Question 109232
A trust account manager has $500,000 to be invested in three different accounts. The accounts pay 8%, 10%, and 14%, respectively, and the goal is to earn $49,000 with the amount invested at 8% equal to the sum of the other two investments. To accomplish this, assume that x dollars are invested at 8%, y dollars are invested at 10%, and z dollars are invested at 14%. 
a. Write an equation that describes the sum of money in the three investments.
x+y+z = 500,000
b. Write an equation that describes the total amount of money earned by the three investments.
0.08x+0.10y+0.14z = 49000
c. Write an equation that describes the relationship among the three investments.
x-y-z=0
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d. solve the system of equations to find how much should be invested in each accournt to satisfy the conditions.
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I used the TI-83 Matrix capability to find 
x = 250,000
y = 150,000
z = 100,000
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Cheers,
Stan H.