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Investment Planning A bank wishes to invest a $100,000 trust fund in three sources: a bond fund paying 8%; a health sciences fund paying 7%;

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Investment Planning A bank wishes to invest a $100,000 trust fund in three sources: a bond fund paying 8%; a health sciences fund paying 7%; and a real estate fund paying 10%. The bank wishes to realize an $8000 an- nual income from the investment. A condition of the trust is that the total amount invested in the bond fund 73: and the health sciences fund must be triple the amount invested in the real estate fund. How much should the bank invest in each possible category? Let x, y, and z, respectively, be the amounts invested in the bond fund, the health science fund, and the real estate fund. Solve the system of equations by the Gauss-Jordan elimination method

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