Answer:
G
Step-by-step explanation:
Set-up a proportion with equal ratios.

Solve for x by cross multiplying.
3*106 = 50*x
318 = 50x
6.36 = x
Answer: $2 variable per person, 120 base fee Step-by -step explanation : the delta are 20 persons and \$40 therefore variable cost are $2 per person base fee: 180-30*2=120
Hope this helps
It moves in a horizontal line. Its 'y value' does not change.
Answer: -4/5
Step-by-step explanation:
Ok so cos(x) = -4/5 and we know that:
.
If we plug that in and solve for sin(x) we get:

Now we have to consider: <em>is sin(x) positive or negative?</em>
We have that
.
From the unit circle, we know that sin(x) is negative in this range. Therefore sin(x) actually equals -3/5.
But the question asks: <em>what is
?</em>
Here's where another important equation comes in:

In this case, we have alpha = x and beta = pi/2.
So, that looks like:
sin(x + pi/2 )= sin(x)cos(pi/2) + cos(x)sin(pi/2)
We already have what sin(x) and cos(x) are. We also know that sin( pi/2) = 1 and cos(pi/2) = 0.
sin(x + pi/2 ) = (-3/5)(0) + (-4/5)(1).
Therefore we simply have
sin(x + pi/2) = -4/5