document.write( "Question 56088: An investor puts $3000 in 2 CDs, one of which earns 5% annually and the other earns 4% annually. After 2 years he has earned $260. How much has he invested in each CD?\r
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document.write( "Can anyone solve this for me? I am a total math loser!!\r
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document.write( "Thanks so much. \n" );
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Algebra.Com's Answer #38053 by funmath(2933) ![]() You can put this solution on YOUR website! You are not a total math loser or you wouldn't have gotten this far. Let's be positive: \n" ); document.write( ": \n" ); document.write( "An investor puts $3000 in 2 CDs, one of which earns 5% annually and the other earns 4% annually. After 2 years he has earned $260. How much has he invested in each CD? \n" ); document.write( ": \n" ); document.write( "Let the amount invested at 5% be:x \n" ); document.write( "Then the rest of the $3000 is invested at 4%: 3000-x \n" ); document.write( ": \n" ); document.write( "The interest formula is \n" ); document.write( ".05(x)(2)+.04(3000-x)(2)=260 \n" ); document.write( ".10x+.08(3000-x)=260 \n" ); document.write( ".10x+240-.08x=260 \n" ); document.write( ".02x+240=260 \n" ); document.write( ".02x=260-240 \n" ); document.write( ".02x=20 \n" ); document.write( ".02x/.02=20/.02 \n" ); document.write( "x=1000 \n" ); document.write( "The amount invested at 5%:x=$1000 \n" ); document.write( "The amount invested at 4%:3000-x=3000-1000=$2000 \n" ); document.write( ": \n" ); document.write( "Happy Calculating!!! \n" ); document.write( " |