A man had 3 children Ama, Fiifi and Ebo, whom he gave an amount of 8000 to be shared among them. At the start of the year 2020, the three siblings decided to invest their share in an interest-bearing account. They were able to negotiate different interest rate for their investment based on their negotiating skills. In particular, Ama, Fiifi and Ebo were able to negotiate 5%, 10% and 8% respectively on their investment. At the end of the year, 2018, the three siblings were able to earn a total interest of ¢600. In addition, supposed the amount of money given to Ebo is ¢300 more than the amount given by her two siblings combined. a) Write down the three linear equations. b) Represent them in the matrix form Ax = b c) Find the determinant of the matrix A d) Find the amount of money given to each of the 3 siblings using matrix inversion

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
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A man had 3 children Ama, Fiifi and Ebo, whom he gave an amount of 8000 to be shared among them.
At the start of the year 2020, the three siblings decided to invest their share in an interest-bearing
account. They were able to negotiate different interest rate for their investment based on their
negotiating skills. In particular, Ama, Fiifi and Ebo were able to negotiate 5%, 10% and 8% respectively
on their investment. At the end of the year, 2018, the three siblings were able to earn a total interest of
¢600. In addition, supposed the amount of money given to Ebo is ¢300 more than the amount given by
her two siblings combined.
a) Write down the three linear equations.
b) Represent them in the matrix form Ax = b
c) Find the determinant of the matrix A
d) Find the amount of money given to each of the 3 siblings using matrix inversion

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