MHB A family buys a house and has to pay monthly

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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.
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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
 
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hmm...probably missing some parentheses.

- - - Updated - - -

AHHH see my mistake! keep on making 11% in decimal form to .011 silly me (Drunk)(Drunk)(Drunk)
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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