (1962) says that the use of the word liquidity in a financial sense was popularized by Keynes and the Macmillan Report in the 1930\'s (Macmillan Committee of HMSO (1931)). In The General Theory, Keynes says that liquidity justifies money trading at a premium over bills or bonds and causes the existence of an interest rate. Hicks teases from Keynes\' Treaty on Money (Keynes (1930)) that one calls an asset more liquid than another if it is \"more certainly realizable at short notice without loss.\" This quote is more ambiguous than it may seem at first glance. Hicks offers several interpretations. The first, which he flatly rejects, define liquidity as the difference between the price the owner carries on his books for an asset and the price they could sell it for on the market. The second, is an interpretation of marketability. Hicks defines a security as marketable if it is sold just as well after negotiation, search and advertising as it is without it. That is, we can compare the liquidity of two assets by the relative sacrifice one makes from a rapid sale. He claims this interpretation is \"more appealing\" but still not what Keynes meant. He understands Keynes\'s definition of liquidity to require perfect marketability, but even perfectly marketable assets can be more or less liquid. The difference here is in the moments of the asset\'s price. Among marketable financial assets, we can regard them as more or less liquid by using a utility function to manage the trade-offs between maximizing the desirable odd moments (e.g., positive mean and skew) and minimizing undesirable even moments (e.g., variance and leptokurtosis) of asset returns. Definitions of Liquidity A treatment of market liquidity is crit.

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I have been assigned to take the data and arrange it in the order I collected it (11,12,12,9,8.5,9.5,8.5,11,10,9,16,12,10,12,14). Count the total number of observations you have, and label this number N. Then create another set of data starting from one and increasing by one until you reach N (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15). This set of data is called a time series. Runa regression using the original set of data as the dependent variable, and your time series as an independent variable. What are the results and any conclusions that can be reached by the results? Solution total number of observations(N):15 dependent variabl(x)=11,12,12,9,8.5,9.5,8.5,11,10,9,16,12,10,12,14 independent variable(y)=1,2,3,4,5,6,7,8,9,10,11,12,13,14,15 The equation for a straight line is usually written as: Y = bX + a where b = slope of the line = (Y2 - Y1) / (X2 - X1) = “the rise” divided by “the run” and a = the Y-intercept = the value of Y when X = 0 Y=X+165.5.

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I have problem on this extra point please help thanks Write a sine function and a cosine function which match the following graph. Note that the x-axis goes from 0 to 2 pi and the y-axis goes from -7 to 8. Solution 1) sine function : peak to peak = 8 so one peak = 4 it\'s shifted 2 units downward , and the period is 2pi/2 = pi , hence : f(x) = 4 sin(2x) - 2 _________________________________ 2) cosine it\'s like sine but shifted right by (pi / 4) f(x) = 4 cos 2(x - pi/4) - 2 => f(x) = 4 cos (2x - pi/2) - 2.

I have problem on this extra pointplease helpthanks Write a sine.pdf

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I have one question that I would like some assistance on. It dealswith Graphs (Planar Bipartite). I appreciate the help! Question: What is the maximum number of edges that can be in a planargraph that is bipartite? Will rate LIFESAVER! I appreciate the help! Question: What is the maximum number of edges that can be in a planargraph that is bipartite? Will rate LIFESAVER! Solution A planar bipartite graph on v vertices can have at most 2v-4 edges.One can prove this as a simple consequence of the Euler PolyhedralFormula. In graph terms it translates as this: If G is a planargraph with v vertices, e edges, and f faces (the regions formed onthe sphere by the graph drawing) then v-e+f = 2. A proof of thisfact can be found in most texts on Graph theory. Suppose now that a graph G is bipartite and has maximum number ofedges without destroying either planarity or bipartiteness (elsekeep adding more edges). Now the important thing to note is thatevery face of this graph must necessarily have 4 edges. Indeed, ifthere is a cycle of size 2k, then note that we can keep addingextra edges till we only see all faces of side 4. Also, note thatevery edge necessarily is part of two difference faces (\'inner\' and\'outer\', say). This implies the following: Count the number of pairs (F, e) where F is a face and e isan edge in F. Then the number of faces is f, and each of thesefaces has length 4, so the number of such pairs is 4f. But on theother hand, each edge is in 2 different faces, so this number isalso 2e. Hence 4f=2e => e = 2f. Plug this into the Euler formulato get v - e + f = 2 <=> v - e + e/2 = 2 => e/2 = v-2 =>e = 2(v- 2) = 2v - 4..

I have one question that I would like some assistance on. It dealswi.pdf

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I have to find if they are removable or unremovable.Solution .pdf

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I have been reading the work of Alesina , about the pros and cons of dollarization (i.e. adopting the currency of other country, say the dollar). It is not the case of the European Union by the way, here the small open economy completely gives up on having its own currency. Countries like Panama, El Salvador, and Ecuador have adopted such monetary policy and have done well during expansionary part of the cycle. Now, most commodities prices, of which these countries depends are down, and evidence will be available of the costs of dollarization. However, here I ask about theoretical reasons of why this extreme fixed exchange rate is better with a flexible scheme. The trade-off is between stable and credible monetary policies and flexible possibly manipulable ones in countries with weak institutions. Solution Like many questions in economics, optimal behavior depends on the set of alternatives. The alternatives of Panama, El Salvador, and Ecuador to dollarization are likely a heavily politicized monetary and exchange rate policy. And so for the hypothetical small open economy considered in the question, the key issue is \"What\'s the institutional effectiveness and independence of the potential monetary authority?\" There are small, open economies with well run central banks (Australia and Switzerland) but also less well run ones (Turkey). If Panama could have Australia\'s quality of central bank they\'d probably prefer that to dollarization. That might explain why Chile and Costa Rica, with some of the best institutions in Central America choose not to peg their currency to the dollar. If Panama did manage its own monetary affairs without a peg they\'d get likely get results more like Turkey. They likely prefer dollarization to the results they\'d expect from independent monetary policy. And indeed, when you peek into the past of many countries with pegged currencies, you often find an episode of poorly conducted monetary policy just before dollarization. Not Panama (never had its own currency since independence), nor El Salvador, but Ecuador introduced dollarization in response to a severe banking and financial crisis. Argentina also seemed to introduce dollarization in response to monetary crisis. There are of course other considerations related to optimal currency areas. In particular, if you do a lot of trade with the USA dollarization is less of a sacrifice with respect to the best possible independent currency and monetary policy then if you do most of your trade with a neighboring country that uses a different currency. If Mexico adopts a pegged currency at some point the dollar makes a lot more sense than the Euro when 70% of their trade is with the USA and trade is a big part of their economy. But neighboring countries often have similar trading partners, and are in a similar position with respect to other optimal currency area criteria (no labor mobility to the reference country, no fiscal transfer mechanism shared with the reference .

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