Given:
A figure of right triangle with terminal angle
, base u, perpendicular v and hypotenuse r.
To find:
The value of
.
Solution:
In a right angle triangle,
![\sin \theta=\dfrac{Perpendicular}{Hypotenuse}](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta%3D%5Cdfrac%7BPerpendicular%7D%7BHypotenuse%7D)
Substituting Perpendicular = v and hypotenuse = r in the above formula, we get
![\sin \theta=\dfrac{v}{r}](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta%3D%5Cdfrac%7Bv%7D%7Br%7D)
The value of
is
.
Therefore, the correct option is B.
The next bigger hundredth is 20.81 .
The next smaller hundredth is 20.79 .
Neither of those is closer to 20.8 than 20.8 already is.
So 20.8 is already rounded to the nearest hundredth.
The amortization formula can be used to figure this.
... A = P(r/n)/(1 -(1 +r/n)^(-nt))
where A is the monthly payment, P is the amount borrowed, r is the annual interest rate, n is the number of times per year interest is compounded, and t is the number of years.
Fill in the given information, and solve for P (in either order).
... 821.69 = P(.065/12)/(1 - (1 +.065/12)^(-12*30)) ≈ 0.00632068023P
... P ≈ 130,000.25 . . . . . divide by the coefficient of P
Rounded to the nearest dollar, you borrowed $130,000.