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,...


At the beginning of 2019, January 1, three siblings Joan, Stonewall and Georgina were given<br>an amount of GHS 5000 to be shared and invested in an interest bearing account. Joan was<br>given an amount x, with which she was able to negotiate an interest of 5% per annum.<br>Stonewall was, also, given an amount y, which he invested in an account that pays an interest<br>of 10% per annum. Georgina, on the other hand, was given an amount z, which she invested in<br>an account that eamed her an interest of 8% per annum on her investment. At the end of the<br>year, the three siblings were able to eam a total interest of GHS 345. In addition, the amount<br>of given to Georgina is GHS 420 more than the amount invested by her two siblings combined.<br>(i) Write down the three linear equations and represent them in the matrix form AX = B.<br>(ii) Find the amount of money given to each of the 3 siblings using matrix inversion<br>

Extracted 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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Jun 04, 2022
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