Problems on NUMBERS Q. 1 to Q. 10 Check the divisibility for the following numbers whether these are divisible by 2‚ 3‚ 4‚ 5‚ 6‚ 7‚ 8‚ 9‚ 11‚ and 12. Test for all Factors among the above mentioned numbers. 191 1221 11111 10101 512 3927 34632 4832718 583360 47900160 Q. 11. Simplify (46 + 18 * 6 + 4) / (12 * 12 + 8 *12) = ? Q. 12 On dividing a number by 999‚ the quotient is 366 and the remainder is 103. The number is Q. 13 Simplify (272 - 32)(124 + 176) / (17 * 15 - 15)
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Abstract A complex number is a number that can be written in the form of a+bi where a and b are real numbers and i is the value of the square root of negative one. In the form a + bi‚ a is considered the real part and the bi is considered the imaginary part. The goal of this project is show how the use of complex numbers originates in the history of mathematics. Introduction Complex numbers are very important component of mathematics. They enable us to solve any polynomial equation of degree
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Real Number Properties In this assignment we were asked to solve three expressions using the properties of real numbers in order to do so. Each of the real number properties are essential in solving algebraic expressions. Although you may not need to use all of them in the same expression to solve you will need to use at least one. In this paper I will demonstrate the use of the properties and show the steps needed to solve each part of an expression. Understanding the properties of algebra
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Total number of Vehicles REGISTERED / ON ROAD in Karachi – 2011 compiled by URC S. No. Type of Vehicle 1 2 Total Registered on Road upto 31-122010 MECHANIZED ROAD TRANSPORT REGISTERED / ON ROAD 2011 Newly Registered During the Year 2011 January March April - June July September October December Total Registered on Road 2011 (Col. 4+5+6+7) Total Registered on Road upto 31-122011 (Col. 3+*) 3 4 5 6 7 8 9 15‚452 101 99 65
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Frank J. Fabozzi‚ CFA Yale University and Journal of Portfolio Management Sergio M. Focardi The Intertek Group Petter N. Kolm Yale University Trends in Quantitative Finance Statement of Purpose The Research Foundation of CFA Institute is a not-for-profit organization established to promote the development and dissemination of relevant research for investment practitioners worldwide. The Research Foundation of CFA Institute and the Research Foundation logo are trademarks owned by The
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To compare the Shannon Diversity index between the Riparian and Coastal Sage Scrub community‚ acquiring the actual value of the Shannon Diversity index from both of these communities needs to be done first. This can be done through the assistance of these materials: a 50m Fiberglass Metric Long Tape Measure with a Pumpkin color‚ GPS Tracker‚ lab notebook with a reasonable amount of paper‚ black-inked pen‚ and a functioning calculator. First‚ in either the Riparian or Coastal Sage Scrub community
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Bibliography: 21 Introduction The VIX is the ticker symbol for the volatility index that the Chicago Board Options Exchange (CBOE) created to measure the implied volatility of options on the S&P 500 index (SPX) over the next 30 calendar days. The formal name of the VIX is the CBOE Volatility Index. Originally‚ it was pioneered by Professor Robert Whaley in 1993. In the same year CBOE introduced Volatility Index that measured market’s expectation of 30 day volatility implied by eight at-the money
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dollars invested in or benchmarked to capitalizationweighted market indexes such as the S&P 500 Index or the Russell 1000 Index. Many academic papers‚ however‚ have rejected the idea that cap-weighted indexes are good CAPM market proxies‚ which is equivalent to rejecting the mean–variance efficiency of those indexes.1 It also suggests that more efficient indexes exist. The effort to identify a better index may be moot‚ however‚ if ex ante identification is impossible or if cap-weighted equity market
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Music has been known as a universal language that creates a profusion of knowledge and understanding between others. In this case‚ I will be using music to connect different characters in the novel I am Number Four‚ and show how they have changed and shaped themselves through the first portion of the book. Some of these characters are John‚ an alien trying to survive on Earth after his planet gets destroyed‚ Henri‚ John’s guardian and protector working on Earth towards the ultimate goal of saving
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Mara Kaouzova Professor Anthamatten Philosophical Ethics April 3 2013 Utilitarianism: ------------------------------------------------- The Greatest Happiness for the Greatest Number In the ethical debate‚ a divide has long existed between two models. One school of thought‚ notably Immanuel Kant’s Deontology‚ emphasizes the importance moral motivation‚ the other‚ represented by Consequentialism‚ emphasizes the importance of the outcome. Consequentialism is distinguished from the deontological
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