document.write( "Question 212813: Whitney Williamson has $30,000 she would like to invest. She has a choice of two interest paying ponds, one offering 6% annual interest and the other paying 7.5% annual interest. She would like to earn $2,100 in interest in one year. If she earns more than $2,100, she would need to pay a higher income tax. How much money should she invest in each bond? \n" ); document.write( "
Algebra.Com's Answer #160733 by Theo(13342)\"\" \"About 
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you have 2 equations that need to be solved simultaneously.
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\n" ); document.write( "x + y = 30,000
\n" ); document.write( ".075x + .06y = 2100
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\n" ); document.write( "multiply first equation by .06 to get:
\n" ); document.write( ".06x + .06y = 1800
\n" ); document.write( "subtract it from second equation of:
\n" ); document.write( ".075x + .06y = 2100 to get:
\n" ); document.write( ".015x = 300
\n" ); document.write( "divide both sides by .015 to get:
\n" ); document.write( "x = 20,000
\n" ); document.write( "this makes:
\n" ); document.write( "y = 10,000
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\n" ); document.write( ".075 * 20,000 + .06 * 10,000 = 1500 + 600 = 2100
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\n" ); document.write( "answer is:
\n" ); document.write( "she should invest $20,000 in the bond earning .075 interest rate per year and she should invest $10,000 in the bond earning .06 interest rate per year.
\n" ); document.write( "note:
\n" ); document.write( ".075 interest rate = 7.5%
\n" ); document.write( ".06 interest rate = 6%
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\n" ); document.write( "She will earn $2,100 in interest.
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