Mathematics Homework Solutions

Graig Mabasa Company acquires a delivery truck at a cost of $30,000.

Graig Mabasa Company acquires a delivery truck at a cost of $30,000. The truck is expected to have a salvage value of $2,000 at the end of its 4-year useful life. Compute annual depreciation for the first and second years using the straight-line method.

WACC : Weighted Average Cost of Capital

What I am attempting to do is to calculate WACC for a company and I have all sorts of data, but I don't know what goes where!

Weighted Average Cost of Capital (WACC)

Please see the attached file for the fully formatted problems. 5). Calculate the W.A.C.C. of the company and Compare to the R.O.I.C as derived from EVA. a. Use data from the financial statements. b. Use published interest rates on the notes to the financial statements. c. Cost of equity estimation. d. Example of WACC from ...continues

Probability : Bracket (Cup) System

Q. The 'cup' system for determining the champion amongst 2^n players consists of drawing lots to arrange the players in 2^n-1 pairs who are to play each other, then repeating this with the 2^n-1 winners of these matches, and so on. The winner and loser of the final match recieve the first and second prizes repectively. Suppose ...continues

Probabilities and Set Theory

Please see the attached file for the fully formatted problems. Let (Omega, A) be a measurable space, and P:A--> [0,infinity] an application such that P(AUB) = P(A) + P(B) when A,B E A and A intersection B = ø, and P(Omega) = 1 . Prove that the following statements are equivalent: (i) P is a probability (ii) P is continuous ...continues

Probabilities and Set Theory

Please see the attached file for the fully formatted problems. Let (Omega, A, P) be a probability space. We consider a series of mesurable sets (An)nEnCA . Prove that P(lim infnAn).... Prove that if the series is convergent, we have continuity, i.e. ...

Proof : Lebesgue Measure

Show that if mu is the Lebesgue measure on R^2 (R = set of real numbers), then for every line D we have mu(D) = 0 .

Probabilities and Set Theory

We say that an event A E A is nearly certain if A is nearly certainly equal to OMEGA. In other words, OMEGA = AUN , where N is a negligeable set.

Probabilities : Darts on a Dartboard

My uncle plays darts on a circular dart board of radius 20 cm. He assumes a dart lands anywhere on the board with equal probability. a) What is the probability that his dart lands less than 5 cm from the centre of the board? b) That his dart lands exactly 5 cm from the centre? c) My uncle wants to divide his board into ten ...continues

Cartesian product of finitely many countable sets

I need help constructing a proof for the Cartesian product of finitely many countable sets is countable.

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