document.write( "Question 890688: Ms. Adams received a bonus check for $15,000. She decided to divide the money among three different investments. With some of the money, she purchased a municipal bond paying 5.4% simple interest. She invested twice the amount she paid for the municipal bond in a certificate of deposit paying 4.7% simple interest. Ms. Adams placed the balance of the money in a money market account paying 3.4% simple interest. If Ms. Adams' total interest for one year was $625, how much was placed in each account? \n" ); document.write( "
Algebra.Com's Answer #539296 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Adams received a bonus check for $15,000. \n" ); document.write( "divides the money among three different investments. \n" ); document.write( " municipal bond paying 5.4% simple interest. \n" ); document.write( " invested twice the amount in a certificate of deposit paying 4.7% simple interest \n" ); document.write( " the balance of the money in a money market account paying 3.4% simple interest. \n" ); document.write( "total interest for one year was $625, how much was placed in each account? \n" ); document.write( ": \n" ); document.write( "Let x = amt in 5.4% bonds \n" ); document.write( "then \n" ); document.write( "2x = amt in 4.7% cds \n" ); document.write( "and \n" ); document.write( "15000-3x = amt paying 3.4% \n" ); document.write( ": \n" ); document.write( ".054x + .047(2x) + .034(15000-3x) = 625 \n" ); document.write( ".054x + .094x + 510 - .102x = 625 \n" ); document.write( ".046x = 625 - 510 \n" ); document.write( ".046x = 115 \n" ); document.write( "x = 115/.046 \n" ); document.write( "x = 2500 \n" ); document.write( "therefore we have \n" ); document.write( "$2500 in bonds (x) \n" ); document.write( "$5000 in cds (2x) \n" ); document.write( "$7500 in Money Mkt acct (15000-3x) \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this find the total \n" ); document.write( ".054(2500) + .047(5000) + .034(7500) = \n" ); document.write( " |