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Mathematical Calculation Good Day, My mathematical problem is as follows: Say I need to calculate the amount to invest on 6 companies to get a profit of say $300-00 plus the amount I invested on all 6 companies. As per the table pasted below, I need a formula to calculate the invest amount for each company so that I will always have a profit of $300-00. Hint: Only 1 company gives a return and the rest you loose. Hint 2: I tried to calculate the Lowest Common multiple to resolve this but it does not always work. Please assist. Company Return RateInvestment AmountTarget Profit $ A5.4?300 B8.9?300 C11.1?300 D6.7?300 E4.3?300 F7.1?300 Jowi South Africa nkwejm@telkomsa.net

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Following formula we can use.

S=P(1+RT)
WHERE S =INVEST AMOUNT+PROFIT
P=INVEST AMOUNT
R= RATE OF RETURN
T=TIME IN YEARS

EX : (300+x) = x(1+(5.4/100)*1)
(300+x)*100 = 105.4x
x=30000/5.4
x=5555. 4

Posted on Feb 19, 2008

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An mXn matrix has m rows and n columns. To perform multiplication of an kXl matrice by an mXn matrix you multiply each element in one row of the first matrix by a specific element in a column of the second matrix. This imposes a condition, namely that the number of columns of the first matrix be equal to the number of rows of the second.
Thus, to be able to multiply a kXl matrix by am mXn matrix, the number of columns of the first (l) must be equal to the number of rows of the second (m).

So MatA(kXl) * MatB(mXn) is possible only if l=m
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To get back to your calculation, make sure that the number of columns of the first matrix is equal to the number of rows of the second. If this condition is not satisfied, the calculator returns a dimension error. The order of the matrices in the multiplication is, shall we say, vital.

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1 Answer

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The following was written for the Casio FX-991 ES. If matrix calculations are available on your calculator you will perform them as described below. ( I have no time to verify that the FX-991ms can perform matrix calculations).

Let me explain how to create matrices. (If you know how to do it, skip to the operations on matricies, at the end.)

First you must set Matrix calculation
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To get back to your calculation, make sure that the number of columns of the first matrix is equal to the number of rows of the second. If this condition is not satisfied, the calculator returns a dimension error. The order of the matrices in the multiplication is, shall we say, vital.

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