document.write( "Question 694153: A retired couple has $170,000 to invest to obtain annual income. They want some of it invested in safe Certificates of Deposit yielding 7%. The rest they want to invest in AA bonds yielding 12% per year. How much should they invest in each to realize exactly $17,900 per year? \n" ); document.write( "
Algebra.Com's Answer #427757 by mananth(16946)![]() ![]() You can put this solution on YOUR website! CD 7.00% per annum ------------- Amount invested =x \n" ); document.write( "AA bonds 12.00% per annum ------------ Amount invested = y \n" ); document.write( " 170000 \n" ); document.write( "Interest----- 17900 \n" ); document.write( " \n" ); document.write( "CD 7.00% per annum ---x \n" ); document.write( "AA bonds 12.00% per annum ---y \n" ); document.write( "Total investment \n" ); document.write( "x + 1 y= 170000 -------------1 \n" ); document.write( "Interest on both investments \n" ); document.write( "7.00% x + 12.00% y= 17900 \n" ); document.write( "Multiply by 100 \n" ); document.write( "7 x + 12 y= 1790000.00 --------2 \n" ); document.write( "Multiply (1) by -7 \n" ); document.write( "we get \n" ); document.write( "-7 x -7 y= -1190000.00 \n" ); document.write( "Add this to (2) \n" ); document.write( "0 x 5 y= 600000 \n" ); document.write( "divide by 5 \n" ); document.write( " y = 120000 \n" ); document.write( "CD 7.00% $ 50000 \n" ); document.write( "AA bonds 12.00% $ 120000 \n" ); document.write( " \n" ); document.write( "CHECK \n" ); document.write( "50000 --------- 7.00% ------- 3500.00 \n" ); document.write( "120000 ------------- 12.00% ------- 14400.00 \n" ); document.write( "Total -------------------- 17900.00 \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |