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

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
icon
Related questions
icon
Concept explainers
Topic Video
Question

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

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 39 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning