document.write( "Question 243625: The Leos invested part of $12,000 at 4% simple interest per year and the rest at 6% simple interest per year. The total interest for one year was at most $640. Find the least amount that could have been invested at 4%. \n" ); document.write( "
Algebra.Com's Answer #178498 by checkley77(12844)\"\" \"About 
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.06x+.04(12,000-x)<=640
\n" ); document.write( ".06x+480-.04x<=640
\n" ); document.write( ".02x<=640-480
\n" ); document.write( ".02x<=160
\n" ); document.write( "x<=160/.02
\n" ); document.write( "x=$8,000 amount invested @ 6%.
\n" ); document.write( "12,000-8,000=$4,000 amount invested @ 4%
\n" ); document.write( "Proof:
\n" ); document.write( ".06*8,000+.04*4,000<=640
\n" ); document.write( "480+160<=640
\n" ); document.write( "640<=640
\n" ); document.write( "
\n" );