Please don't provide handwritten solution ..... A tank initially contains 50 gal of pure water. Brine containing 3 lb of salt per gallon enters the tank at 2 gal/min, andthe (perfectly mixed) solution leaves the tank at 3 gal/min. Thus, the tank is empty after exactly 50 min.(a) Find the amount of salt in the tank after t minutes.(b) What is the maximum amount of salt ever in the tank?3(a) The amount of salt x in the tank after t minutes is x = 3(50-t) -2500(b) The maximum amount of salt in the tank was about lb.(Type an integer or decimal rounded to two decimal places as needed.)(50 – t) ³

According to the given information, let x(t) denote the amount of salt in the tank at time t, t in…

Answered: A tank initially contains 50 gal of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Steeve would like to own a stock in either EasySoft Corporation or SuperSneeze International. If EasySoft Corporation has stock price of $6.30 and earnings per share of $1.89, and SuperSneeze International has a stock price of $1.70 and earnings per share of $0.136. Which company would Steeve choose to invest in? Why?
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Write a complete solution including all necessary calculations, formulas, and a listing of all variables and their values Compare by % age boys test scores in Canada to boys test scores in Japan. Compare by %age girls test scores in South Korea to girls test scores in Russia
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Sara is a 57-year-old graphic designer who wants to retire 5 years from now. She earns $54,000/year and does not expect any raises if she stays in her job. Her daughter has told her about a new job opportunity that would offer a much higher salary, but to become eligible Sara would need to quit her job and spend a year taking classes. If she did that, next year she would earn $0 and pay $42,000 in tuition, and then she would earn $81,000/year for the final 4 years of her career. Sara likes the duties of the two jobs equally well, so this is strictly a financial issue for her. The interest rate is r. Question: How will she decide? Write down the calculation she will make. Would she be more likely to change jobs if the interest rate were higher or lower?
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The Metropolitan Bus Company (MBC) purchases diesel fuel from American PetroleumSupply. In addition to the fuel cost, American Petroleum Supply charges MBC $250 perorder to cover the expenses of delivering and transferring the fuel to MBC’s storage tanks.The lead time for a new shipment from American Petroleum is 10 days; the cost of holding a gallon of fuel in the storage tanks is $0.04 per month, or $0.48 per year; and annualfuel usage is 150,000 gallons. MBC buses operate 300 days a year.a. What is the optimal order quantity for MBC?b. How frequently should MBC order to replenish the gasoline supply?c. The MBC storage tanks have a capacity of 15,000 gallons. Should MBC considerexpanding the capacity of its storage tanks?d. What is the reorder point?
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