document.write( "Question 1179081: Nick has been depositing $ 190 in a savings account every three months for the past three years. This account paid 3 % convertible quarterly. Nick has just made the last deposit. Nick is buying a car for $ 14000. He is taking out a car loan. He will use the accumulated value of his savings account as the downpayment on the car. The loan is at 3 % convertible semiannually and has a term of 4 years. Find the size of Nick's monthly car loan payment. \n" ); document.write( "
Algebra.Com's Answer #850291 by ikleyn(52790)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Nick has been depositing $ 190 in a savings account every three months for the past three years. \n" ); document.write( "This account paid 3 % convertible quarterly. Nick has just made the last deposit. \n" ); document.write( "Nick is buying a car for $ 14000. He is taking out a car loan. He will use the accumulated value \n" ); document.write( "of his savings account as the downpayment on the car. The loan is at 3 % convertible semiannually \n" ); document.write( "and has a term of 4 years. Find the size of Nick's monthly car loan payment. \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "As the problem is worded, printed and presented, it seems illogical to me.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Indeed, it says that the car loan is compounded semiannually.\r \n" ); document.write( "\n" ); document.write( "The problem says nothing about the periodicity of the Nick payments.\r \n" ); document.write( "\n" ); document.write( "By default, it means that Nick pays semiannually for the car loan.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "But then the problem suddenly asks about the size of Nick's monthly car loan payments.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is out of the human logic to present the problem in this form.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then @CPhill in his solution finds the size of the Nick's monthly payments, \n" ); document.write( "assuming that the monthly loan rate is equivalent to the semiannual rate.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "But in reality, the bank does not perform monthly compounding for this loan - \n" ); document.write( "-it performs semiannual payments for accumulated 6-month deposits.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I understand that the problem's creator wants very much to create a new problem about a loan. \n" ); document.write( "I saw many attempts at this forum to create such problems. \n" ); document.write( "But very often, such attempts do not go along the human logic; instead, they go precisely against it. \n" ); document.write( "Exactly as this one does not go along the human logic - it goes against it.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "My opinion is that for this problem its formulation and the @CPhill' solution \n" ); document.write( "both are out of the human logic.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "They both are in area of absurdism, and the right place for both is a garbage bin.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |