document.write( "Question 518744: Susan had $20,000 to invest. She decided to invest part of it in a high-risk bond that yields 8.2% annual interest, and the rest in a savings bank yielding 3.9% per year. What least amount should she invest in the high-risk bond if she wants to receive at least $1,000 interest per year? \n" ); document.write( "
Algebra.Com's Answer #345250 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Investment II 8.20% per annum ---x \n" ); document.write( "Investment II 3.90% per annum ---y \n" ); document.write( " \n" ); document.write( "x + y= 20000 ------------------------1 \n" ); document.write( "8.20% x + 3.90% y= = $1,000.00 \n" ); document.write( "Multiply by 100 \n" ); document.write( "8.2 x + 3.9 y= = $100,000.00 --------2 \n" ); document.write( " \n" ); document.write( "Multiply (1) by -8.2 \n" ); document.write( "we get \n" ); document.write( " \n" ); document.write( "-8.2 x -8.2 y= = -164000.00 \n" ); document.write( " \n" ); document.write( "Add this to (2) \n" ); document.write( " \n" ); document.write( "0 x -4.3 y= = -$64,000.00 \n" ); document.write( " \n" ); document.write( "divide by -4.3 \n" ); document.write( " \n" ); document.write( " y = $14,883.72 investment at \n" ); document.write( "Balance $5,116.28 investment at \n" ); document.write( "CHECK \n" ); document.write( "$5,116.28 --------- 8.20% ------- $419.53 \n" ); document.write( "$14,883.72 ------- 3.90% ------- $580.47 \n" ); document.write( "Total ------- $1,000.00 \n" ); document.write( " \n" ); document.write( " |