document.write( "Question 914010: Joe wants to invest $10,000 in two different types of stocks: Computer and agriculture. If he earns 8% interest on the computer stock and 11.25% interest on the agriculture stock, how much should he invest in each if he wants a 10% rate of return on his investment? \n" ); document.write( "
Algebra.Com's Answer #554825 by richwmiller(17219)\"\" \"About 
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0.1*10000=$1000 interest earned on $10000 at 10%
\n" ); document.write( "Total amount of money invested: $10000
\n" ); document.write( "x+y=10000,
\n" ); document.write( "Total yearly interest for the two accounts is: $1000
\n" ); document.write( "0.08*x+0.1125*y=1000
\n" ); document.write( "x=10000-y
\n" ); document.write( "Substitute for x
\n" ); document.write( "0.08*(10000-y)+0.1125*y=1000
\n" ); document.write( "Multiply out
\n" ); document.write( "800-0.08*y+0.1125*y=1000
\n" ); document.write( "Combine like terms.
\n" ); document.write( "0.0325*y=200
\n" ); document.write( "Isolate y
\n" ); document.write( "y=$ 6153.85 at 11.25% earns $692.307692 interest
\n" ); document.write( "x=10000-y
\n" ); document.write( "Calculate x
\n" ); document.write( "x=$ 3846.15 at 8% earns $307.692308 interest
\n" ); document.write( "Check
\n" ); document.write( "0.08*3846.15385+0.1125*6153.84615=1000
\n" ); document.write( "307.692308+692.307692=1000
\n" ); document.write( "1000.0=1000
\n" ); document.write( "If 1000.0=1000 is TRUE and neither x nor y is negative then all is well
\n" ); document.write( "codeint1\r
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