Answer:
$107.10
Step-by-step explanation:
The original price of the CD player is $120 and we need to take 15% off.
We can find how much we need to subtract by multiplying 120 by .15, which equals 18. Then we can subtract that from 120, to get a sales price of $102.
A shortcut is subtracting 15 from 100 to get 85, and then doing 120*.85 = 102.
From the sales price of 102, there's a 5% tax to add on. 102 * .05 = 5.1
102+5.1 = 107.1
Do you have the numbers? if you do then add them together
Answer:
The equation of line passing through points (1 , 0) is x - 5 y - 1 = 0
Step-by-step explanation:
Given equation of line as
x + 5 y = 30
Now, equation of line in standard form is y = m x + c
where m is the slope
So, x + 5 y = 30
Or, 5 y = - x + 30
Or, y = -
x + 6
So, Slope of this line m = - ![\frac{1}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D)
Again , let the slope of other line passing through point (1 , 0) is M
And Both lines are perpendicular , So , products of line = - 1
i.e m × M = - 1
Or, M = -
Or, M = - 1 × -
= ![\frac{1}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D)
So, equation of line with slope M and points (1, 0) is
y -
= M × (x -
)
Or, y - ( 0 ) =
× ( x - 1 )
Or, y =
x -
× 1
Or, y =
x - ![\frac{1}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D)
or, y +
=
x
Or, 5×y + 1 = x
∴ 5 y + 1 = x
I.e x - 5 y - 1 = 0
Hence The equation of line passing through points (1 , 0) is x - 5 y - 1 = 0 Answer
To find the
![x_i](https://tex.z-dn.net/?f=x_i)
intercept, set
![x_j=x_k=0](https://tex.z-dn.net/?f=x_j%3Dx_k%3D0)
. By this I refer to the following procedure.
x-intercept: Set
![y=z=0](https://tex.z-dn.net/?f=y%3Dz%3D0)
, then you're left with
![4x=60\iff x=15](https://tex.z-dn.net/?f=4x%3D60%5Ciff%20x%3D15)
. Then the x-intercept is
![(15,0,0)](https://tex.z-dn.net/?f=%2815%2C0%2C0%29)
.
y-intercept: Set
![x=z=0](https://tex.z-dn.net/?f=x%3Dz%3D0)
, then
![-6y=60\iff y=-10](https://tex.z-dn.net/?f=-6y%3D60%5Ciff%20y%3D-10)
. The y-intercept is
![(0,-10,0)](https://tex.z-dn.net/?f=%280%2C-10%2C0%29)
.
z-intercept: Set
![x=y=0](https://tex.z-dn.net/?f=x%3Dy%3D0)
, then
![-5z=60\iff z=-12](https://tex.z-dn.net/?f=-5z%3D60%5Ciff%20z%3D-12)
. The z-intercept is
![(0,0,-12)](https://tex.z-dn.net/?f=%280%2C0%2C-12%29)
.
I’m not sure about the first 2