Need only handwritten solution only (not typed one). Payment of $968 due 2 months ago and $415due today are to be repaid by a payment of$400 one month from today and the balance in11 months from now. If money is worth 4%compounded monthly, and the agreed focaldate is 11 months from today. What is the sizeof the final payment? Please express youranswer to the nearest dollar. Sample input:2456 for $2456.

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Answered: Payment of $968 due 2 months ago and…

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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A high school dietician is planning menus for the upcoming month. Anew item will be spaghetti with sauce. The dietician wants each serving tocontain at least 10 grams of protein and at least 40 grams of carbohydrates.Spaghetti contains 5 grams of protein and 32 grams of carbohydrates per cup,and the sauce contains 4 grams of protein and 5 grams of carbohydrates percup. For aesthetic reasons, the dietician wants a ratio of spaghetti to sauce to be4:1.Spaghetti costs $0.30 per cup to buy and prepare, and the sauce $0.40 per cupto buy and prepare. The dietician wants to minimize the cost per serving andkeep the calories per serving 330 or less. The sauce contains 100 calories percup, and spaghetti contains 160 calories per cup.Formulate a linear programming model for this problem.
My boss warms up for her trip in switzerland for the winter. He will be lagging three tops over each other and two pair of mittens. If he has fifteen tops and ten pair of mittens, how many ways can he layer up?
A tank can be filled by 2 water keys together in 3 hours with 3 quarters. The main key would be able to fill it by itself in 4 hours less than the other one. In how many hours can each key fill the tank separately?
A homeowner wants to build, along his driveway, a garden surrounded by a fence. A rectangular garden has been enclosed along a side of a driveway. The enclosure is bordered by a length of fence along the driveway (a long side), another long side of fence, and two short sides of fence. The side along the driveway is labeled "$6 per foot" while the remaining three sides are labeled "$2 dollars per foot." If the garden is to be 1,800 square feet, and the fence along the driveway costs $6 per foot while on the other three sides it costs only $2 per foot, find the dimensions (in ft) that will minimize the cost. length along the driveway ft length perpendicular to the driveway ft Find the minimum cost (in dollars). $
Travis's carpet has an area of 180 square feet. He hires the CarpetPro carpet cleaning service, which is able to clean 9 square feet of his carpet every minute. Therefore, in the first minute, CarpetPro is able to clean 9 square feet of Travis's carpet (leaving 171 square feet remaining to be cleaned). In the second minute, the cleaner is again able to clean 9 square feet of carpet (leaving 162 square feet to be cleaned), etc. Which of the following functions expresses the number of square feet that still remain to be cleaned after t minutes from the time that the carpet cleaner began cleaning this carpet. A(t)=180−0.9t A(t)=180(0.1)t A(t)=180(0.9t) A(t)=180−9t A(t)=180−0.1t
There are a total of 114 oak and pine trees on a piece of land. There are 26 fewer oak trees than pine trees. There is a regulation that the number of oak trees on this piece of land cannot exceed one-third of the total number of trees. Find how many oak and pine trees are on this piece of land and determine whether the solution is viable or nonviable. There are 36 oak trees and 78 pine trees. The solution is viable. There are 36 oak trees and 78 pine trees. The solution is nonviable. There are 44 oak trees and 70 pine trees. The solution is nonviable. There are 44 oak trees and 70 pine trees. The solution is viable.

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