document.write( "Question 1067791: You invested a total of $15,000 at 3% and
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Algebra.Com's Answer #682953 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+P%5B1%5D+\" = amount invested @ 3%
\n" ); document.write( "\"+P%5B2%5D+=+15000+-+P%5B1%5D+\" = amount invested @ 4.5%
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\n" ); document.write( "Use \"+I+=+P%2Ar%2At+\"
\n" ); document.write( "\"+t+=+1+\" yr
\n" ); document.write( "\"+r%5B1%5D+=+.03+\"
\n" ); document.write( "\"+r%5B2%5D+=+.045+\"
\n" ); document.write( "(1) \"+I%5B1%5D+%2B+I%5B2%5D+=+600+\"
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\n" ); document.write( "\"+I%5B1%5D+=+P%5B1%5D%2Ar%5B1%5D%2At+\"
\n" ); document.write( "\"+I%5B1%5D+=+P%5B1%5D%2A.03%2A1+\"
\n" ); document.write( "(2) \"+I%5B1%5D+=+.03P%5B1%5D+\"
\n" ); document.write( "and
\n" ); document.write( "(3) \"+I%5B2%5D+=+P%5B2%5D%2A.045%2A1+\"
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\n" ); document.write( "By substitution:
\n" ); document.write( "\"+600+-+.03P%5B1%5D+=+675+-+.045%2AP%5B1%5D+\"
\n" ); document.write( "\"+.015P%5B1%5D+=+75+\"
\n" ); document.write( "\"+P%5B1%5D+=+5000+\"
\n" ); document.write( "and
\n" ); document.write( "\"+P%5B2%5D+=+15000+-+P%5B1%5D+\"
\n" ); document.write( "\"+P%5B2%5D+=+15000+-+5000+\"
\n" ); document.write( "\"+P%5B2%5D+=+10000+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "$5,000 = amount invested @ 3%
\n" ); document.write( "$10,000 = amount invested @ 4.5%
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\n" ); document.write( "check:
\n" ); document.write( "(2) \"+I%5B1%5D+=+.03P%5B1%5D+\"
\n" ); document.write( "(2) \"+I%5B1%5D+=+.03%2A5000+\"
\n" ); document.write( "(2) \"+I%5B1%5D+=+150+\"
\n" ); document.write( "and
\n" ); document.write( "(3) \"+I%5B2%5D+=+P%5B2%5D%2A.045%2A1+\"
\n" ); document.write( "(3) \"+I%5B2%5D+=+.045%2A10000+\"
\n" ); document.write( "(3) \"+I%5B2%5D+=+450+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+I%5B1%5D+%2B+I%5B2%5D+=+600+\"
\n" ); document.write( "(1) \"+150+%2B+450+=+600+\"
\n" ); document.write( "(1) \"+600+=+600+\"
\n" ); document.write( "OK\r
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