Answer:
11.33
Step-by-step explanation:
First find the markup
8.80 * 25%
8.8 *.25 = 2.20
The new price is 8.80+2.20 = 11
Now find the tax
11*.03
.33
Add the tax to the new price
11+.33
11.33
Let . The tangent plane to the surface at (0, 0, 8) is
The gradient is
so the tangent plane's equation is
The normal vector to the plane at (0, 0, 8) is the same as the gradient of the surface at this point, (1, 1, 1). We can get all points along the line containing this vector by scaling the vector by , then ensure it passes through (0, 0, 8) by translating the line so that it does. Then the line has parametric equation
or , , and .
(See the attached plot; the given surface is orange, (0, 0, 8) is the black point, the tangent plane is blue, and the red line is the normal at this point)
Answer:
x=3
Step-by-step explanation:
3x + x + x + x − 3 − 2 = 7 + x + x
Combine like terms
6x -5 = 7+2x
Subtract 2x from each side
6x-2x -5 = 7+2x-2x
4x-5 =7
Add 5 to each side
4x-5+5 = 7+5
4x =12
Divide by 4
4x/4 = 12/4
x = 3
14:21 one is the right answer
Point slope formula y-y1=x(x-x1)