document.write( "Question 1134217: Sherrie invested some money at 14% interest. Sherrie also invested $186
\n" ); document.write( "more than 2 times that amount at 10%. How much is invested at each rate if Sherrie receives $967.20
\n" ); document.write( " in interest after one year? (Round to two decimal places if necessary.)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "$----- amount invested at 14%\r
\n" ); document.write( "\n" ); document.write( "$---- amount invested at 10% \n" ); document.write( "

Algebra.Com's Answer #751531 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
For simple interest:
\n" ); document.write( " $\"+I%5B1%5D+=+P%5B1%5D%2Ar%5B1%5D%2A1+\"$
\n" ); document.write( " $\"+I%5B2%5D=+P%5B2%5D%2Ar%5B2%5D%2A1+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( " $\"+I%5B2%5D+=+967.2+-+I%5B1%5D+\"$
\n" ); document.write( " $\"+P%5B2%5D+=+2%2AP%5B1%5D+%2B+186+\"$
\n" ); document.write( " $\"+r%5B1%5D+=+.14+\"$
\n" ); document.write( " $\"+r%5B2%5D+=+.1+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( " $\"+I%5B1%5D+=+P%5B1%5D%2A.14%2A1+\"$
\n" ); document.write( "(1) $\"+I%5B1%5D+=+.14%2AP%5B1%5D+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+967.2+-+I%5B1%5D+=+%28+2%2AP%5B1%5D+%2B+186+%29%2A.1%2A1+\"$
\n" ); document.write( " $\"+967.2+-+I%5B1%5D+=+.2P%5B1%5D+%2B+18.6+\"$
\n" ); document.write( "(2) $\"+-I%5B1%5D+=+.2P%5B1%5D+-+948.6+\"$
\n" ); document.write( "Add (1) and (2)
\n" ); document.write( " $\"+0+=+.2P%5B1%5D+%2B+.14P%5B1%5D+-+948.6+\"$
\n" ); document.write( " $\"+.34P%5B1%5D+=+948.6+\"$
\n" ); document.write( " $\"+P%5B1%5D+=+2790+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+I%5B1%5D+=+.14%2A2790+\"$
\n" ); document.write( "(1) $\"+I%5B1%5D+=+390.6+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+I%5B2%5D+=+967.2+-+I%5B1%5D+\"$
\n" ); document.write( " $\"+I%5B2%5D+=+967.2+-+390.6+\"$
\n" ); document.write( " $\"+I%5B2%5D+=+576.6+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+P%5B2%5D+=+2%2AP%5B1%5D+%2B+186+\"$
\n" ); document.write( " $\"+P%5B2%5D+=+2%2A2790+%2B+186+\"$
\n" ); document.write( " $\"+P%5B2%5D+=+5766+\"$
\n" ); document.write( "--------------------------------
\n" ); document.write( "$2,790 invested @ 14%
\n" ); document.write( "$5,766 invested @ 10%
\n" ); document.write( "--------------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+I%5B1%5D+=+P%5B1%5D%2Ar%5B1%5D%2A1+\"$
\n" ); document.write( " $\"+390.6+=+2790%2A.14+\"$
\n" ); document.write( " $\"+390.6+=+390.6+\"$
\n" ); document.write( "OK
\n" ); document.write( " $\"+I%5B2%5D=+P%5B2%5D%2Ar%5B2%5D%2A1+\"$
\n" ); document.write( " $\"+576.6+=+5766%2A.1+\"$
\n" ); document.write( " $\"+576.6+=+576.6+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );