document.write( "Question 1068523: kristen has a total of $1000 to invest. she put parts of it in an account paying 4% interest/year and the rest in bond paying 6.5% interest. if she has $50 in simple interest at the end of the year, how much was invested at each rate? \n" ); document.write( "

Algebra.Com's Answer #683773 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
This looks like a simple interest problem
\n" ); document.write( "I can use:
\n" ); document.write( " $\"+I+=+P%2Ar%2At+\"$ where
\n" ); document.write( " $\"+I+\"$ = interest after $\"+t+\"$ years
\n" ); document.write( " $\"+P+\"$ = amount invested
\n" ); document.write( " $\"+r+\"$ = interest rate
\n" ); document.write( " $\"+t+\"$ = years invested
\n" ); document.write( "------------------------------------------------
\n" ); document.write( " $\"+I%5B1%5D+=+P%5B1%5D%2Ar%5B1%5D%2At+\"$
\n" ); document.write( "(1) $\"+I%5B1%5D+=+P%5B1%5D%2A.04%2A1+\"$
\n" ); document.write( "(1) $\"+P%5B1%5D+=+25I%5B1%5D+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+I%5B2%5D+=+P%5B2%5D%2Ar%5B2%5D%2At+\"$
\n" ); document.write( "(2) $\"+50+-+I%5B1%5D+=+%28+1000+-+P%5B1%5D+%29%2A.065%2A1+\"$
\n" ); document.write( "-------------------------------------------
\n" ); document.write( "(2) $\"+50+-+I%5B1%5D+=+65+-+.065P%5B1%5D+\"$
\n" ); document.write( "(2) $\"+I%5B1%5D+=+.065P%5B1%5D+-+15+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+I%5B1%5D+=+.065%2A25%2AI%5B1%5D+-+15+\"$
\n" ); document.write( "(2) $\"+I%5B1%5D+=+1.625I%5B1%5D+-+15+\"$
\n" ); document.write( "(2) $\"+.625I%5B1%5D+=+15+\"$
\n" ); document.write( "(2) $\"+I%5B1%5D+=+24+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+I%5B2%5D+=+50+-+I%5B1%5D+\"$
\n" ); document.write( "(2) $\"+I%5B2%5D+=+50+-+24+\"$
\n" ); document.write( "(2) $\"+I%5B2%5D+=+26+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "(1) $\"+P%5B1%5D+=+25I%5B1%5D+\"$
\n" ); document.write( "(1) $\"+P%5B1%5D+=+25%2A24+\"$
\n" ); document.write( "(1) $\"+P%5B1%5D+=+600+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+I%5B2%5D+=+P%5B2%5D%2A.065%2A1+\"$
\n" ); document.write( " $\"+26+=+P%5B2%5D%2A.065+\"$
\n" ); document.write( " $\"+P%5B2%5D+=+26%2F.065+\"$
\n" ); document.write( " $\"+P%5B2%5D+=+400+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "$600 was invested @ 4%
\n" ); document.write( "$400 was invested @ 6.5%
\n" ); document.write( "------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+P%5B1%5D+%2B+P%5B2%5D+=+1000+\"$
\n" ); document.write( " $\"+600+%2B+400+=+1000+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+I%5B1%5D+%2B+I%5B2%5D+=+50+\"$
\n" ); document.write( " $\"+24+%2B+26+=+50+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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