document.write( "Question 295619: a company has an income of $100,000 before paying taxes and a bonus. the bonus B is to be 20% of the income after deducting income taxes T but before deducting the bonus. so
\n" ); document.write( "B=0.20(100,000-T)\r
\n" ); document.write( "\n" ); document.write( "because the bonus is a deductible expense, the amount of income tax T at a 40% rate is 40% of the income after deducting the bonus. so
\n" ); document.write( "T=0.40(100,000-B)\r
\n" ); document.write( "\n" ); document.write( "solve the system algebraically to find the bonus and the amount of tax \n" ); document.write( "
Algebra.Com's Answer #213039 by palanisamy(496)\"\" \"About 
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The given equations are
\n" ); document.write( " B=0.20(100,000-T) ...(1)
\n" ); document.write( "and T=0.40(100,000-B)
\n" ); document.write( " T = 400000-0.40B ...(2)\r
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\n" ); document.write( "\n" ); document.write( "Put B = 0.20(100,000-T) in (2)
\n" ); document.write( "T=400000-(0.20(100,000-T)
\n" ); document.write( "T= 400000-20000+0.20T
\n" ); document.write( "T-0.20T = 200000
\n" ); document.write( "0.8T=200000
\n" ); document.write( "T=200000/(0.8)
\n" ); document.write( "T=2500000
\n" ); document.write( "(1)=> B= 200000-(0.20)*2500000
\n" ); document.write( "B=200000-50000
\n" ); document.write( "B=150000
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