document.write( "Question 1154741: In investing &5500 of a couples money, a financial planner put some of it into savings paying 6% annual simple interest. The rest was invested in a riskier minimall development plan paying 12% annual simple interest. The combined interest earned the first year was $522. How much money was invested at each rate \n" ); document.write( "

Algebra.Com's Answer #777222 by josmiceli(19441) $\"\"$ $\"About$

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(1) $\"+I%5B1%5D+=+P%5B1%5D%2Ar%5B1%5D%2At+\"$
\n" ); document.write( "(2) $\"+I%5B2%5D+=+P%5B2%5D%2Ar%5B2%5D%2At+\"$
\n" ); document.write( " $\"+r%5B1%5D+=+.06+\"$
\n" ); document.write( " $\"+r%5B2%5D+=+.12+\"$
\n" ); document.write( " $\"+P%5B2%5D+=+5500+-+P%5B1%5D+\"$
\n" ); document.write( " $\"+t+=+1+\"$
\n" ); document.write( " $\"+I%5B1%5D+%2B+I%5B2%5D+=+522+\"$
\n" ); document.write( "------------------------------
\n" ); document.write( "(1) $\"+I%5B1%5D+=+P%5B1%5D%2A.06%2A1+\"$
\n" ); document.write( "(2) $\"+522+-+I%5B1%5D+=+%28+5500+-+P%5B1%5D+%29%2A+.12%2A1+\"$
\n" ); document.write( "----------------------------------------------
\n" ); document.write( "(2) $\"+522+-+I%5B1%5D+=+660+-+.12P%5B1%5D+\"$
\n" ); document.write( "(2) $\"+I%5B1%5D+=+.12P%5B1%5D+-+138+\"$
\n" ); document.write( "------------------------------------
\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(2) $\"+.06P%5B1%5D+=+.12P%5B1%5D+-+138+\"$
\n" ); document.write( "(2) $\"+.06P%5B1%5D+=+138+\"$
\n" ); document.write( "(2) $\"+P%5B1%5D+=+2300+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+P%5B2%5D+=+5500+-+P%5B1%5D+\"$
\n" ); document.write( " $\"+P%5B2%5D+=+5500+-+2300+\"$
\n" ); document.write( " $\"+P%5B2%5D+=+3200+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "$2,300 @ 6%
\n" ); document.write( "$3,200 @ 12%
\n" ); document.write( "------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+I%5B1%5D+=+2300%2A.06%2A1+\"$
\n" ); document.write( "(1) $\"+I%5B1%5D+=+138+\"$
\n" ); document.write( " $\"+I%5B2%5D+=+522+-+I%5B1%5D+\"$
\n" ); document.write( " $\"+I%5B2%5D+=+522+-+138+\"$
\n" ); document.write( " $\"+I%5B2%5D+=+384+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "(2) $\"+522+-+I%5B1%5D+=+%28+5500+-+P%5B1%5D+%29%2A+.12%2A1+\"$
\n" ); document.write( "(2) $\"+522+-+138+=+%28+5500+-+P%5B1%5D+%29%2A+.12%2A1+\"$
\n" ); document.write( "(2) $\"+384+=+3200%2A.12+\"$
\n" ); document.write( "(2) $\"+384+=+384+\"$
\n" ); document.write( "OK \r
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