SOLUTION: Rhianna invests $1200 in stock and bonds. The stock pays 9% interest and the bonds pay 6% interest. If the total ANNUAL interest is $96, how much is invested in the stock alone?
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Question 970699: Rhianna invests $1200 in stock and bonds. The stock pays 9% interest and the bonds pay 6% interest. If the total ANNUAL interest is $96, how much is invested in the stock alone?
A)
$400
B)
$500
C)
$700
D)
$800
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Rhianna invests $ in stock and bonds .
The stock pays = interest and the bonds pay = interest.
.........eq.1
.........eq.2
----------------------------------------------------
from eq.2
.......substitute in eq.1
.............solve for
If the total ANNUAL interest is $, in the stock alone is invested $.
then, in the bond is invested $
check:
The stock pays of $:
$
The bond pays of $:
$
then, which confirms our solution
so, answer is
D)
$
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