Integrate by substitution. Then evaluate your answer at x = 0 with a .pdf

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Integrate by substitution. Then evaluate your answer at x = 0 with a constant of integration C = 3. Type only the final numerical value, rounded to the nearest hundredth. Integral 3 e^6x+1 dx Solution let u = 6x + 1, then (1/6) du = dx --> (1/6) int 3e^u du --> (3/6)e^(6x+1) + C --> (1/2)e^(6x+1) + C at x = 0 and C = 3, (1/2)e + 3 answer.

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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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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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