A small software corporation borrowed $85,000 to expand its software line. The corporation borrowed some of the money at 3%, some at 4%, and some at 5%. Use a system of equations to determine how muchwas borrowed at each rate when the annual interest was $3,800 and the amount borrowed at 4% was2- times the amount borrowed at 3%. Solve the system using matrices.amount borrowed at 3%$amount borrowed at 4%$amount borrowed at 5%$ Determine the value(s) of k such that the system of linear equations has the indicated number of solutions. (Enter your answers as a comma-separated list.)Infinitely many solutions4x + ky = 10kx + у %3D —-5k =

Since you have posted a multiple question according to guildlines I will solve first question for…

Answered: A small software corporation borrowed…

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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The admission fee at an amusement park is $10.75 for children, $16 for adults, and $15 for seniors. On Monday, 6806 people entered the park, and the admission fees collected totaled $87332. Typically on any given day, the number of seniors who enter the park is about 500 less than the number of adults who come. On Monday, how many children, seniors, and adults were admitted? Write a system of equations; solve using your calculator and the matrix key. Answer: There were children, adults, and seniors.
Set up a system of linear equations for each question. Write each system as an augmented matrix. You do not have to solve the systems. Company X plans to spend $500,000 on 20 new computers. Each model A computer will cost $2,000, each model B $2,500, and each model C $3,500. Company X has decided that they need twice as many model A computers as Model B computers. How many of each kind of computers can the company buy? A baseball park has 7000 seats. Box seats cost $6, grandstand seats cost $4, and bleacher seats cost $2. When all seats are sold, the revenue is $26,400. If the number of box seats is one-third the number of bleacher seats, how many seats of each type are there? The population of a state was approximately 24 million in 1980, 30 million in 1990, and 34 million in 2000. Construct a model for this data by finding a quadratic equation whose graph passes through the points (0,24), (10,30), and (20,34). Hint: You need to setup a system of linear…
-3 Complete the augmented matrix which corresponds to the system of linear equations: %3D -x = 12 -12
A chemical plant produces products D, E, F, and G. There are twice as many D as E produced on a daily basis. There are twice as many F as the sum of D and E produced on a daily basis. The total amount of products produced daily is 10. The same amounts of D and G were produced. Write out the system of linear equations, and solve it using matrices.
you have to use each of these a. A+B b. A-B c. -4A d. 3A+2B to solve the matrix
There are 5,500 Scandinavians on a large cruise ship. They are all from either Norway, Sweden, or Finland. There are twice as many Finns as Norwegians and four times as many Swedes as Finns. Individually, how many Swedes, Finns, and Norwegians are on the ship? Write the three equations: Write the Augmented matrix: Solve using elementary row operations:
A small software corporation borrowed $315,000 to expand its software line. The corporation borrowed some of the money at 3%, some at 4%, and some at 5%. Use a system of equations to determine how much was borrowed at each rate when the annual interest was $13,500 and the amount borrowed at 4% was 22/12/2012 times the amount borrowed at 3%. Solve the system using matrices. amount borrowed at 3% $ amount borrowed at 4% $ amount borrowed at 5% $
A Sillall software corporation borrowed $115,000 to expand its software line. The corporation borrowed some of the money at 3%, some at 4%, and some at 5%. Use a system of equations to determine how much was borrowed at each rate when the annual interest was $5,300 and the amount borrowed at 4% was times the amount borrowed at 3%. Solve the system using matrices. amount borrowed at 3% amount borrowed at 4% $ amount borrowed at 5% Need Help? Master It Read It Submit Answer

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