document.write( "Question 1150492: you invested $10000 total, split between two investments. one of the funds rose 6% in one year, and the other rose 9% in one year. your investment rose a total of $684 in one year. find the amount you invested in each fund \n" ); document.write( "

Algebra.Com's Answer #771874 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+P+\"$ = amount invested @ 6%
\n" ); document.write( " $\"+10000+-+P+\"$ = amount invested @ 9%
\n" ); document.write( "Let $\"+I+\"$ = gain from 6% investment
\n" ); document.write( " $\"+684+-+I+\"$ = gain from 9% investment
\n" ); document.write( "------------------------------------------------
\n" ); document.write( " $\"+I+=+P%2Ar%2At+\"$
\n" ); document.write( "(1) $\"+I+=+P%2A.06%2A1+\"$
\n" ); document.write( "(2) $\"+684+-+I+=+%28+10000+-+P+%29%2A.09%2A1+\"$
\n" ); document.write( "----------------------------------------------
\n" ); document.write( "(2) $\"+684+-+I+=+900+-+.09P+\"$
\n" ); document.write( "(2) $\"+.09P+-+I+=+216+\"$
\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(2) $\"+.09P+-+.06P+=+216+\"$
\n" ); document.write( "(2) $\"+.03P+=+216+\"$
\n" ); document.write( "(2) $\"+P+=+7200+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+10000+-+P+=+2800+\"$
\n" ); document.write( "------------------------------
\n" ); document.write( "$7,200 invested @ 6%
\n" ); document.write( "$2,800 invested @ 9%
\n" ); document.write( "----------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+I+=+P%2A.06%2A1+\"$
\n" ); document.write( "(1) $\"+I+=+7200%2A.06+\"$
\n" ); document.write( "(1) $\"+I+=+432+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+684+-+I+=+%28+10000+-+P+%29%2A.09%2A1+\"$
\n" ); document.write( "(2) $\"+684+-+I+=+2800%2A.09+\"$
\n" ); document.write( "(2) $\"+I+=+684+-+252+\"$
\n" ); document.write( "(2) $\"+I+=+432+\"$
\n" ); document.write( "Ok
\n" ); document.write( " \n" ); document.write( "

\n" );