Question Solved1 Answer (e) Let f : A + B and g: B C be functions. Prove that if gof is one-to-one then f is also one-to-one. [5]

The average monthly electric bill of a manufacturing plant is 2000 the production manager of the plant planned to increasethe power factor from an average of 70% to 90% by connecting four of 15 KVAR power condensers which can be procured at 1500 each and gain a monthly savings of 150 the installation cost is 500 annual maintenance cost is 200. Salvage value is 10% of its initial value for a life of 10 years. If interest is 10% compounded annually, how long will the power condensers pay for themselves?

The probability that a randomly selected man from the certain age group runs slower than 5.66 mph is 0.2119. (You can check this, for practice, but it's true.) Calculate the probability the man runs between 5.66 and 8.65 mph, using this and your answer to the previous question. To help you accomplish this, consider the following three pictures of areas under the normal bell curve. This depicts the probability the man is slower than 8.65 mph. -3 -2 - 1 0 1 2 3 This depicts the probability the man is slower than 5.66 mph. This depicts the probability the man is slower than 5.66 mph. -3 -2 - 1 0 1 2 3 This depicts the probability the mans runs between 5.66 and 8.65 mph. i -3 n

Statement of Retained Earnings Use the following information to find dividends paid to common stockholders during 2021.GivensBalance of retained earnings, December 31, 2020$462m.Plus: Net income for 2021 15m. Total available = 477Less: Cash dividends paidPreferred stock$1m.Common stock ? Total cash dividends pair ?Balance of retained earnings, December 31, 2018$470m.

The market price of cheeseburgers in a college town decreased recently, and the students in an economics class are debating the cause of the price decrease. Some students suggest that the price decreased because the price of beef, an important ingredient for making cheeseburgers, has decreased. Other students attribute the decrease in the price of cheeseburgers to a recent decrease in the price of calzones at local pizza parlors. Everyone agrees that the decrease in the price of calzones was caused by a recent decrease in the price of pizza dough, which is not generally used in making cheeseburgers. Assume that burger joints and pizza parlors are entirely separate entities—that is, there aren't places that serve both cheeseburgers and calzones. The first group of students thinks the decrease in the price of cheeseburgers is due to the fact that the price of beef, an important ingredient for making cheeseburgers, has decreased. On the following graph, adjust the supply and demand curves to illustrate the first group's explanation for the decrease in the price of cheeseburgers. Note: Select and drag one or both of the curves to the desired position. Curves will snap into position, so if you try to move a curve and it snaps back to its original position, just drag it a little farther. Supply Demand Supply PRICE (Dollars per cheeseburger) I Demand QUANTITY (Cheeseburgers) The second group of students attributes the decrease in the price of cheeseburgers to the decrease in the price of calzones at lo On the following graph, adjust the supply and demand curves to illustrate the second group's explanation for the decrease in the cheeseburgers. Supply Demand Supply PRICE (Dollars per cheeseburger) 1 1 Demand QUANTITY (Cheeseburgers) Suppose that both of the events you have just analyzed are partly responsible for the decrease in the price of cheeseburgers. Based on your analysis of the explanations offered by the two groups of students, how would you figure out which of the possible causes was the dominant cause of the decrease in the price of cheeseburgers? Whichever change occurred first must have been the primary cause of the change in the price of cheeseburgers. O O If the price decrease was small, then the supply shift in the market for cheeseburgers must have been larger than the demand shift. If the equilibrium quantity of cheeseburgers decreases, then the supply shift in the market for cheeseburgers must have been larger O than the demand shift. If the equilibrium quantity of cheeseburgers decreases, then the demand shift in the market for cheeseburgers must have been larger than the supply shift.

Required information [The following information applies to the questions displayed below.] Karlik Enterprises distributes a single product whose selling price is $24 per unit and whose variable expense is $18 per unit. The company's monthly fixed expense is $24,000. Required: 1. Prepare a cost-volume-profit graph for the company up to a sales volume of 8,000 Required information [The following information applies to the questions displayed below.] Karlik Enterprises distributes a single product whose selling price is $24 per unit and whose variable expense is $18 per unit. The company's monthly fixed expense is $24,000. Required: 1. Prepare a cost-volume-profit graph for the company up to a sales volume of 8,000 units. (Use the line tool to draw three lines (Total Sales Revenue, Fixed Expense, Total Expense). Each line should only contain the two endpoints. For your graph to grade correctly, you must enter the exact coordinates. Once all points have been plotted, click on the line (not individual points) and a tool icon will pop up. You can use this to enter exact co-ordinates for your points as needed. To remove a line from the graph, click on the line and select delete option.) Your Graph Score: 83% CVP Graph 4000 Volume in Units $200,000 $150,000 Dollars $100,000 $50,000 50 2000 6000 8000

545 Statement of Cash Flows: VALIUM'S MEDICAL SUPPLY CORPORATION Balance Sheet as of December 31, 2021 and 2020 (in millions of dollars) 2021 2020 2021 2020 Assets Liabilities and Equity Current assets Current Liabilities Cash and marketable $74 573 Accrued wages and taxes SS8 securities Accounts receivable 199 189 Accounts payable 159 145 Inventory 322 291 Notes payable 131 131 Total S595 5553 5348 5321 Fixed assets Long-term debt 55651 5549 Gross plant and equipment $1,084 5886 Stockholders' equity Less: Accumulated 153 116 Preferred stock (6 thousand S6 S6 Depreciation shares) Net plant and equipment $931 770 Common stock and paid in 120 120 surplus (100 thousand shares) Other long term assets 130 130 Retained earnings 617 457 Total 51,061 $900 Total 5743 5583 Total assets $1,656 S1,453 Total liabilities and $1.656 1,453 equity Total VALIUM'S MEDICAL SUPPLY CORPORATION Income Statement for Years Ending December 31, 2021 and 2020 (in millions of dollars) 2021 2020 Net sales S88 S 798 Less: Cost of Goods Sold 387 350 Gross Profit S 501 $ 448 Less: Other operating expenses 48 Earnings before interest, taxes, depreciation and amortization (EBITDAS 453 S 406 Less Depreciation 37135 Earings before interest and taxes (EBIT) S 416 S 371 Less: Interest 46 40 Earnings before Taxes (EBT) S 370 5331 Less: Taxes 78701 Net income S 292 S 261 Less: Preferred stock dividends So $6 Net income available to common stockholders $ 286 255 Less: Common stock dividends 126 126 Addition to retained earnings S 160 $ 129 Per common) share data: Eamings per share (EPS) S 2.86$ 2.35 Dividends per sharc (DPS) $ 1.26 $ 1.26 Book value per share (BVPS) S 7.375 5.77 Market Value (price) per share (MVPS) S 8.405 6.25 Questions: Use the balance sheet and income statement given above to construct a statement of cash flows for Valium's Medical Supply Corporation.