Question Roulanta Ltd. invests in a project that has the following annual information. Fixed costs are $2000, depreciation is $1000, sales revenue is $11,950 and variable costs are 68.5 percent of revenues.If sales increase by 5 percent, what will be the percentage increase in pretax profits? a. 25 percent b. 5 percent c. 10 percent d. 15 percent e. 20 percent

Indicate whether each of the following statements is true or false. Support your answers with the relevant explanations. A. Modigliani and Miller’s Proposition II says that the cost of equity is independent of the firm’s capital structure. (Explain your reasoning.) [6 marks] B. Modigliani and Miller’s Proposition II assumes that increased borrowing does not affect the interest rate on the firm’s debt. (Explain your reasoning.) [6 marks] C. Borrowing does not increase the firm’s cost of capital only if there is no risk of bankruptcy. (Explain your reasoning.) [6 marks] D. In the presence of corporate taxes, a company would prefer to raise debt only when the benefits of the tax shield fully offset the cost of debt. (Explain your reasoning – in your explanation, provide a numerical example supporting your answer.) [6 marks] E. The CAPM implies that the expected rate of return changes linearly with the systematic risk. (Explain your reasoning.) [6 marks]

Video rankings. The InstaVid social network collects user preferences by ask ing them to rank their favorite videos. One of the features of InstaVid is offering friendship suggestions for users with similar tastes, using the following metric If user One ranks the videos using the sequence 1,2,..., n same videos using the sequence ul, U2, . . . , Un of Video rankings. The InstaVid social network collects user preferences by ask ing them to rank their favorite videos. One of the features of InstaVid is offering friendship suggestions for users with similar tastes, using the following metric If user One ranks the videos using the sequence 1,2,..., n same videos using the sequence ul, U2, . . . , Un of numbers 1, 2, . . . , n, then their social distance is computed by counting all pairs (u,リfrom the ranking of Tuo that satisfy the condition vi > vj for i < j. For example, if the user One ranks four videos as 1,2,3, 4 and Two ranks them as 3,1,2,4 then their social distance is 2 because of the pairs (3,1) and (3,2) in the rankings of Two. , and user Tu o ranks (i) Design an algorithm social_distance (prefa, prefb) with time complexity in e(n2) that computes the social distance for users with video rankings prefa and prefb. Please write your solution in the form of a Python function. Justify the run time of your code (ii) Improve your algorithm using divide and conquer approach. Fully analyse your algorithm; you may use the Master Theorem. Write your solution in the form of a Python function. (You may also write pseudocode if desired; we will not run your code anyway, but it is aceptable to actually implement your code in Python and copy it in your soluton.)

Find lambda and v The matrix. 10 1.- [ 3 -3] A= has an eigenvalue of multiplicity 2 with corresponding eigenvector i. Find , and i. has an eigenvector ū

A solid sphere of radius 40 cm has a total positive charge of 26 μC uniformly distributed throughout its volume. Calculate the magnitude of the electric field (a) 0 cm, (b) 10 cm, (C) 40 cm and (d) 60 cm from the center of the sphere.

The weights of a certain brand of candies are normally distributed with a mean weight of 0.8602 g and a standard deviation of 0.0521 g. A sample of these candies came from a package containing 456 candies, and the package label stated that the net weight is 389.2 g.​ (If every package has 456 ​candies, the mean weight of the candies must exceed 389.2 / 456 =0.8534 g for the net contents to weigh at least 389.2 ​g.) a. If 1 candy is randomly​ selected, find the probability that it weighs more than 0.8534 g.

Which of the following methods is best to have when a network goes down? O In-band management Site-to-site VPN Client-to-site VPN O Out-of-band management Kate, a network administrator, has been tasked with staying within the company budget. She has a large network and doesn't want to spend more than she needs to on purchasing and registering multiple public IP addresses for each of the hosts on her network. Which of the following methods could help her provide internet access but also keep costs low and limit the number of registered IP addresses her organization needs to purchase? Use Network Address Translation. Use Layer 2 switches 0 Use Layer 3 switches. Use PoE devices