Kelly Fisher has a total of $40,000 invested in two municipal bonds that have yields of 7% (bond A) and 9% (bond B) interest per year, respectively. If the interest Kelly receives from the bonds in a year is $3,440, how much did she invest in each bond? Formulate a system of equations that can be used to find the solution where x is the number of dollars invested in bond A and y is the number of dollars invested in bond B. (Do not perform any row operations.) = 40,000 = 3,440 Write the augmented matrix corresponding to the system. (Do not reorder the equations. Let the first column represent x and the second column represent y.) 40,000 $ $ 3,440 Using the Gauss-Jordan elimination method, pivot the matrix about the first entry in the first row. State the result. 640 Continue using the Gauss-Jordan elimination method until the final matrix is in row-reduced form. State the solution. (x, y) = ]) How much does she have invested in each bond? bond A bond B.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Kelly Fisher has a total of $40,000 invested in two municipal bonds that have yields of 7% (bond A) and 9% (bond B) interest per year, respectively. If the interest Kelly receives
from the bonds in a year is $3,440, how much did she invest in each bond?
Formulate a system of equations that can be used to find the solution where x is the number of dollars invested in bond A and y is the number of dollars invested in bond B. (Do not
perform any row operations.)
= 40,000
= 3,440
Write the augmented matrix corresponding to the system. (Do not reorder the equations. Let the first column represent x and the second column represent y.)
40,000
3,440
Using the Gauss-Jordan elimination method, pivot the matrix about the first entry in the first row. State the result.
$
$
640
Continue using the Gauss-Jordan elimination method until the final matrix is in row-reduced form. State the solution.
(x, y) =
How much does she have invested in each bond?
bond A
bond B.
Transcribed Image Text:Kelly Fisher has a total of $40,000 invested in two municipal bonds that have yields of 7% (bond A) and 9% (bond B) interest per year, respectively. If the interest Kelly receives from the bonds in a year is $3,440, how much did she invest in each bond? Formulate a system of equations that can be used to find the solution where x is the number of dollars invested in bond A and y is the number of dollars invested in bond B. (Do not perform any row operations.) = 40,000 = 3,440 Write the augmented matrix corresponding to the system. (Do not reorder the equations. Let the first column represent x and the second column represent y.) 40,000 3,440 Using the Gauss-Jordan elimination method, pivot the matrix about the first entry in the first row. State the result. $ $ 640 Continue using the Gauss-Jordan elimination method until the final matrix is in row-reduced form. State the solution. (x, y) = How much does she have invested in each bond? bond A bond B.
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