document.write( "Question 1066806: jim invests a total of 50000 in 2 accounts, one earning 2.5% simple interest, the other earning 5 %. if after 2 years the account earning 5% has earned 500 more, how much was invested in the 5% account?
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Algebra.Com's Answer #682017 by josmiceli(19441)\"\" \"About 
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Let \"+P%5B1%5D+\" = amount invested @ 2.5%
\n" ); document.write( "\"+P%5B2%5D+=+50000+-+P%5B1%5D+\"
\n" ); document.write( "Let \"+I%5B1%5D+\" = interest earned by 2.5% account
\n" ); document.write( "\"+I%5B2%5D+=+I%5B1%5D+%2B+500+\" = interest earned by 5% account
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\n" ); document.write( "(1) \"+I%5B1%5D+=+P%5B1%5D%2A.025%2A2+\"
\n" ); document.write( "(1) \"+I%5B1%5D+=+P%5B1%5D%2A.05+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+I%5B2%5D+=+P%5B2%5D%2A.05%2A2+\"
\n" ); document.write( "(2) \"+I%5B2%5D+=+P%5B2%5D%2A.1+\"
\n" ); document.write( "(2) \"+I%5B1%5D+%2B+500+=+%28+50000+-+P%5B1%5D+%29%2A.1+\"
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\n" ); document.write( "(2) \"+I%5B1%5D+%2B+500+=+5000+-+.1P%5B1%5D+\"
\n" ); document.write( "(2) \"+I%5B1%5D+=+4500+-+.1P%5B1%5D+\"
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+.05P%5B1%5D+=+4500+-+.1P%5B1%5D+\"
\n" ); document.write( "(2) \"+.15P%5B1%5D+=+4500+\"
\n" ); document.write( "(2) \"+P%5B1%5D+=++30000+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+I%5B1%5D+=+.05P%5B1%5D+\"
\n" ); document.write( "(1) \"+I%5B1%5D+=+.05%2A30000+\"
\n" ); document.write( "(1) \"+I%5B1%5D+=+1500+\"
\n" ); document.write( "and
\n" ); document.write( "\"+P%5B2%5D=+50000+-+P%5B1%5D+\"
\n" ); document.write( "\"+P%5B2%5D+=+50000+-+30000+\"
\n" ); document.write( "\"+P%5B2%5D+=+20000+\"
\n" ); document.write( "$20,000 was invested @ 5%
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\n" ); document.write( "check:
\n" ); document.write( "(2) \"+I%5B2%5D+=+P%5B2%5D%2A.1+\"
\n" ); document.write( "(2) \"+I%5B2%5D+=+20000%2A.1+\"
\n" ); document.write( "(2) \"+I%5B2%5D+=+2000+\"
\n" ); document.write( "and
\n" ); document.write( "\"+I%5B2%5D+-+I%5B1%5D+=+2000+-+1500+\"
\n" ); document.write( "\"+I%5B2%5D+-+I%5B1%5D+=+500+\"
\n" ); document.write( "OK
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