Set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-Jordan elimination. Assume the interest rates are annual. Karen borrowed S$25,000 to buy a truck for her business. She borrowed from her parents who charge her 4% simple interest. She borrowed from a credit union that charges 7% simple interest, and she borrowed from a bank that charges 2% simple interest. She borrowed five times as much from her parents as from the bank, and the amount of interest she paid at the end of 1 yr was $1150. How much did she borrow from each source? Karen borrowed S from her parents, $Į from the credit union, and S from the bank.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 39EQ
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Set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-Jordan
elimination. Assume the interest rates are annual.
Karen borrowed $25,000 to buy a truck for her business. She borrowed from her parents who charge her 4% simple interest. She
borrowed from a credit union that charges 7% simple interest, and she borrowed from a bank that charges 2% simple interest.
She borrowed five times as much from her parents as from the bank, and the amount of interest she paid at the end of 1 yr was
$1150. How much did she borrow from each source?
Karen borrowed $ from her parents,
from the credit union, and
from the
bank.
Transcribed Image Text:Set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-Jordan elimination. Assume the interest rates are annual. Karen borrowed $25,000 to buy a truck for her business. She borrowed from her parents who charge her 4% simple interest. She borrowed from a credit union that charges 7% simple interest, and she borrowed from a bank that charges 2% simple interest. She borrowed five times as much from her parents as from the bank, and the amount of interest she paid at the end of 1 yr was $1150. How much did she borrow from each source? Karen borrowed $ from her parents, from the credit union, and from the bank.
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