# Mathematics

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Carletta has \$10,000 to invest. As her financial consultant you recommend that she invest in Treasury Bills that yield 6%, Treasury Bonds that yield 7%, and coroporate bonds that yield 8%. Carletta wants to have an annual income of \$680, and the amount invested in corporate bonds must be half that invested in Treasury Bills. Find the amound she should place in each investment using matrix.

• Mathematics -

why use a matrix for such a simple question?

let the amount invested at corporate bonds be \$x
then the amount invested in treasurey bonds is \$2x
then the amount invested in treasure bills is 10000-x-2x

then .06(10000-3x) + .07(2x) + .08x = 680

solve for x

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