document.write( "Question 1192441: Matthew is married and lives in Pennsylvania, which has a state income tax rate of 3.07%. He earns an annual salary of $47,530. Calculate his monthly take-home pay. \n" ); document.write( "
Algebra.Com's Answer #824332 by math_tutor2020(3816)\"\" \"About 
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\n" ); document.write( "$47,530 is the gross annual salary before taxes are deducted.\r
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\n" ); document.write( "\n" ); document.write( "3.07% = 3.07/100 = 0.0307
\n" ); document.write( "3.07% of $47,530 = 0.0307*47530 = 1,459.171 = 1,459.17\r
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\n" ); document.write( "\n" ); document.write( "Matthew is charged $1,459.17 in income tax.
\n" ); document.write( "His annual take-home pay is 47,530 - 1,459.17 = 46,070.83
\n" ); document.write( "This does not account for federal income taxes or other taxes such as FICA.
\n" ); document.write( "However, since your teacher didn't mention those other taxes, then I'm assuming s/he only is considering state taxes.\r
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\n" ); document.write( "\n" ); document.write( "Lastly, divide by 12 to get the monthly take-home pay.
\n" ); document.write( "(46,070.83)/12 = 3,839.23583333333
\n" ); document.write( "This rounds to $3,839.24\r
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\n" ); document.write( "Here's another way to get the answer\r
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\n" ); document.write( "\n" ); document.write( "The state wants 3.07% of his annual salary.
\n" ); document.write( "He keeps the remaining 100% - 3.07% = 96.93%\r
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\n" ); document.write( "\n" ); document.write( "96.93% of 47,530 = 0.9693*47530 = 46,070.829 = 46,070.83
\n" ); document.write( "We get the same annual take-home pay as before, which will lead to the same monthly take-home pay.\r
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\n" ); document.write( "\n" ); document.write( "Answer: $3,839.24
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