SOLUTION: A woman has some stocks that yield 5% annually and some bonds that yield 10%. If her investment totals $6,000 and her annual income from the investments is $400, how much does she
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Question 632829: A woman has some stocks that yield 5% annually and some bonds that yield 10%. If her investment totals $6,000 and her annual income from the investments is $400, how much does she have invested in stocks and how much in bonds ?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Stocks 5.00% per annum ------------- Amount invested =x
Bonds 10.00% per annum ------------ Amount invested = y
6000
Interest----- 400
Stocks 5.00% per annum ---x
Bonds 10.00% per annum ---y
Credit on both cards
x + 1 y= 6000 -------------1
Interestto be paid on both
5.00% x + 10.00% y= 400
Multiply by 100
5 x + 10 y= 40000.00 --------2
Multiply (1) by -5
we get
-5 x -5 y= -30000.00
Add this to (2)
0 x 5 y= 10000
divide by 5
y = 2000
Stocks 5.00% $ 4000
Bonds 10.00% $ 2000
CHECK
4000 --------- 5.00% ------- 200.00
2000 ------------- 10.00% ------- 200.00
Total -------------------- 400.00
m.ananth@hotmail.ca
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