document.write( "Question 108124: Stan invested $17,000, part at 18% and part at 4%.
\n" ); document.write( "If the total interest at the end of the year is $1,380, how much did he invest at each
\n" ); document.write( " rate?
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Algebra.Com's Answer #78802 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Let's call the part he invested at 18%, E, and the part he invested at 4%, F.
\n" ); document.write( "Then you know that,
\n" ); document.write( "1.\"E%2BF=17000\"
\n" ); document.write( "2.\"0.18E%2B0.04F=1320\"
\n" ); document.write( "Use 1. to solve for E in terms of F.
\n" ); document.write( "1.\"E%2BF=17000\"
\n" ); document.write( "\"E=17000-F\"
\n" ); document.write( "Now substitute that into equation 2 and solve for F.
\n" ); document.write( "2.\"0.18E%2B0.04F=1320\"
\n" ); document.write( "\"0.18%2817000-F%29%2B0.04F=1320\"
\n" ); document.write( "\"0.18%2817000%29-0.18F%2B0.04F=1320\"
\n" ); document.write( "\"3060-0.14F=1320\"
\n" ); document.write( "\"-0.14F=1320-3060\"
\n" ); document.write( "\"-0.14F=-1740\"
\n" ); document.write( "\"F=12428.57\"
\n" ); document.write( "From 1.
\n" ); document.write( "\"E=17000-F\"
\n" ); document.write( "\"E=17000-12428.57\"
\n" ); document.write( "\"E=4571.43\"
\n" ); document.write( "Verify your answer using equation 2.
\n" ); document.write( "\"0.18E%2B0.04F=1320\"
\n" ); document.write( "\"0.18%284571.43%29%2B0.04%2812427.57%29=1320\"
\n" ); document.write( "\"822.86%2B497.10=1320\"
\n" ); document.write( "\"1319.96=1320\" Close enough, round off error.
\n" ); document.write( "Good answer.
\n" ); document.write( "$4571.43 at 18%, $12428.57 at 4%.
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