document.write( "Question 1148351: Jill invested $100,000 in stocks and bonds. Equities earned a total return of
\n" ); document.write( "12%, and the fixed income component earned 8%. If she had invested twice
\n" ); document.write( "as much in equities, she would have made $1,800 more. How much was
\n" ); document.write( "invested in equities?\r
\n" ); document.write( "\n" ); document.write( "I don't need the answer as much as I need to understand the steps. Your help is greatly appreciated, thank you in advance!!!! \n" ); document.write( "

Algebra.Com's Answer #769755 by MathTherapy(10552) $\"\"$ $\"About$

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Jill invested $100,000 in stocks and bonds. Equities earned a total return of
\n" ); document.write( "12%, and the fixed income component earned 8%. If she had invested twice
\n" ); document.write( "as much in equities, she would have made $1,800 more. How much was
\n" ); document.write( "invested in equities?\r
\n" ); document.write( "\n" ); document.write( "I don't need the answer as much as I need to understand the steps. Your help is greatly appreciated, thank you in advance!!!!
\n" ); document.write( "

Let amount invested in equities (stocks), be E
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document.write( "Then amount invested in bonds = 100,000 - E
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document.write( "With stocks' and bonds' RORs being 12% and 8%, respectively, we get the following interest amounts: .12E and .08(100,000 - E) = 8,000 - .08E
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document.write( "Therefore, total earnings = .12E + 8,000 - .08E = .04E + 8,000
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document.write( "We then get: .12(2E) + .08(100,000 - 2E) = .04E + 8,000 + 1,800
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document.write( ".24E + 8,000 - .16E = .04E + 9,800
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document.write( ".24E - .16E - .04E = 9,800 - 8,000
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document.write( ".04E = 1,800
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document.write( "E, or  \n" );
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