document.write( "Question 585415: PLZZ help!!!!!!!!!!!!!!!!!!!!\r
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document.write( "A young couple that recently had their third child decide they need to purchase a new van. They make a down payment of $10,000 and finance the remaining $22,000 to purchase a 2010 Toyota Sienna. They arrange financing with their local financial institution and arrange an annual interest rate of 5.2% compounded monthly. They decide to make monthly payments of $400. What will be the outstanding balance on their loan after 24 months? \n" );
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Algebra.Com's Answer #373335 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "L = 22,000 - 10,000 = 12,000 is the loan amount \n" ); document.write( "i = r/12 = 0.052/12 is the monthly interest rate \n" ); document.write( "n = 24 is the number of months \n" ); document.write( "P = 400 is the monthly payment\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "B(n) = L*(1+i)^n - P*( (1+i)^n - 1 )/i \n" ); document.write( "B(24) = 12000*(1+0.052/12)^24 - 400*( (1+0.052/12)^24 - 1 )/(0.052/12) \n" ); document.write( "B(24) = 3,218.25965151418 \n" ); document.write( "B(24) = 3,218.26\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: $3,218.26\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------------------\r \n" ); document.write( "\n" ); document.write( "More Info about the formula used: \n" ); document.write( "http://financeformulas.net/Remaining_Balance_Formula.html\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Here is a table of the balances \n" ); document.write( " ![]() \n" ); document.write( "The idea is that you compute the compound interest first and then the payment is made afterward. \n" ); document.write( "This process is repeated 24 times to generate the 24 rows. \n" ); document.write( " \n" ); document.write( " |