document.write( "Question 1087766: Diana inherits $45,000 and decides to invest part of it in an education account for her daughter and the rest in a 10-year CD. If the amount she puts in the education account is $12,000 more than twice the amount she puts in the CD, how much money does Diana invest in each account? Define unknown quantities with one variable and show all work. \n" ); document.write( "
Algebra.Com's Answer #702055 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Diana inherits $45,000 and decides to invest part of it in an education account for her daughter and the rest in a 10-year CD. \n" ); document.write( " If the amount she puts in the education account is $12,000 more than twice the amount she puts in the CD, how much money does Diana invest in each account? \n" ); document.write( ": \n" ); document.write( "let x = amt invested in the CD \n" ); document.write( "\"the amount she puts in the education account is $12,000 more than twice the amount she puts in the CD,\", therefore \n" ); document.write( "2x + 12000 = amt invested in the ed acct \n" ); document.write( ": \n" ); document.write( "cd + ed acct = $45,000 \n" ); document.write( "x + (2x+12000) = 45000 \n" ); document.write( "3x + 12000 = 45000 \n" ); document.write( "3x = 45000 - 12000 \n" ); document.write( "3x = 33000 \n" ); document.write( "x = 33000/3 \n" ); document.write( "x = $11,000 invested in the cd \n" ); document.write( "then \n" ); document.write( "2(11000) + 12000 = $34,000 invested in the ed acct \n" ); document.write( " |