SOLUTION: Suppose a bank offers you a 4% interest rate on a 15-year mortgage to be paid back with monthly payments. The most you can afford to pay in monthly payments is $800. What is the m

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Suppose a bank offers you a 4% interest rate on a 15-year mortgage to be paid back with monthly payments. The most you can afford to pay in monthly payments is $800. What is the m      Log On


   



Question 1057693: Suppose a bank offers you a 4% interest rate on a 15-year mortgage to be paid back with monthly payments. The most you can afford to pay in monthly payments is $800. What is the maximum mortgage you can afford to take out for your home?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Principal=payment (1-(1+(r/n))^(-180))/(r/n), the 180 comes from years* months in a year, or 180 compoundings.
=800(1-(1+r/n))^(-nt))/(r/n)
=800(1-(1.0003333)^(-180)/(.003333) do without rounding.
=800(1-0.54935)/(.00333)
$108153.72.