The formula of the present value of an annuity ordinary is
Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]
Pv present value 280000
PMT monthly payment?
R interest rate 0.06
K compounded monthly 12
N time 20 years
Solve the formula for PMT
PMT=pv÷[(1-(1+r/k)^(-kn))÷(r/k)]
PMT=280,000÷((1−(1+0.06÷12)^(
−12×20))÷(0.06÷12))
=2,006.01
Answer:
30°, 1/2
Step-by-step explanation:
The triangle is a 30, 60, 90 right triangle. A very common right triangle. All the angles of a triangle add up to 180°. So if you take 180° - 90° - 60° = 30°.
Now we take sin(30)*2 the hypotenuse and get 1/2.
(524.4) because you first find 20% of 437 and then add your answer to 437 to get your total
Answer:
Domain: all real numbers except 0 and -3
Vertical asymptotes: x = 0; x = -3
Step-by-step explanation:
The domain is the set of numbers that can be substituted for x.
The expression has x in the denominator. Since division by zero is undefined, x cannot have any value that would cause a zero in the denominator. To find which values of x cause a zero in the denominator, we set the denominator equal to zero and solve the equation for x.
2x^2 + 6x = 0
Factor 2x.
2x(x + 3) = 0
Divide both sides by 2.
x(x + 3) = 0
x = 0 or x + 3 = 0
x = 0 or x = -3
Since the values x = 0 and x = -3 cause the denominator to equal zero, these two values of x must be excluded from the domain.
Domain: all real numbers except 0 and -3
The vertical asymptotes happen at the x values excluded from the domain.
Vertical asymptotes: x = 0; x = -3
Suppose, we are given
two points as
F as (x1, y1)
H as (x2, y2)
assume it divides in m/n
we can use formula
![G=(x,y)=(\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n})](https://tex.z-dn.net/?f=G%3D%28x%2Cy%29%3D%28%5Cfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%2C%20%5Cfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%29)
now, we are given points as
F=(x1, y1)=(4,8)
![x_1=4,y_1=8](https://tex.z-dn.net/?f=x_1%3D4%2Cy_1%3D8)
H=(x2, y2)=(10,12)
![x_2=10, y_2=12](https://tex.z-dn.net/?f=x_2%3D10%2C%20y_2%3D12)
![\frac{m}{n} =\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7Bm%7D%7Bn%7D%20%3D%5Cfrac%7B3%7D%7B4%7D)
so,
![m=3,n=4](https://tex.z-dn.net/?f=m%3D3%2Cn%3D4)
now, we can find
![x=(\frac{3*10+4*4}{3+4}, y=\frac{3*12+4*8}{3+4})](https://tex.z-dn.net/?f=x%3D%28%5Cfrac%7B3%2A10%2B4%2A4%7D%7B3%2B4%7D%2C%20y%3D%5Cfrac%7B3%2A12%2B4%2A8%7D%7B3%2B4%7D%29)
![x=\frac{46}{7} , y=\frac{68}{7}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B46%7D%7B7%7D%20%2C%20y%3D%5Cfrac%7B68%7D%7B7%7D)
so, point is
.................Answer