document.write( "Question 286674: Susan purchased some municipal bonds yielding 9% annually and some certificates of deposit yielding 10% annually. If Susan’s investment amounts to $17,000 and the annual income is $1640, how much money is invested in bonds and how much is invested in certificates of deposit? \n" ); document.write( "
Algebra.Com's Answer #207913 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Susan purchased some municipal bonds yielding 9% annually and some certificates of deposit yielding 10% annually. If Susan’s investment amounts to $17,000 and the annual income is $1640, how much money is invested in bonds and how much is invested in certificates of deposit? \n" ); document.write( "---------------------------------------------------- \n" ); document.write( "Equations: \n" ); document.write( "Value: b + c = 17000 \n" ); document.write( "Interest: 0.09b + 0.10c = 1640 \n" ); document.write( "----------------------------------------------------- \n" ); document.write( "Multiply thru 1st Eq. by 9 \n" ); document.write( "Multiply thru 2nd Eq by 100 \n" ); document.write( "---------------------------------------------- \n" ); document.write( "9b + 9c = 9*17000 \n" ); document.write( "9b + 10c = 164000 \n" ); document.write( "------------------------------ \n" ); document.write( "Subtract 1st from 2nd and solve for \"c\": \n" ); document.write( "c = $11,000 (Invested in certificates) \n" ); document.write( "---- \n" ); document.write( "Since b + c = 17000, b = $6000 (Invested in bonds) \n" ); document.write( "===================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |