document.write( "Question 1133695: Suppose $50,000 is divided into two bank accounts. One account pays 4% simple interest per year and the other pays 6.4%. After five years there is a total of $12,000 in interest between the two accounts. How much was invested into the bank account that pays 4% simple interest (rounded to the nearest cent)? \n" ); document.write( "
Algebra.Com's Answer #750945 by josmiceli(19441)\"\" \"About 
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For simple interest:
\n" ); document.write( "\"+I%5B1%5D+=+P%5B1%5D%2Ar%5B1%5D%2At+\"
\n" ); document.write( "\"+I%5B2%5D+=+P%5B2%5D%2Ar%5B2%5D%2At+\"
\n" ); document.write( "\"+I%5B1%5D+%2B+I%5B2%5D+=+12000+\"
\n" ); document.write( "\"+P%5B1%5D+%2B+P%5B2%5D+=+50000+\"
\n" ); document.write( "\"+r%5B1%5D+=+.04+\"
\n" ); document.write( "\"+r%5B2%5D+=+.064+\"
\n" ); document.write( "\"+t+=+5+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "\"+I%5B1%5D+=+P%5B1%5D%2A.04%2A5+\"
\n" ); document.write( "(1) \"+I%5B1%5D+=+.2P%5B1%5D+\"
\n" ); document.write( "and
\n" ); document.write( "\"+12000+-+I%5B1%5D+=+%28+50000+-+P%5B1%5D+%29%2A.064%2A5+\"
\n" ); document.write( "\"+12000+-+I%5B1%5D+=+%28+50000+-+P%5B1%5D+%29%2A.32+\"
\n" ); document.write( "\"+12000+-+I%5B1%5D+=+16000+-+.32P%5B1%5D+\"
\n" ); document.write( "(2) \"+I%5B1%5D+=+.32P%5B1%5D+-+4000+\"
\n" ); document.write( "----------------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "\"+.2P%5B1%5D+=+.32P%5B1%5D+-+4000+\"
\n" ); document.write( "\"+.12P%5B1%5D+=+4000+\"
\n" ); document.write( "\"+P%5B1%5D+=+33333.33+\"
\n" ); document.write( "\"+P%5B2%5D+=+50000+-+33333.33+\"
\n" ); document.write( "\"+P%5B2%5D+=+16666.67+\"
\n" ); document.write( "-----------------------------------
\n" ); document.write( "$33,333.33 is invested in 4% interest account
\n" ); document.write( "---------------------------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+I%5B1%5D+=+.2%2A33333.33+\"
\n" ); document.write( "(1) \"+I%5B1%5D+=+6666.67+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+I%5B1%5D+=+.32P%5B1%5D+-+4000+\"
\n" ); document.write( "(2) \"+6666.67+=+.32%2A33333.33+-+4000+\"
\n" ); document.write( "(2) \"+6666.67+=+10666.67+-+4000+\"
\n" ); document.write( "(2) \"+6666.67+=+6666.67+\"
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );