document.write( "Question 1166937: Your teacher's savings account has a $10 a month fee if her balance falls below $1,000. Her account has a balance of $1,283.78 and she withdrawals $290. What is her balance 6 months later? \n" ); document.write( "
Algebra.Com's Answer #852409 by ikleyn(52949) You can put this solution on YOUR website! . \n" ); document.write( "Your teacher's savings account has a $10 a month fee if her balance falls below $1,000. \n" ); document.write( "Her account has a balance of $1,283.78 and she withdrawals $290. What is her balance 6 months later? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Unfortunately, the problem missed to disclose a criterion, according to which it is determined\r \n" ); document.write( "\n" ); document.write( " that the balance is below $1,000. It can be the balance on the last day of a month, or, alternatively, \r \n" ); document.write( "\n" ); document.write( " the average balance per month.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " But since the problem does not disclose a precise criterion, I will assume that the balance on the last day\r \n" ); document.write( "\n" ); document.write( " of the month is the criterion. It is very natural and very consistent with the problem to think so.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " OK. Armed with this assumption, let' start the solution.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let's assume that the teacher withdrawals $290 on February, 25.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "So, the day 6 months later is August, 25, and we should find out the teacher's balance on August, 25.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Let's make a timebook with balances, as shown below.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Feb.25 $1283.78 - $290 = $993.78. At the end of February, $10 subtracted. The rest is $983.78.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Mar.25. No withdrawals. At the end of Match, $10 subtracted. The rest is $973.78.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Apr.25. No withdrawals. At the end of April, $10 subtracted. The rest is $963.78.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "May 25. No withdrawals. At the end of May, $10 subtracted. The rest is $953.78.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "June 25. No withdrawals. At the end of June, $10 subtracted. The rest is $943.78.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "July 25. No withdrawals. At the end of July, $10 subtracted. The rest is $933.78.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Aug. 25. No withdrawals. On August, 25, the teacher has $933.78 at her account.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. The teacher's balance 6 months later is $933.78.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "----------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I was taught as a child that it is bad manners to count money in someone else's pocket. \n" ); document.write( "Especially when the other person is so reputable and respectful person as a teacher (my teacher !) \n" ); document.write( "Therefore, I didn't even attempt to solve this problem. \n" ); document.write( "But when I saw another tutor's incorrect solution, giving $923.78 as the answer, \n" ); document.write( "I couldn't contain myself anymore. May my teachers forgive me . . . \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |