document.write( "Question 803692: Betsy, a recent retiree, requires $6000 per year in extra income. She has $50000 to invest and can invest in B-rated bonds paying 15% per year or in a certificate of deposit paying 7% per year. How much money should be invested in each to realize exactly $6000 in interest per year? \n" ); document.write( "
Algebra.Com's Answer #484445 by mananth(16946)\"\" \"About 
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Part I 15.00% per annum ------------- Amount invested =x
\n" ); document.write( "Part II 7.00% per annum ------------ Amount invested = y
\n" ); document.write( " 50000
\n" ); document.write( "Interest----- 6000.00
\n" ); document.write( "
\n" ); document.write( "Part I 15.00% per annum ---x
\n" ); document.write( "Part II 7.00% per annum ---y
\n" ); document.write( "Total investment
\n" ); document.write( "x + 1 y= 50000 -------------1
\n" ); document.write( "Interest on both investments
\n" ); document.write( "15.00% x + 7.00% y= 6000
\n" ); document.write( "Multiply by 100
\n" ); document.write( "15 x + 7 y= 600000.00 --------2
\n" ); document.write( "Multiply (1) by -15
\n" ); document.write( "we get
\n" ); document.write( "-15 x -15 y= -750000.00
\n" ); document.write( "Add this to (2)
\n" ); document.write( "0 x -8 y= -150000
\n" ); document.write( "divide by -8
\n" ); document.write( " y = 18750 - x)
\n" ); document.write( "Part I 15.00% $ 31250
\n" ); document.write( "Part II 7.00% $ 18750
\n" ); document.write( "
\n" ); document.write( "CHECK
\n" ); document.write( "31250 --------- 15.00% ------- 4687.50
\n" ); document.write( "18750 ------------- 7.00% ------- 1312.50
\n" ); document.write( "Total -------------------- 6000.00
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\n" ); document.write( "m.ananth@hotmail.ca
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