Financial Market and Financial Instruments Market is simply defined as an area for potential exchanges. Thus market is a group of buyers and sellers interested in negotiating the terms of purchase or sales of goods and services. Similarly‚ financial market is that market is traded- loaned or borrowed-in-terms of different financial assets or instruments stocks and bonds are traded. "Securities" means shares‚ stock‚ bond‚ debenture‚ debenture stock issued by a corporate body or a certificate to unit
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Name: Date: Graded Assignment Checkup: Solving Polynomial Equations Answer the following questions using what you’ve learned from this lesson. Write your responses in the spaces provided‚ and turn the assignment in to your instructor. List all possible rational zeros for each polynomial function. 1. -3‚ 2‚ 5 2. -12‚ 17. 27 Use Descartes’ rule of signs to describe the roots for each polynomial function. 3. Two sign changes = Two or no positive roots m(-x) = (-x)3
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homogeneous constant coefficient linear equation an y (n) +· · ·+a1 y +a0 y = 0 has the characteristic polynomial an rn +· · ·+a1 r+a0 = 0. From the roots r1 ‚ . . . ‚ rn of the polynomial we can construct the solutions y1 ‚ . . . ‚ yn ‚ such as y1 = er1 x . We can also rewrite the equation in a weird-looking but useful way‚ using the symbol d D = dx . Examples: equation: y − 5y + 6y = 0. polynomial: r2 − 5r + 6 = 0. (factored): (r − 2)(r − 3) = 0. roots: 2‚ 3 weird-looking form of equation:
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arithmetic mean of the variable . Answer: < 0.8964 ‚ c) Apply the least-square regression and fit a second-order curve to the given points. Determine the standard error of estimate and the coefficient of determination. Compare the accuracy of this polynomial fit with the linear model in part (b). Answer: < 0.9567‚ > 324.8950 d) Apply the general linear least-square to fit the model ‚ where ‚ and are three basis functions as follow: ‚ ‚ Compute the corresponding matrix system by employing the method
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separate factors? distribution in what conditions can a factored expression be factored further? Greatest Common Factor A greatest common factor of two or more terms is the largest factor that all terms have in common. The greatest common factor of a polynomial should be factored out first before any further factoring is completed. Example: 3r6+27r4+15r2=3r2(r4+9r2+5) When multiplying variables‚ add the exponents. r^2•r^4=rr•rrrr=r6 When factoring a GCF‚ subtract the exponents. To factor r^2 from r^6:
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The financial crisis and the future of financial regulation Executive summary The outburst of the global financial crisis caused by the subprime crisis in America makes it necessary to adjust the financial regulation systems. The main financial crises in the history of the mankind were all mainly caused by the defects of the financial regulation in the world. Thus it can be seen that it is very necessary and important to explore the effective means to improve the effectiveness of the international
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find that the trend line that fits the best is the polynomial trend line‚ which is displayed in the graph down below. If we were to analytically develop one model function to determine if the polynomial trend line is indeed the most accurate fit‚ I would propose creating a system of equations. Before jumping to far ahead‚ we need to make it clear the equation we are going to be analyzing. We will use the equation given to us by the polynomial trend line which is: y= ax2 + bx +c and the reason
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1 MCR3U Exam Review Math Study Guide U.1: Rational Expressions‚ Exponents‚ Factoring‚ Inequalities 1.1 Exponent Rules Rule Product Quotient Power of a power Power of a product Power of a quotient Description a m × a n = a m+n a m ÷ a n = a m−n Example 4 2 × 45 = 47 5 4 ÷ 52 = 52 (a ) a m n = a m×n a a (3 ) 2 4 = 38 2 2 2 (xy) = x y an a = n ‚b ≠ 0 b b a0 = 1 a −m = 1 ‚a ≠ 0 am n (2 x 3) = 2 x 3 35 3 = 5 4 4 70 = 1 9 −2 = 4 5 Zero
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Unit 1. MATHS 1. INVESTIGATORY PROJECT TOPIC : POLYNOMIAL a) Find the possible numbers of zeroes in linear‚ quadratic ‚cubic and bi-quadratic polynomial with atleast five polynomial each. Draw graph for each case. What is your observation and what is the utility of your research? Do the Work-Sheet printed overleaf b) Examples of each polynomial will be given . Find the possible numbers of zeroes in given linear‚ quadratic and cubic polynomial and write three more examples of each and write their
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property. 1 2 Solve by quadratic formula Quadratic formula: Discriminant: x= −b ± b2 − 4ac = 0 b2 − 4ac > 0 b2 − 4ac < 0 √ −→ −→ −→ b2 − 4ac 2a one real solution two real solutions two complex solutions Solve Polynomial Equations by Factoring 1. Set to 0. 2. Factor completely. 3. Solutions are zeros of each factor: Ax + B = 0 −→ x= −B A Solve Radical Equations 1. Isolate a radical. 2. Take n-th power of both sides to get rid of radical. 3. Repeat
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