A.) what will your monthly mortgage payment be due not round any intermediate computations B.) Assuming you take full term of mortgage how much total interest will you have paid? 380,000 is the price of the house mortgage rate is 5.8% terms of mortgage is 30 years
Question
Answer:
To answer your questions, I will use the formula for the monthly mortgage payment, which is:
$$M = P * \frac{(r / 12)}{ (1 - (1 + r / 12)^{-n})}$$
where M is the monthly payment, P is the principal amount, r is the annual interest rate, and n is the number of monthly payments.
A.) Plugging in the given values, we get:
M = 380000 * (0.058 / 12) / (1 - (1 + 0.058 / 12)^(-360))
M = 2229.66
Therefore, your monthly mortgage payment will be $2,229.66.
B.) To find the total interest paid, we need to multiply the monthly payment by the number of payments and subtract the principal amount:
I = M * n - P
I = 2229.66 * 360 - 380000
I = 422678.16
Therefore, the total interest paid over the term of the mortgage will be $422,678.16.
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