document.write( "Question 971886: You invest $5000 in two stocks. In one year, the value of stock A increases by 9.8% and the value of stock B increases by 6.2%. The total value of the stocks is now $ 5389.20 How much did you originally invest in each stock? \n" ); document.write( "

Algebra.Com's Answer #594288 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = amount invested in stock A
\n" ); document.write( " $\"+5000+-+x+\"$ = amount invested in stock B
\n" ); document.write( "---------------------
\n" ); document.write( " $\"+x+%2B+.098x+%2B+5000+-+x+%2B+.062%2A%28+5000+-+x+%29+=+5389.2+%29+\"$
\n" ); document.write( " $\"+1.098x+%2B+1.062%2A%28+5000+-+x+%29+=+5389.2+\"$
\n" ); document.write( " $\"+1.098x+%2B+5310+-+1.062x+=+5389.2+\"$
\n" ); document.write( " $\"+.036x+=+5389.2+-+5310+\"$
\n" ); document.write( " $\"+.036x+=+79.2+\"$
\n" ); document.write( " $\"+x+=+2200+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+5000+-+x+=+2800+\"$
\n" ); document.write( "$2,200 was invested in stock A
\n" ); document.write( "$2,800 was invested in stock B
\n" ); document.write( "-----------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+1.098x+%2B+1.062%2A%28+5000+-+x+%29+=+5389.2+\"$
\n" ); document.write( " $\"+1.098%2A2200+%2B+1.062%2A2800+=+5389.2+\"$
\n" ); document.write( " $\"+2415.6+%2B+2973.6+=+5389.2+\"$
\n" ); document.write( " $\"+5389.2+=+5389.2+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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