At the beginning of 2019, January 1, three siblings Joan, Stonewall and Georgina were given an amount of GHS 5000 to be shared and invested in an interest bearing account. Joan was given an amount x, with which she was able to negotiate an interest of 5% per annum. Stonewall was, also, given an amount y, which he invested in an account that pays an interest of 10% per annum. Georgina, on the other hand, was given an amount z, which she invested in an account that eamed her an interest of 8% per annum on her investment. At the end of the year, the three siblings were able to eam a total interest of GHS 345. In addition, the amount of given to Georgina is GHS 420 more than the amount invested by her two siblings combined. (i) Write down the three linear equations and represent them in the matrix form AX = B. (ii) Find the amount of money given to each of the 3 siblings using matrix inversion
At the beginning of 2019, January 1, three siblings Joan, Stonewall and Georgina were given an amount of GHS 5000 to be shared and invested in an interest bearing account. Joan was given an amount x, with which she was able to negotiate an interest of 5% per annum. Stonewall was, also, given an amount y, which he invested in an account that pays an interest of 10% per annum. Georgina, on the other hand, was given an amount z, which she invested in an account that eamed her an interest of 8% per annum on her investment. At the end of the year, the three siblings were able to eam a total interest of GHS 345. In addition, the amount of given to Georgina is GHS 420 more than the amount invested by her two siblings combined. (i) Write down the three linear equations and represent them in the matrix form AX = B. (ii) Find the amount of money given to each of the 3 siblings using matrix inversion
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:At the beginning of 2019, January 1, three siblings Joan, Stonewall and Georgina were given
an amount of GHS 5000 to be shared and invested in an interest bearing account. Joan was
given an amount x, with which she was able to negotiate an interest of 5% per annum.
Stonewall was, also, given an amount y, which he invested in an account that pays an interest
of 10% per annum. Georgina, on the other hand, was given an amount z, which she invested in
an account that eamed her an interest of 8% per annum on her investment. At the end of the
year, the three siblings were able to eam a total interest of GHS 345. In addition, the amount
of given to Georgina is GHS 420 more than the amount invested by her two siblings combined.
(i) Write down the three linear equations and represent them in the matrix form AX = B.
(ii) Find the amount of money given to each of the 3 siblings using matrix inversion
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