document.write( "Question 1158613: different amounts are invested at 10%, 11%, and 12% yearly interest. the amount invested at 11% is $300 more than the amount invested at 10% and the total yearly income from all 3 investments is $324. a total of $2900 is invested. find the amount invested at each rate. \n" ); document.write( "
Algebra.Com's Answer #781570 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = amount invested @ 10%
\n" ); document.write( "Let \"+b+\" = amount invested @ 11%
\n" ); document.write( "Let \"+c+\" = amount invested @ 12%
\n" ); document.write( "------------------------------------------
\n" ); document.write( "\"+I+=+P%2Ar%2At+\"
\n" ); document.write( "(a) \"+I%5B1%5D+=+a%2A.10%2A1+\"
\n" ); document.write( "(b) \"+I%5B2%5D+=+b%2A.11%2A1+\"
\n" ); document.write( "(c) \"+I%5B3%5D+=+c%2A.12%2A1+\"
\n" ); document.write( "------------------------------------------
\n" ); document.write( "(1) \"+b+=+a+%2B+300+\"
\n" ); document.write( "(2) \"+I%5B1%5D+%2B+I%5B2%5D+%2B+I%5B3%5D+=+324+\"
\n" ); document.write( "(3) \"+a+%2B+b+%2B+c+=+2900+\"
\n" ); document.write( "------------------------------------------
\n" ); document.write( "Add (a), (b), and (c)
\n" ); document.write( "\"+I%5B1%5D+%2B+I%5B2%5D+%2B+I%5B3%5D+=+.1a+%2B+.11b+%2B+.12c+\"
\n" ); document.write( "\"+324+=+.1a+%2B+.11b+%2B+.12c+\"
\n" ); document.write( "
\n" ); document.write( "\"+10a+%2B+11%2A%28+a+%2B+300+%29+%2B+12c+=+32400+\"
\n" ); document.write( "\"+10a+%2B+11a+%2B+3300+%2B+12c+=+32400+\"
\n" ); document.write( "\"+21a+%2B+12c+=+29100+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "(3) \"+a+%2B+b+%2B+c+=+2900+\"
\n" ); document.write( "(3) \"+a+%2B+a+%2B+300+%2B+c+=+2900+\"
\n" ); document.write( "(3) \"+2a+%2B+c+=+2600+\"
\n" ); document.write( "Multiply both sides by \"+12+\"
\n" ); document.write( "--------------------------------
\n" ); document.write( "Do this subtraction:
\n" ); document.write( "\"+24a+%2B+12c+=+31200+\"
\n" ); document.write( "\"-+21a+-+12c+=+-29100+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "\"+3a+=+2100+\"
\n" ); document.write( "\"+a+=+700+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+b+=+a+%2B+300+\"
\n" ); document.write( "(1) \"+b+=+700+%2B+300+\"
\n" ); document.write( "(1) \"+b+=+1000+\"
\n" ); document.write( "and
\n" ); document.write( "(3) \"+2a+%2B+c+=+2600+\"
\n" ); document.write( "(3) \"+2%2A700+%2B+c+=+2600+\"
\n" ); document.write( "(3) \"+c+=+1200+\"
\n" ); document.write( "--------------------------------
\n" ); document.write( "$700 invested @ 10%
\n" ); document.write( "$1,000 invested @ 11%
\n" ); document.write( "$1,200 invested @ 12%
\n" ); document.write( "---------------------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+I%5B1%5D+%2B+I%5B2%5D+%2B+I%5B3%5D+=+.1a+%2B+.11b+%2B+.12c+\"
\n" ); document.write( "\"+I%5B1%5D+%2B+I%5B2%5D+%2B+I%5B3%5D+=+.1%2A700+%2B+.11%2A1000+%2B+.12%2A1200+\"
\n" ); document.write( "\"+I%5B1%5D+%2B+I%5B2%5D+%2B+I%5B3%5D+=+70+%2B+110+%2B+144+\"
\n" ); document.write( "\"+I%5B1%5D+%2B+I%5B2%5D+%2B+I%5B3%5D+=+324+\"
\n" ); document.write( "OK
\n" ); document.write( "check my math
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "
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