A small software corporation borrowed $290,000 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 $12,700 and the amount borrowed at 4% was 2- times the amount borrowed at 3%. Solve the system using matrices. amount borrowed at 3% %24 amount borrowed at 4% amount borrowed at 5% %24 %24 %24

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 76E
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A small software corporation borrowed $290,000 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 $12,700 and the amount borrowed at 4% was 2 times the amount borrowed at 3%. Solve the
system using matrices.
amount borrowed at 3%
amount borrowed at 4%
$4
amount borrowed at 5%
Transcribed Image Text:A small software corporation borrowed $290,000 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 $12,700 and the amount borrowed at 4% was 2 times the amount borrowed at 3%. Solve the system using matrices. amount borrowed at 3% amount borrowed at 4% $4 amount borrowed at 5%
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