document.write( "Question 48802This question is from textbook survey of math with applications
\n" ); document.write( ": Mike invested $6000 for one year. He invested part of it at 9% and the rest at 11%. At the end of the year he earned $624 in interest. How much did he invest at each rate? \n" ); document.write( "
Algebra.Com's Answer #32315 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Mike invested $6000 for one year. He invested part of it at 9% and the rest at 11%. At the end of the year he earned $624 in interest. How much did he invest at each rate?
\n" ); document.write( "------------------------------
\n" ); document.write( "9% DATA:
\n" ); document.write( "amount= x dollars ; interest=0.09x dollars
\n" ); document.write( "-------------------------------
\n" ); document.write( "11% Data\r
\n" ); document.write( "\n" ); document.write( "amount = 6000-x dollars ; interest = 0.11(6000-x)=660-0.11x
\n" ); document.write( "--------------------------------
\n" ); document.write( "EQUATION:
\n" ); document.write( "int + int = 624 dollars
\n" ); document.write( "0.09x+660-0.11x=624
\n" ); document.write( "0.02x =660-624
\n" ); document.write( "0.02x=36
\n" ); document.write( "x=$1800 (amount invested at 9%)
\n" ); document.write( "6000-x=$4200 (amount invested at 11%)
\n" ); document.write( "---------------------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );