In the following exercise, find the coordinates of the vertex for the.pdf

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The document provides instructions to find the vertex of a parabola defined by the quadratic function F(x) = 3(x - 2)^2 + 1. The solution shows that for this function, the vertex is located at the point (2,1), following the formula that for a function of the form y=a(x-h)2+k, the vertex is located at the point (h,k).

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Italian energy concern Eni SpA agreed to annually purchase 2 billion cubic meters of LNG from Nigeria LNG Ltd. for resale to the United States. The gas is to be produced at the Bonny facility in Africa and delivered to the Cameron import terminal in Louisiana. It is expected that deliveries will start in 2012 and last for 20 years at a price of $0.25 per cubic meter. What is the present worth (end 2006) of the contract? Assume an annual interest rate of 13.575% and end of year cash flows. $1-8 billion $10.0 billion $3.4 billion $7.2 billion Solution Cash flow per year = volume*price =2*.25 = 0.5 billion K = N Present value of annuity =[(Annuity payment)/(1 + Required rate of return)^k] k=1 K = 20 Present value of annuity =[(0.5)/(1 +13.575/100)^k] k=1 PV = 3.4billion.

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Is the group of planar rotations of a square isomorphic to Z4 or to the Klein 4-group V4? Prove your claim. Solution The symmetry group of this cross is the Klein four-group. It can be flipped horizontally or vertically or both and remain unchanged. Unlike a square, though, a quarter-turn rotation will change the figure. The Klein four-group is the smallest non-cyclic group. All non-identity elements of the Klein group have order 2. It is abelian, and isomorphic to thedihedral group of order (cardinality) 4. It is also isomorphic to the direct sum Z2 ? Z2, so that it can be represented as the bit strings {00, 01, 10, 11}under bitwise XOR. An elementary construction of the Klein four-group is the multiplicative group { 1, 3, 5, 7 } with the action being multiplication modulo 8. Here a is 3, b is 5, and c=ab is 3.

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Investments in stocks that are expected to be held for the long term are listed in the stockholders equity section of the balance sheet. True or false Investments in stocks that are expected to be held for the long term are listed in the stockholders equity section of the balance sheet. True or false Solution Given statement is False Investment in stocks is asset, shown in the assets side but stockholders equity is section under liabilities and shareholders’ equity..

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Involvement of the top officers in corporate crimes increases the penalty under the U.S. sentencing guidelines. True False Solution Yes. As per the US sentences guidelines, the involvement of the top officers of the company increases the severity of the crime. This severity of crime makes the offence more rampant and other parties have to suffer a lot. Apart from that, the interest of other stakeholders are also on risk. That’s why, this involvement increases the penalty..

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Inflation and Nominal Returns. Suppose the real rate is 3.2 percent and the inflation rate is 4.3 percent. What rate would you expect to see on a Treasury bill? Solution Real rate of interest = 3.2% Inflation rate = 4.3% The relationship between nominal, real interest rates with inflation is Real rate of interest = Nominal rate of interest - Inflation rate Rearranging the equation, Nominal rate of interest = Real rate of interest + Inflation rate Nominal rate of interest = 3.2% + 4.3% = 7.5% Hence we can expect a treasury bill to yield 7.50%.

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Inflation in the developing country of Terbia has been rising over the last few years and is currently at a very high level. Two stock market analysts, Stanley Durro and Michelle Thompson, are discussing the possible causes of inflation. Michelle thinks that the real reason why prices are rising is because Terbia\'s economy is expanding. Stanley disagrees. He argues that the inflation is not demand driven; on the contrary, too much money in the economy is increasing the price level. s cuff Which of the following, if true, would strengthen Michelle\'s argument? OA The growth rate of per capita income in Terbia has been higher than the population growth rate for the last five OB. In order to reduce its budget deficit, the Terbian government increased the marginal tax rates last year. Oc. The central bank is planning to deregulate interest rates on savings deposits. OD. The central bank of Terbia has conducted open market sales of bonds twice in the last one year. OE. Terbia has a significant presence in global trade and its currency is used as the world\'s reserve currency The growth rate of per capita income in Terbia has been higher than the population growth rate for the last five years OA- OE. Terbia has a significant presence in global trade and its currency is used as the world\'s reserve currency Solution The correct answer is: D. The central bank of Terbia has conducted open market sales of bonds twice in the last one year. -------------------------------------------------------------------------------------------- The correct answer is: B. The government of Dorada scaled up its defense expenditure by more than 50 percent in the last two years..

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