Module 8 Business Decisions Capital Gains Page 705‚ question 30 30A- How much tax will you have saved by waiting? $1‚250 $25‚000 X .10 = $2‚500 $25‚000 X .15 = $3‚750 $3‚750 - $2‚500 = $1‚250 30B- How much would you save in 36% bracket? Between $2‚000 to $4‚400 $25‚000 X .20 = $5‚000 $25‚000 X .28 = $7‚000 to $9‚900 $7‚000 - $5‚000 = $2‚000 $9‚900 - $5‚000 = $4‚400 Interpreting the numbers Page 743‚ Question 20 2‚300 2‚430‚ 2‚018‚ 2‚540‚ 2‚675‚ 4‚800
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Understanding What You Read – Week 3 Week 3- Chapter 5- Understanding Your Customer 1. Identify demographic trends that are occurring in the United States‚ related to (a) number of single-person households‚ (b) median age for marriage‚ (c) birthrate‚ (d) U.S. population growth‚ and (e) number of male homemakers. Single person households are showing the greatest increase in numbers and that trend is projected to continue. Birthrate has remained relatively stable in the United States since
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1998 9 14 1. 1.1 Markov Property 1.2 Wiener Process 1.3 2. 2.1 2.2 2.3 2.4 2.5 2.6 Taylor Expansion 2.7 3. Stochastic 3.1 3.2 SDE(Stochastic Differential Equation) 4. Stochastic 4.1 Stochastic integration 4.2 Ito Integral 4.3 Ito Integral 4.4 5. Ito’s Lemma 5.1 Stochastic 5.1.1 5.1.2 5.1.3 First Order Term Second Order Term Cross Product Terms “ ” – Ito Integral Riemann (Ordinary Differential Equation) (Chain rule) 5.2 Ito’s Lemma 6. 6.1 6.1.1 6.1.2 Closed-Form Solution Numerical Solution
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let f(x) be a quadratic polynomial such that that f(2)= -3 and f(-2)=21‚ then the co-efficient of x in f(x) is a. -3 b. 0 c. -6 d. 2 1. if f(x) =x3 +ax+b is divisible by (x-1) 2 ‚then the remainder obtained when f(x) is divided by (x+2) is ; a. 1 b . 0 c. 3 d. -10 3. the remainder when x1999 is divided
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2008 H I G H E R S C H O O L C E R T I F I C AT E E X A M I N AT I O N Mathematics General Instructions • Reading time – 5 minutes • Working time – 3 hours • Write using black or blue pen • Board-approved calculators may be used • A table of standard integrals is provided at the back of this paper • All necessary working should be shown in every question Total marks – 120 • Attempt Questions 1–10 • All questions are of equal value 212 BLANK PAGE – 2 – Total marks – 120
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A P P E N D I X E S Tables and Data Sets A Areas under the Normal Curve B Student’s t Distribution C Data Set 1 — Real Estate D Data Set 2 — Major League Baseball E Data Set 3 — OECD F Data Set 4 — Northwest Ohio School Districts G Critical Values of the F Distribution H Critical Values of Chi-Square I Binomial Probability Distribution J Factors for Control Charts K Poisson Distribution L Table of Random Numbers M Wilcoxon T Values N Banking Data Set — Case 262 Appendixes Appendix A Areas
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Discuss the cause of the Tacoma bridge disaster‚ in terms of waves‚ vibrations‚ and resonance. Elaborate the effects with relevant equations and formulae. The Tacoma bridge collapse can be attributed to the waves caused by the buildup of energetic vibrations. These energetic vibrations were built up from the bridge “taking energy from the steadily blowing wind” (Crowell). Eventually enough of these energetic vibrations built up to cause resonance within the system‚ causing the wave-like motion
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Mathematics is highly valued in our society but for many students the thought of learning mathematics is daunting. Learning mathematics in primacy school may have been a positive experience but it may have also been filled with frustration and anxiety. If a teacher has a negative view of mathematics then their students will adopt this view. Students must be shown the relevance and purpose of mathematics in a real life and meaningful way. There is no doubt that mathematics is an indispensable tool
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Geometry PJ Architecture and Geometry Architecture and geometry are perfect complements of each other they go hand to hand in so many ways let’s discuss some of these ways. Architecture has geometry written all over it if geometry never existed Architecture wouldn’t have existed either. First of all geometry is the reason that we can calculate and measure the sizes and shapes of certain structures for us to use. Geometry allows us pin point exactly how much more we may need or less ‚ without
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Puzzle: Who Got More? Mrs Mess was buying a set of garden furniture. The bill was seventy rupees. She gave the attendant what she thought were two ₹50 notes‚ (actually two ₹100 notes). The attendant was sleepy and didn’t notice either‚ so he gave Mrs Mess what he thought were three ₹10 notes (actually three ₹50 notes). Who ended up better off than they should? Solution: Mrs Mess comes away better off than she should‚ by ₹20 in fact. Despite the warning in the title‚ Mrs Mess did pay
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