The expected value is to get either a $5 bill or a $10 bill because of it has more of it's kind in the wallet.
<h3>E
xplanation:</h3>
Replace cos^2(θ) with 1-sin^2(θ), and cot(θ) with cos(θ)/sin(θ).
cos^2(θ)cot^2(θ) = cot^2(θ) - cos^2(θ)
(1 -sin^2(θ))cot^2(θ) = . . . . . replace cos^2 with 1-sin^2
cot^2(θ) -sin^2(θ)·cos^2(θ)/sin^2(θ) = . . . . . replace cot with cos/sin
cot^2(θ) -cos^2(θ) = cot^2(θ) -cos^2(θ) . . . as desired
71/100 because 71 cant be divided by anything
Calculate the monthly payment:
195,000 x ( (0.05/12)x1+0.053)^12)/(1+0.053)^12-1)
Monthly payment = 1,082.84
Multiply monthly payment by 12 to get one year: 1082.84x 12 = 12994.08
Now multiply by 30 years:
12994.08 x 30 = 389822.40
The answer is $389,822