document.write( "Question 896283: A woman owns a small, cash-only business in a state that requires her to charge 6% sales tax on each item she sells. At the beginning of the day, she has $200 dollars in the cash register. At the end of the day, she has $1208 in the register. How much money should she send to the state government for the sales tax she collected? \n" ); document.write( "
Algebra.Com's Answer #543408 by Theo(13342) You can put this solution on YOUR website! she starts the day with $200. \n" ); document.write( "she ends the day with $1208. \n" ); document.write( "she earned $1008 that day. \n" ); document.write( "this includes the sales tax that she collected.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "her receipts for the day include the amount of the goods plus 6% sales tax.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "receipts = amount of goods sold + .06 * amount of goods sold = 1.06 * amount of goods sold.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "$1008 = receipts = 1.06 * amount of goods sold.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "amount of goods sold is therefore equal to $1008 / 1.06 = 950.9433962.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the sales tax on 950.9433962 was .06 * 950.9433962 which is equal to 57.05660377.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add up 950.9433962 and 57.05660377 and you get 1008, as you should.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "she collected 57.05660377 in sales tax on the amount of goods she sold for the day.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "round that off to the nearest penny and she should send $57.06 to the state government for the amount of goods she sold that day.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |