Alice purchased a house using a fixed rate mortgage. The annual interest rate is 5.6% compounded monthly for 30 years. The mortgage amount is $205,000. What is the monthly payment on the mortgage? $601.33 $1,176.86 $1,189.00 $1,271.15
@phi
@Mertsj
@TuringTest
@e.mccormick
@golfergirl93
\[M=P\frac{i(1+i)^n}{(1+i)^n-1}\]
P= principal i = interest rate n = number of payments
and what would that give you cause m not getting the correct answer
@Mertsj
@zimmah
@Zale101
@charlotte123
@wolfe8
I know I am a tad late. But for anyone else who may need it \[M = P [ i(1 + i)^n ] / [ (1 + i)^n - 1]\] Would be the formula like @mertsj said. I believe when you said you got the wrong answer, you did not divide the interest rate by 12 since you were given the annual interest. Here is my work: P = 205,000 i = .056/12 = 0.00466666666 (since you were given the annual interest and we need the monthly payment) n = 30*12 = 360 (since you were given the years and you need the months) M = 205,000 [ 0.00466666666(1 + 0.00466666666)^360 ] / [ (1 + 0.00466666666)^360 - 1] M = 205,000 [ 0.00466666666(1.00466666666)^360 ] / [ (1.00466666666)^360 - 1] M = 205,000 [ 0.00466666666(5.34462910282) ] / [ (5.34462910282) - 1] M = 205,000 [.02494160244] / [4.34462910282] M = 205,000 [.0057407898] M = $1,176.86
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