You had 20 cherries. You gave 3 to each of your friends. You still have 2 left over. How many friends do you have? ​

An investment offers $6,100 per year for 15 years, with the first payment occurring one year from now. (Do not round intermediate calculations. Round the final answers to 2 decimal places. Omit $ sign in your response.) If the required return is 6%, what is the value of the investment? Present value $ What would the value be if the payments occurred for 40 years? Present value $ What would the value be if the payments occurred for 75 years? Present value $ What would the value be if the payments occurred forever? Present value $ A consumer has a Cobb-Douglas utility function 1/4 U(X1,x2) = x/*x* where x1, x2 denote the consumption of cars and jets, respectively. The prices of the goods are pl, p2 and the consumer's income is m. a) Find the demand functions for cars and jets that maximise the consumer's utility. b) Confirm that your answer to (a) represents a constrained maximum What are the 5 major actions that Ming should take? Describe them in detail and explain why they are necessary? How, and in what sequence should these actions be taken?2. Make a Project Gantt Chart showing these 5 actions as well as the sub steps for each action.3. Describe the role and responsibilities of Ming as a team leader and manager of the Canadian Office. What traits and skills should Ming have as a team leader? What leadership model or style should she adopt? 1. To start Tyme bank, what type of decision did African Rainbow Capital Investments (ARC Investments) make and under what condition is this decision typically made? Motivate your answer. 2. Apply the steps of rational decision-making to the decision of the CEO Tauriq Keraan to launch an account for small businesses, responsibly offering consumers unsecured credit. 3. Apply the steps of rational decision-making to the decision of a consumer at Absa who is unhappy with the fees to switch to Tyme Bank. 4. During step three of the decision-making process the consumer decides to use the weighted average model. Based on the information below, which bank will be the best for the consumer? Using T-accounts for Second Bank, please show the initial effects of the following events. Use a separate T- account for each. a. A check of $4000 is deposited into a checking account. b. $2000 in cash is withdrawn from a savings account. c. Second Bank receives a loan payment of $1000 in cash. d. An open market purchase of $200 million. The Fed buys $200 million worth of securities from Second Bank. when analyzing comparative market data to recommend a listing price to a seller . which of the following is not a factor a salesperson would consider ?1 - current market conditions2 - Sellers cost of selling3 - Dates of comparable sales4 - motivation of the sales 6. An investor is considering investing in a certain stock portfolio. Any investment cannot be removed for 1 year. The investor believes that there is a chance the portfolio could return a range of growths from -10% to +10%, but with an expected growth of 3%. Assuming the investor has a probability distribution for any growth value, describe how a stochastic and a deterministic model could be used to calculate the expected value of the portfolio after 1 year. Explain, in terms of this situation, some of the benefits and limitations of using each model. Casey Nelson is a divisional manager for Pigeon Company. His annual pay raises are largely determined by his division's return on investment (ROI), which has been above 23% each of the last three years. Casey is considering a capital budgeting project that would require a $4,100,000 investment in equipment with a useful life of five years and no salvage value. Pigeon Company's discount rate is 19%. The project would provide net operating income each year for five years as follows Sales Variable expenses $4,000,000 1,840,000 Contribution margin Fixed expenses: 2,160,000 Advertising, salaries, and other fixed out-of-pocket costs Depreciation $760,000 820,000 Total fixed expenses 1,580,000 Net operating income $ 580,000 Click here to view Exhibit 11B-1 and Exhibit 11B-2, to determine the appropriate discount factor(s) using tables. Required 1. What is the project's net present value? (Use the appropriate table to determine the discount factor(s).) Net present value Acme Parts Ltd (APL) is a small manufacturing company that produces various parts for tool manufacturers. One of APLs production processes involves producing a metal spacer plate that has a tolerance of 0.05 to 0.10 cm in thickness. On the recommendation of the quality assurance (QA) department and over objections of the plant manager, APL had just purchased some new equipment to make these parts. Recently, the production manager was receiving complaints from the customers about high levels of nonconforming parts. There are a few numbers of customer return the product to APL. The production manager suspected that the problems might occur from the new equipment.(a) Describe how does the production manager know that the company is producing a nonconforming part.(b) Discuss THREE (3) consequences of poor quality to the internal and external customer. (6 Marks)(c) Follow by the series of the problems, the management intended to conduct an internal audit. Explain briefly the audit methodology. Identify the graph of the polar equation r = 4 cos 20. a) Rose with 4 leaves b) Rose with 6 leaves c) Rose with 2 leaves d) Rose with 3 leaves Let the principal is 30,000USD and the annual interest rate is 4%.Then, calculate the total amount of principal and interest under the following systems and period:Please fill in the answer in the blankUnder the system of 1-year compound interest,a. a half year later, the total amount is ( 1 ) USDb. 1 year later, the total amount is ( 2 ) USD andc. 2 years later, the total amount is ( 3 ) USD The table represents a linear relationship.x 2 0 2 4y 1 0 1 2 Moderna, Inc. is expected to pay a fixed dividend of $2.50 for many years to come. How much should you pay to purchase one share of Moderna's stock if you require a 12.5% rate of return on this investment? A. $40. B. $20. C. $25. D. $10. Match the type of cash flow on the left with the affect on the balance sheet account on the right. i Instructions Cash flow from operating activities Cash flow from investing activities Cash flow from financing activities Fixed assets and investments in securities Long-term debt and equity Current assets and liabilities __________ is feedback provided after a series of practice attempts that informs learners about their average performance. If the nominal interest rate for bank overdraft is 7.82%, compounded quarterly, what would be the after-taxcost of Bank Overdraft? Assume a tax rate of 30%.(Write the answer in decimal form, using properly-rounded to 4-decimal places. For example, if the answer is12.34%, write 0.1234) Which will cause auto insurance premiums to be higher? A. Owning a more expensive car. B. Living and driving in a rural area. C. Being an older more experienced driver. D. Using the car for leisure only. Direct Labor Cost Budget Harbour Inc. budgeted production of 258,000 personal journals in 20Y6. Each journal requires assembly. Assume that 6 minutes are required to assemble each journal. If assembly labor costs $16.50 per hour, determine the direct labor cost budget for 2016 Social networking technologies can help a company create virtual communities of practice thatSelect one:a. encourage disgruntled employees t their frustrations.b. discourage socialising so that individual employees can get their work done.c. allow employees to develop new workplace skills.d. link employees to others with similar professional interests throughout the organisation. 1 (12x+3x-10x+3)dx 36x + 6x - 10 x4+x-5x+3+c 3x4+x-5x+3x+c 3x4+x-5x +c O