document.write( "Question 880545: Vanessa recently received a $75,000 inheritance. She distributed the money among three accounts bearing 6%, 8%, and 12% simple interest. The amount invested at 8% was three times that invested at 12%. If total interest after one year was $5,700, how much did she invest in each? \n" ); document.write( "
Algebra.Com's Answer #531546 by lwsshak3(11628)\"\" \"About 
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Vanessa recently received a $75,000 inheritance. She distributed the money among three accounts bearing 6%, 8%, and 12% simple interest. The amount invested at 8% was three times that invested at 12%. If total interest after one year was $5,700, how much did she invest in each?
\n" ); document.write( "***
\n" ); document.write( "let x=amount invested at 12%
\n" ); document.write( "3x=amount invested at 8%
\n" ); document.write( "75000-4x=amount invested at 6%
\n" ); document.write( "..
\n" ); document.write( "12%x+8%*3x+6%(75000-4x)=5700
\n" ); document.write( ".12x+.24x+4500-.24x=5700
\n" ); document.write( "0.12x=1200
\n" ); document.write( "x=10,000
\n" ); document.write( "3x=30,000
\n" ); document.write( "75000-4x=75,000-40,000=35,000
\n" ); document.write( "amount invested at 12%=$10,000
\n" ); document.write( "amount invested at 8%=$30,000
\n" ); document.write( "amount invested at 6%=$35,000 \n" ); document.write( "
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