Pythagoras Theorem and Financial polynomials Essay Example for Free

Pythagoras Theorem and Financial polynomials Essay Pythagoras Theorem and Financial polynomials Introduction                   Ahmed and Vanessa have interest in locating a treasure, which is buried. It is my responsibility to help the two locate it. First, I will help them locate it by the use of Pythagorean quadratic. As per Ahmed’s half, the treasure is buried in the desert (2x + 6) paces form the Castle Rock while as per Vanessa’s half she has to walk (x) paces to the north then walk (2x + 4) paces to the east. According to the Pythagorean theorem, every right angled triangle with length (a) and (b) as well as a hypotenuse (c), has a relationship of (a2 + b2 = c2) (Larson Hostetler, 2009).                   In Ahmed and Vanessa’s case, I will let a=x, b =2x+4 and then c=2x+6. To follow, will be my efforts to put the measurements above into the real Pythagoras theorem equation as follows: X2+ (2x+4)2=(2x+6)2 this is the equation formed out of the Pythagoras Theorem X2+42+16x+16 = 42+ 24x+36 are the binomials squared x2 42 on both sides can be subtracted out. X2+16x+16 = 24x +36 subtract 16x from both sides X2+16 = 8x+36 now subtract 36 from both sides X2-20 = 8x X2-8x-20=0 I will use to solve the function by factoring using the zero factor. (x-) (x+) the coefficient of x2 Application and selection from the following (-2, 10: -10,2: -5,4; -4, -5) In this case, it seems that I am going to use -10 and 2 is as per how the expression looks like this (x-10)(x+2)=0 X-10=0 or x+2=0 creation of a complex equation x=10 or x=-2 these are the two probable resolutions to this equation.                   One of the two calculated solutions is an extraneous solutions, as it do not work with such sceneries. The remaining solution I only have is (X=10) as the number of paces Ahmed and Vanessa have to accomplish to find the lost treasure. As a result the treasure is 10 paces to the north 2x+4 connect the 10, now its 2(10)+4=24 paces to the east of Castle Rock, or 2x+6= 2(10)+6=26 paces from Castle Rock. Financial polynomial                   For the case of financial polynomials, I have first to write the polynomial without the parenthesis. Following the above, I have to solve for p= 2000 + r = 10% for part A and then solve for p= $5670 + r = 3.5% for part B, without the parenthesis as follows: P + P r + P r2/4 (the original polynomial) to reach this I followed the following steps: (1 + r/2)2 This is because it looks as if it is foil P(1 + r/2) P (1+r/2)(1+r/2) After the two equations I combine like terms. Because I am multiplying by 2 on r/2, it cancels out both 2’s and I then get left with is r as follows; P(1+ r/2 + r/2 + r2/4) P(1 + 2(r/2) + r2/4) I then write in descending order (P + Pr + Pr2) To solve for P=2000 and r=10% the following follows; P + Pr + Pr2/4 2000 + 2000 Ãâ€"(0.10) +2000Ãâ€" 0.1024 2000 + 200 + 5 = $2205 P(1+ r/2)2 2000Ãâ€"( 1 + .10)2 2000Ãâ€"(1.05)2 2000Ãâ€"( 1.1025) = $2205 For part B I will solve for P=5670 and r= 3.5% P + Pr + P Ãâ€"(r2/4) 5670 + 5670Ãâ€" (0.035) + 5670 Ãâ€" 0.0352 5670 + 198.45 + 1.7364375 = 5870.1864375 This is approximately ($5870.19) The problem 70 on page 311 has the following steps; (-93 + 32 – 15x) à · (-3x) The Dividend is (-93 + 32 – 15x), and the Divisor is (-3x). The Dividend is (-93 + 32 – 15x), and the Divisor is (-3x). -93 + 32 15x -3xAfter I divide -9 by -3 which equals +3. The x on the bottom cancels the x from the top. -93 + 32 – 15x -3x -3x -3x -9* x*x* x I am now left with 32 for the first part of the polynomial. -3 * x -9*x *x * x -3 * x I first divide 3 by -3, which equals -1 and the x from the bottom cancels out one of the x’s from the top. -93 + 32 – 15x -3x -3x -3x 3 *x *x At this point I am left with -1x, which simplifies to just –x, as the second part of the polynomial. Then -3 *x 3 *x * x -3 * x Then I divide -15 by -3, which equals positive 5, and the x on the bottom cancels out the x on the top, so you do not have any x’s to carry onto the answer of the equation. -93 + 32 – 15x -3x -3x -3x -15 *x At this point I am left with only 5 for the last part of the polynomial, and the answer is 32 – x + 5. -3 * x -15 * x -3 * x                   The negative sign from the -3 x changes the plus sign in the equation to a minus sign, it changes the minus sign to a plus sign in the final answer, and the equation is in Descending order. Reference Larson, R., Hostetler, R. P. (2009). Elementary and intermediate algebra. Boston, Mass: Houghton Mifflin Source document

Techniques Used in Morris Glietzmans Boy Overboard Essay -- essays re

In Morris Glietzmans heart breaking but remarkable book Boy Overboard, he shows how the corrupt government in Afghanistan has forced out many of its inhabitants making them try to leave the country by avoiding the government and staying in refugee camps until they can leave is in the country. Morris Glietzman shows the pressure put on the families in Afghanistan through similes, metaphors, and humour. The Afghanistan government or the Taliban as they are called, are very harsh and unfair with the laws that are in place in Afghanistan and are not nice to the families in the country. Woman are treated very unfairly in Afghanistan for minor crimes, and are whipped or killed for a crime such as showing there ankles in public or not being with a male person of there family while outside. Similes are used throughout Boy Overboard to show a comparison in the readers mind. By using a comparison with another obje0ct and using like or as to show this comparison the object can be shown to be something normally not possible for the person or object to be or do. One example in the story B...

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Nonpolar Bond Definition: Type of chemical bond which has no positive or negative ends.Examples: Found in diatomic and homonuclear molecules, such as O2 and N2.