document.write( "Question 1020884: Phyllis invested $13,000, a portion earning a simple interest rate of
\n" ); document.write( "9 1/5% per year and the rest earning a rate of 9% per year. After one year the total interest earned on these investments was $1,186.00. How much money did she invest at each rate? \n" ); document.write( "

Algebra.Com's Answer #636695 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = the amount invested @ 9%
\n" ); document.write( " $\"+13000+-+x+\"$ = the amount invested @ 9.2%
\n" ); document.write( "---------------------------------------
\n" ); document.write( " $\"+.09x+\"$ = interest earned per year @ 9%
\n" ); document.write( " $\"+.092%2A%28+13000+-+x+%29+\"$ = interest earned per year @ 9.2%
\n" ); document.write( "-----------------------------------------------
\n" ); document.write( " $\"+.09x+%2B+.092%2A%28+13000+-+x+%29+=+1186+\"$
\n" ); document.write( " $\"+.09x+%2B+1196+-+.092x+=+1186+\"$
\n" ); document.write( " $\"+.002x+=+1196+-+1186+\"$
\n" ); document.write( " $\"+.002x+=+10+\"$
\n" ); document.write( " $\"+x+=+5000+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+13000+-+x+=+13000+-+5000+\"$
\n" ); document.write( " $\"+13000+-+x+=+8000+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "$5,000 = the amount invested @ 9%
\n" ); document.write( "$8,000 = the amount invested @ 9.2%
\n" ); document.write( "-------------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+.09x+%2B+.092%2A%28+13000+-+x+%29+=+1186+\"$
\n" ); document.write( " $\"+.09%2A5000+%2B+.092%2A8000+=+1186+\"$
\n" ); document.write( " $\"+450+%2B+736+=+1186+\"$
\n" ); document.write( " $\"+1186+=+1186+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );