document.write( "Question 713850: an author of mystery books received a royalty check for $350,000 and decides to keep $50,000 and invest the remainder. He invests some in certificates of desposit (CDs) that have an annual yield at 3% and the remainder in mutual funds which have an anticipated return of 4.5%. If the total returns from the two investments are $11,625 per year, find the amount in each investment?\r
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Algebra.Com's Answer #438585 by mananth(16946)\"\" \"About 
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CD's 3.00% per annum ------------- Amount invested =x
\n" ); document.write( "MF 4.50% per annum ------------ Amount invested = y =
\n" ); document.write( " 300000
\n" ); document.write( "Interest----- 11625
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\n" ); document.write( "CD's 3.00% per annum ---x
\n" ); document.write( "MF 4.50% per annum ---y
\n" ); document.write( "Total investment
\n" ); document.write( "x + 1 y= 300000 -------------1
\n" ); document.write( "Interest on both investments
\n" ); document.write( "3.00% x + 4.50% y= 11625
\n" ); document.write( "Multiply by 100
\n" ); document.write( "3 x + 4.5 y= 1162500.00 --------2
\n" ); document.write( "Multiply (1) by -3
\n" ); document.write( "we get
\n" ); document.write( "-3 x -3 y= -900000.00
\n" ); document.write( "Add this to (2)
\n" ); document.write( "0 x 1.5 y= 262500
\n" ); document.write( "divide by 1.5
\n" ); document.write( " y = 175000
\n" ); document.write( "CD's 3.00% $ 125000
\n" ); document.write( "MF 4.50% $ 175000
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\n" ); document.write( "CHECK
\n" ); document.write( "125000 --------- 3.00% ------- 3750.00
\n" ); document.write( "175000 ------------- 4.50% ------- 7875.00
\n" ); document.write( "Total -------------------- 11625.00
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