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Sagot :
Answer:
Let us assume Maricopa invested X amount in CDs, then she would have invested X+30000 in bonds
We know Amount Invested in CDs + Amount invested in Bonds + Amount Invested in Stocks = 90000
As we earlier discussed Amount Invested in CDs = X, Amount Invested in X + 30000 putting these in above equation
X + X + 30000 + Amount invested in stocks = 90000
2X+ 30000 + Amount invested in stocks = 90000
Taking 2X + 30000 to right hand side of equation
Amount invested in stocks = 90000 - 30000 - 2X
= 60000 - 2X
Now Interest on CDs = 4.25 % * Amount invested in CDs = 4.25/100 * X = 0.0425 X
Interest on bonds = 4.3/100 % * Amount invested in Bonds = 4.3/100 * (30000 + X)= 1290 + 0.043X
Interest on stocks = 8.6/100% * Amount invested in stocks = 8.6/100 * (60000 - 2X) = 5160 - 0.172X
Total Interest = 5153
Adding all the interest calculated
0.0425X + 1290+ 0.043X + 5160 - 0.172X = 5153
(0.0425X + 0.043X - 0.172X) + (1290+5160) = 5153
-0.0865 X + 6450 = 5153
0.0865 X = 6450 - 5153
0.0865 X = 1297
X = 15000
CDs amount = $15000
Bonds amount = $45000
Stocks amount = $30000
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