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12. Interest of $35.88 is earned at 3.15% on a deposit of $4550 is how many months? 13. What amount of money will accumulate to $545.00 in 95 days at 4.6%? 14. Debt payments of $1200 in five months and $1600 in ten months are schedule to be due. If interest at 6.5% is to be allowed, what single payment today is required to settle the two scheduled payments? 15. A loan payment of $4200 was due 80 days ago, and another payment of $1800 is due in 40 days from now. What single payment 70 days from now will pay off the two obligations if interest is to be 8% and the agreed focal date is 70 days from now? 16. When Danny borrowed $2400, he agreed to repay the loan in two equal payments, to be made 90 days and 130 days from the day the money was borrowed. If interest is 8.25% on the loan, what is the size of the equal payments if a focal date of today is used? 17. A 6-month note for $18,200, with interest at 8% is issued on April 1, 2018. Find present value on June 20. 2018 if money is worth 7.2%. 18. What is the price of a 95 days, $150,000 Government of Canada treasury bill that yields 0.53% per annum?Perfect Competition: Alternate Project Your family recently began operating a car wash at a beach resort. There are many other car washes at this beach resort. You have observed that the customers care only about finding the cheapest price for car washes; they do not care which company they use. Your family purchased the equipment and the building for the car wash. To cover this expense, they took out a small business loan. The cost of the loan comes to $15 per day for the next 3 years (whether they are selling car washes or not). This is their fixed cost. The business must hire labor and purchase cleaning solutions, car wax, etc. to operate the car wash. This is their variable cost and depends on how many car washes are sold per day. After some research you have figured out the cost for labor and supplies which is provided in the cost table below. When the beach resort is in-season, you have observed that you can charge a price of $14.00 per car wash. When the resort is off-season, the demand for car washes is much lower. You are only able to charge a price $4.67 per car wash. Right now the resort is in-season. Currently you are selling 17 car washes per day. Your family warts your advice. Complete the costs table provided below and answer all the questions that follow: Average Average Fixed Variable Total Variable Total Marginal Quantity Cost Cost Cost Cost Cost Cost $15.00 $0.00 N/A N/A N/A $15.00 $10.67 $15.00 $12.67 $15.00 $16.00 $15.00 $20.67 $15.00 $26.67 6 $15.00 $34.00 1-J $15.00 $42.67 $15.00 $52.67 9 $15.00 $64.00MetroPCS Wi-Fi ~ 8:49 AM @ 7 0 100% $3.us-east-1.amazonaws.com 1 of 2 Homework 7 Solve algebraically 1. Find the absolute extreme values of: ((x) = x - 12can [-3.3] 2. Find the absolute extreme values of: /(x) = 2x - 5x* on [-1, 3] 1. Find the abiolute extreme values of: /(x) = x* + 4x' + 4x on [-2.1] 4. The fuel economy Inn miles per gallon) of an treerage American midined car in "(x) = -Doin + Quidx + 10,4, where s is driving speed (20 S a $ 60), At what speed is the fuel economy the greatuit? The value of a timber for it after t year is V() - 480v7 - 40r Clor 0 6 : $ 50). Find when its value is maximized. Country Motorbikes Inc finds that it costs $200 to produce each motorbike, and that fined couts are $1500 per day. The price function in p = 600 - 5x, whate p is the price in dollars at which mikly s motorbikes will be sold. Find the quantity Country Motorbikes should produce and the price it should charge to mimic profit. Also, find the maximum profit. 7. A real estate company wants to build a parking lot along the side of one of its buildings using 80 feet of fence. If the side along the building needs no fence, what are the dimensions of the Lazyport possible parking lot? A farmer wants to make two identical rectangular endowres along a straight river, If he has too yards of fence, and if the sides along the river need no fence. what should be the dimension of watch enclosure if the total area is to be maximized? An open top box is to be made from a square piece of cardboard that measures 18 inches by 18 inches by removing a square from each comer and folding up the sides. What are the dimeraions and volume of the largest possible box that can be made like this? 10. A car dealer can sell 12 cars per day at the price of $15000, He estimates that for each $ 100 price reduction, he can pell two move cars per day. If each car costs him $12 009 and find Out are $1030, what price should he change to maximize his profit? How many cars will he will at this price 11 An airline finds that if I prices a cross-country ticket at $200, It will vell 300 tickets per day. It estimates that each $10 price reduction will result in 30 more tickets sold per day. Find the ticket price (and the number of tickets sold) that will maximize the airline's revenue. 12 An open top box with a inquire bate is to have a volume of 4 cubic feet. Find the dimension of the box that can be made with the smallest amount of material. 13. A homeowner wants to build, along his driveway. a garden surrounded by a fence. If the garden hi to be 800 square feet, and the fence along the driveway costs $6 per foot while on the other thieme sidea it coats only 52 per square foot, find the dimensions that will minimise cost. Aha, find the minimum obit. 14. A certain boll averages 36,000 cars per day when charging $1 per car. A survey concludes that Increating the boll will rewit in 300 fewer car's for each cent increase. What toll should be charged tom in mice revenue? 15. Until recently hamburgers and the city sports arena coil $4 each. The food concesionaire sold an awir not of 10,000 hamburgers on a game night. When the price was increased to 14 40, hamburger sales dropped to an average of 800 per night al Awwming a linear demand curve, find the price of a hamburger that will mandimine the nightly hamburger revenue bj if the concessionaire has fixed costs of $1090 per night and the variable coat is $ 10 per hamburger, find the price of a hamburger that will maximise the nightly hamburger profitRaeford charges $1.750 per car. Required: (Be sure to label ALL relevant amounts and calculations) 10 points a. Advise Raeford on how many cabinets he should build sell per month so that his business will be at break even. b. What if Raeford decides to raise the price of the cabinets to $2.000/car? How will your answer to #1 change? c. Before making the price change, what should Raeford think about and consider regarding his business? Be specific.\"1,,ng Coffee to pay US$180 million to settle SEC charges of accounting fraud as it inated numbers to rival Starbucks\