document.write( "Question 1145092: nacho invests $9000 in two accounts. the first account pays 5% annually and the second amount pays 4%. if at the end of one year he makes $410 i interest, how much did he invest in each account \n" ); document.write( "

Algebra.Com's Answer #766288 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If

was invested in two accounts,

and

and the total interest earned at the end of one year is

, then we know two things:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "and\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "But from [1] we can deduce:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Then substituting into [2] we have:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Since you are given

and

, you now have a single equation in a single variable, namely:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solve for

and then calculate

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "John
\n" ); document.write( "

\n" ); document.write( "My calculator said it, I believe it, that settles it
\n" ); document.write( "

\n" ); document.write( "

\n" );