A small software corporation borrowed $335,000 to expand its software line. Some of the money was borrowed at 9%, some at 10%, and some at 12%. Use a system of equations to determine how much was borrowed at each rate if the annual interest was $34,600 and the amount borrowed at 10% was 2% times the amount borrowed at 9%. Solve the system using matrices. amount borrowed at 9% amount borrowed at 10% amount borrowed at 12%

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Matrices And Determinants
Section7.2: Operations With Matrices
Problem 11ECP
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A small software corporation borrowed $335,000 to expand its software line. Some of the money was borrowed at 9%, some at 10%, and some at 12%. Use a system of equations to determine how much was borrowed at each rate if the annual interest
was $34,600 and the amount borrowed at 10% was 2½ times the amount borrowed at 9%. Solve the system using matrices.
amount borrowed at 9%
$
amount borrowed at 10%
amount borrowed at 12%
Transcribed Image Text:A small software corporation borrowed $335,000 to expand its software line. Some of the money was borrowed at 9%, some at 10%, and some at 12%. Use a system of equations to determine how much was borrowed at each rate if the annual interest was $34,600 and the amount borrowed at 10% was 2½ times the amount borrowed at 9%. Solve the system using matrices. amount borrowed at 9% $ amount borrowed at 10% amount borrowed at 12%
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