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)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "$47,530 is the gross annual salary before taxes are deducted.\r \n" ); document.write( " \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 \n" ); document.write( " \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 \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------------------------------------------------------- \n" ); document.write( "Here's another way to get the answer\r \n" ); document.write( " \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 \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: $3,839.24 \n" ); document.write( " \n" ); document.write( " |