Solve the following applications by setting up and solving a system of three equations in three variables. Note that some equations may have only two of the three variables used to create the system. Investment/Finance and Simple Interest Problems 54. Investing the winnings: After winning $280,000 in the lottery, Maurika decided to place the money in three different investments: a certificate of deposit paying 4%, a money market certificate paying 5%, and some Aa bonds paying 7%. After 1 she earned $15,400 in interest. Find how much yr was invested at each rate if $20,000 more was invested at 7% than at 5%. 55. Purchase at auction: At an auction, a wealthy collector paid $7,000,000 for three paintings: a Monet, a Picasso, and a van Gogh. The Monet cost $800,000 more than the Picasso. The price of the van Gogh was $200,000 more than twice the price of the Monet. What was the price of each painting? Descriptive Translation 56. Major wars: The United States has fought three major wars in modern times: World War II, the Korean War, and the Vietnam War. If you sum the years that each conflict ended, the result is 5871. The Vietnam War ended 20 years after the Korean War and 28 vears after World W

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,...
Question

#54 using the matrix method 

Solve the following applications by setting up and
solving a system of three equations in three variables.
Note that some equations may have only two of the three
variables used to create the system.
Investment/Finance and Simple Interest Problems
54. Investing the winnings: After winning $280,000
in the lottery, Maurika decided to place the money
in three different investments: a certificate of
deposit paying 4%, a money market certificate
paying 5%, and some Aa bonds paying 7%. After
1
she earned $15,400 in interest. Find how much
yr
was invested at each rate if $20,000 more was
invested at 7% than at 5%.
55. Purchase at auction: At an auction, a wealthy
collector paid $7,000,000 for three paintings: a
Monet, a Picasso, and a van Gogh. The Monet cost
$800,000 more than the Picasso. The price of the
van Gogh was $200,000 more than twice the price
of the Monet. What was the price of each painting?
Descriptive Translation
56. Major wars: The United States has fought three
major wars in modern times: World War II, the
Korean War, and the Vietnam War. If you sum the
years that each conflict ended, the result is 5871.
The Vietnam War ended 20 years after the Korean
War and 28 vears after World W
Transcribed Image Text:Solve the following applications by setting up and solving a system of three equations in three variables. Note that some equations may have only two of the three variables used to create the system. Investment/Finance and Simple Interest Problems 54. Investing the winnings: After winning $280,000 in the lottery, Maurika decided to place the money in three different investments: a certificate of deposit paying 4%, a money market certificate paying 5%, and some Aa bonds paying 7%. After 1 she earned $15,400 in interest. Find how much yr was invested at each rate if $20,000 more was invested at 7% than at 5%. 55. Purchase at auction: At an auction, a wealthy collector paid $7,000,000 for three paintings: a Monet, a Picasso, and a van Gogh. The Monet cost $800,000 more than the Picasso. The price of the van Gogh was $200,000 more than twice the price of the Monet. What was the price of each painting? Descriptive Translation 56. Major wars: The United States has fought three major wars in modern times: World War II, the Korean War, and the Vietnam War. If you sum the years that each conflict ended, the result is 5871. The Vietnam War ended 20 years after the Korean War and 28 vears after World W
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