Country Day's scholarship fund receives a gift of $ 145000. The money is invested in stocks, bonds, and CDs. CDs pay 2.75 % interest, bonds pay 3 % interest, and stocks pay 8.5 % interest. Country day invests $ 50000 more in bonds than in CDs. If the annual income from the investments is $ 5637.5 , how much was invested in each vehicle?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Country Day's scholarship fund receives a gift of $ 145000. The money is invested in stocks, bonds, and CDs. CDs pay 2.75 % interest, bonds pay 3 % interest, and stocks pay 8.5 % interest. Country day invests $ 50000 more in bonds than in CDs. If the annual income from the investments is $ 5637.5 , how much was invested in each vehicle? 

Write the augmented matrix of the system and use it to solve the system. If the system has an infinite number
of solutions, express them in terms of the parameter z.
18x
бу
3z
- 78
-
27x
11y
9z
- 106
-
-
— 9х +
3y
+
3z
36
X =
y =
Z =
||
Transcribed Image Text:Write the augmented matrix of the system and use it to solve the system. If the system has an infinite number of solutions, express them in terms of the parameter z. 18x бу 3z - 78 - 27x 11y 9z - 106 - - — 9х + 3y + 3z 36 X = y = Z = ||
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