document.write( "Question 601862: mr.hart made two investments, one at 4.5% and the other at 3%. the amount invested at 3% exceeded the amount invested at 4.5% by $300. if his total annual income was $84, find the amount invested at each rate. \n" ); document.write( "

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mr.hart made two investments, one at 4.5% and the other at 3%. the amount invested at 3% exceeded the amount invested at 4.5% by $300. if his total annual income was $84, find the amount invested at each rate.
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\n" ); document.write( "Let x = amount ($) invested at 4.5%
\n" ); document.write( "then
\n" ); document.write( "x+300 = amount ($) invested at 3%
\n" ); document.write( ".
\n" ); document.write( ".045x + .03(x+300) = 84
\n" ); document.write( ".045x + .03x+9 = 84
\n" ); document.write( ".075x+9 = 84
\n" ); document.write( ".075x = 75
\n" ); document.write( "x = $1000 (invested at 4.5%)
\n" ); document.write( ".
\n" ); document.write( "invested at 3%:
\n" ); document.write( "x+300 = 1000+300 = $1300
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