The annual returns on Sid Carrington's three investments amounted to $17,490: 5% on a savings account, 8% on mutual funds, and 12% on bonds. The amount of Sid's investment in bonds was twice the amount of his investment in the savings account, and the interest earned from his investment in bonds was equal to the dividends he received from his investment in mutual funds. Find how much money he placed in each type of investment. (Let x, y, and z denote the amount, in dollars, in savings, mutual funds, and bonds, respectively.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
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The annual returns on Sid Carrington's three investments amounted to $17,490: 5% on a savings account, 8% on mutual funds, and 12% on bonds. The amount of Sid's investment in bonds was twice the amount of his investment in the savings account, and the interest earned from his investment in bonds was equal to the dividends he received from his investment in mutual funds. Find how much money he placed in each type of investment. (Let xy, and z denote the amount, in dollars, in savings, mutual funds, and bonds, respectively.)

 
 
 
___?___ = 17,490
 
 
 
 ___?___= 2x
 
 
 
 ___?___= 0.08y
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