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Answer:
x=400000\\y=600000\\z=1000000
Step-by-step explanation:
Given that a trust account manager has $2,000,000 to be invested in three different accounts. The accounts pay 6%, 8%, and 10%, and the goal is to earn $172,000 with the amount invested at 10% equal to the sum of the other two investments.
To accomplish this, assume that x dollars are invested at 8%, y dollars at 10%, and z dollars at 6%.
The equations formed would be
Interest amount =
these three can be written in matrix form as
The inverse of the matrix is
X = A inverse *B
Using this we get