document.write( "Question 659057: Paul and Donna Petrie invested $12,000 part at 5% simple interest and the rest a 7% simple interest for a period of 1 year. How much did they invest at each rate if their total annual interest from both investments was $800? (Use interest= principal x rate x time.) \n" ); document.write( "
Algebra.Com's Answer #410616 by josmiceli(19441)\"\" \"About 
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interest= principal x rate x time
\n" ); document.write( "Let \"+x+\" = amount invested at 5%
\n" ); document.write( "\"+12000+-+x+\" = amount invested at 7%
\n" ); document.write( "\"+I%5B1%5D+=+x%2A.05%2A1+\"
\n" ); document.write( "\"+I%5B1%5D+=+.05x+\"
\n" ); document.write( "--------------
\n" ); document.write( "\"+I%5B2%5D+=+%28+12000+-+x+%29%2A.07%2A1+\"
\n" ); document.write( "\"+I%5B2%5D+=+840+-+.07x+\"
\n" ); document.write( "-------------------
\n" ); document.write( "\"+I%5B1%5D+%2B+I%5B2%5D+=+800+\"
\n" ); document.write( "\"+.05x+%2B+840+-+.07x+=+800+\"
\n" ); document.write( "\"+-.02x+=+-40+\"
\n" ); document.write( "\"+x+=+2000+\"
\n" ); document.write( "\"+12000+-+x+=+12000+-+2000+\"
\n" ); document.write( "\"+12000+-+x+=+10000+\"
\n" ); document.write( "$2,000 = amount invested at 5%
\n" ); document.write( "$10,000 = amount invested at 7%
\n" ); document.write( "
\n" ); document.write( "
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