document.write( "Question 1205761: a person invests 5000 in treasury notes and bonds the notes pay 8% annual interest and the bonds pay 10% annual interest if the annual income is 480 how much is invested in treasury notes
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #842776 by ikleyn(52914)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "Let x be invested in treasury notes.\r\n" );
document.write( "\r\n" );
document.write( "Then (5000-x) is invested in bonds.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Write the total annual interest equation\r\n" );
document.write( "\r\n" );
document.write( "    0.08x + 0.1*(5000-x) = 480.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplify and find x\r\n" );
document.write( "\r\n" );
document.write( "    0.08x + 500 - 0.1x = 480\r\n" );
document.write( "\r\n" );
document.write( "    0.08x - 0.1x       = 480 - 500\r\n" );
document.write( "\r\n" );
document.write( "        -0.02x         =    -20\r\n" );
document.write( "\r\n" );
document.write( "             x         =   \"%28-20%29%2F%28-0.02%29\" = 1000.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  1000 is invested in treasury notes.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "CHECK.   0.08*1000 + 0.1*(5000-1000) = 480, total annual interest.   ! correct !\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "---------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It is a standard and typical problem on investments.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If you want to see many other similar solved problems,  look into the lesson \r
\n" ); document.write( "\n" ); document.write( "    - Typical investment problems\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );