MHB A family buys a house and has to pay monthly

  • Thread starter Thread starter needOfHelpCMath
  • Start date Start date
AI Thread Summary
A family borrows $40,000 at an 11% annual interest rate for 30 years, seeking to determine their monthly payment. The correct formula for calculating monthly payments is R = P(r/m) / [1-(1+r/m)^(-mt)], where R is the periodic payment, P is the loan amount, r is the interest rate in decimal form, m is the number of payments per year, and t is the loan term in years. After some confusion with the decimal conversion of the interest rate, the correct monthly payment was identified as approximately $380.93, corresponding to option C. The discussion highlights the importance of accurate calculations and understanding the formula components. Ultimately, the correct approach leads to the accurate monthly payment figure.
needOfHelpCMath
Messages
70
Reaction score
0
In order to purchase a home, a family borrows \$40,000 at an annual interest rate of 11%, to be paid back over a 30 year period in equal monthly payments. What is their monthly payment?

A) \$366.67 B) \$12.12 C) \$380.93 D) \$392.05

Using the Periodic Deposit for Monthly Amortize Payments formula but can't get the right answer or I am using the wrong equation?
Here is the equation:

R = P(r/m) / [1-(1+r/m)^(-mt)]

R = the periodic deposit for ANNUITY/ Sinking fund/ Amoritization
P = Present Value or Deposit Value
r = interest rate in decimal
m = number of times interest is compounded per year
t = time

when I plug in the numbers my answer is \$130.50
 
Last edited by a moderator:
Mathematics news on Phys.org
hmm...probably missing some parentheses.

- - - Updated - - -

AHHH see my mistake! keep on making 11% in decimal form to .011 silly me (Drunk)(Drunk)(Drunk)
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
Back
Top