A new CD player costs 3,000, if the value of the equipment depreciates annually with a geometric progression and the CD player's value in year 4 is 1,500. Calculate the value of the CD player in year 2
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- If a household has 3 members, and has an annual income of $100,000, predict this household’s monthly spending.A store has two managers, one who believes that high profits come from lowering prices and getting more customers and another who believes that high profits come from raising prices and making more profit per customer. These managers get to choose prices in alternate weeks. For each case, In week 1, the “low price” manager cuts prices by 50%. In week 2, the “high price” manager raises prices by 50%, and so forth. Suppose an item started out at $100.a. Find the price after 1, 2, 3, and 4 weeks.b. Find a formula for the price after t weeks (break into the two cases, t even and t odd).c. Which of the managers wins?A manufacturer of lightweight mountain tents makes a standard model and an expeditionmodel for national distribution. Each standard tent requires 1 labour hour from the cuttingdepartment and 3 labour hours from the assembly department. Each expedition tent requires 2labour hours from the cutting department and 4 labour hours from the assembly department.The maximum labour hours available per day in the cutting department and the assemblydepartment are 32 and 84 respectively. If the company makes a profit of E50 on each standardtent and E80 on each expedition tent, use the graphical method to determine how many tentsof each type should be manufactured each day to maximize the total daily profit?
- At the BMV, suppose that the length of time you must wait before speaking to a customer service representative is linearly related to the number of people who are in line in front of you. If there are 8 people in line in front of you, you will wait 44 minutes, and if there are 14 people in front of you, you will wait 68 minutes. How long will you wait if there are 10 people in front of you?The college graduates of 2000 could hardly have asked for better luck. The unemployment rate dropped to 4.1 % in May 2000- roughly, the lowest level in a generation- and employers were literally scrambling for new hires. Starting salaries rose, many graduating seniors had numerous job offers, and some firms even offered $10,000- $20,000 bonuses to students who signed the dotted line. Three years later, the job market for the Class of 2003 was rather different. U.S. economic growth had slowed to a crawl, and then to a halt. Companies that had stocked up on recent college grads in the tighter labour markets of 1998-2000 found themselves with more than they knew what to do with in 2002 and 2003. They were not eager to hire more. Bonuses and other “perks” disappeared; job offers became scarcer. With the unemployment rate around 6% in May and June of 2003, the job market was far from the worst ever. But it was nothing like the glory days of 2000. YOU ARE REQUIRED TO: (iv) Briefly…Suppose the chamber of commerce in Pinehurst, North Carolina decided to hold a professional golf tournament at the famous Pinehurst Country Club. They would probably be able to get a TV contract from a major network. The TV revenue would be about $4 million, and they would sell 60,000 tickets at $8 apiece. The fund for prizes would be 20% of their total revenue (TV plus tickets) rounded to the nearest $10,000. The prizes would be as follows (all prizes are rounded to the nearest dollar): First prize: 18% of the total prize money Second prize: 60% of the first prize Third prize: 65% of the second prize Fourth prize: 70% of the third prize Fifth prize: 75% of the fourth prize Sixth prize: 6% of the remaining prize money Seventh prize: $900 less than sixth prize Eighth prize: $900 less than seventh prize And so on, with each subsequent prize $900 less than the previous prize. The final prize would be whatever was left over, even if it…
- A movie rental company has 1000 subscribers, and each pays $15 per month. On the basis of a survey, company managers feel that for each decrease of $0.25 on the monthly rate, they could obtain 20 additional subscribers. At what rate will maximum revenue be obtained and how many subscribers will it take at that rate?Consider that there is data plan A has a monthly fee of $52 with a charge of $18 per GB and data plan B has a monthly fee of $32 with a charge of $22 per GB. Find how many GB of data will the costs for the two data plans to be the same.A person is choosing between two cellphone plans. Data Plan A has a monthly fee of $40 with a charge of $13 per gigabyte (GB). Data Plan B has a monthly fee of $30 with a charge of $23 per GB. Complete parts a and b below. a) For how many GB of data will the costs for the two data plans be the same? What will be the cost for each plan?
- Which of these methods to pay for college will rashad need to pay backOn November 27, 1993, the New York Times reported that wildlife biologists have found a direct link between the increase in the human population in Florida and the decline of the local black bear population. From 1953 to 1993, the human population increased, on average, at a rate of 8% per year, while the black bear population decreased at a rate of 6% per year. In 1953 the black bear population was 11,000. The 1993 human population of Florida was 13 million. What was the human population in 1953? Find the black bear population for 1993. Had this trend continued, when would the black bear population have numbered less than 90?Formulate an IP that can be used to maximize Highland’s profit. How much more profit could be attained if Highland rented another 50 sq. ft. of floor space? How much should Highland be willing to pay for this extra footage? How much more profit could be attained if marketing changed their requirement so that only 40% of all appliances in stock be radios (keeping the floor space at 200 sq. ft.)? How much more profit could be attained if Highland was willing to have $3500 worth of capital tied-up (keeping the floor space at 200 sq. ft. and the marketing requirement at 40%)? How should Highland decide if it is worthwhile to increase this value?