document.write( "Question 759377: What is the loan payment for a $128,000 home bought with a 20% down payment and the balance financed for 30 years at 9.5% \n" ); document.write( "
Algebra.Com's Answer #461992 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! 20% down payment, so 80% is financed\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "80% of $128,000 = 0.8*128000 = 102,400 is financed (ie loaned out)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Turn to the formula P = L[c(1 + c)^n]/[(1 + c)^n - 1]\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P = monthly payment \n" ); document.write( "L = amount loaned out \n" ); document.write( "c = monthly interest rate \n" ); document.write( "n = number of payments\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In this case\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P = unknown \n" ); document.write( "L = 102400 \n" ); document.write( "c = 0.095/12 = 0.00791666666666667 \n" ); document.write( "n = 30*12 = 360\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Plug all that into the formula to get \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P = L[c(1 + c)^n]/[(1 + c)^n - 1]\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P = 102400[0.00791666666666667(1 + 0.00791666666666667)^360]/[(1 + 0.00791666666666667)^360 - 1]\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P = 861.03470815104\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P = 861.03\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The monthly payment is $861.03 \n" ); document.write( " |