If I am reading this right, the final total after adding the 55% markup rate should be $159.65.
ANSWER

EXPLANATION
The complex number shown has coordinates (2,-2)
or

The modulus is


The argument is


The polar form is

The first option is correct.
Hi there!

The value of f(-6) is the y-value at the x-coordinate x = -6.
Looking at the graph, we can see that at x = -6, y = 5.
Therefore, f(-6) = 5.
First, let's establish a ratio between these two values. We'll use that as a starting point. I personally find it easiest to work with ratios as fractions, so we'll set that up:

To find the distance <em>per year</em>, we'll need to find the <em>unit rate</em> of this ratio in terms of years. The word <em>unit</em> refers to the number 1 (coming from the Latin root <em>uni-</em> ); a <em>unit rate</em> involves bringing the number we're interested in down to 1 while preserving the ratio. Since we're looking for the distance the fault line moves every one year, we'll have to bring that 175 down to one, which we can do by dividing it by 175. To preserve our ratio, we also have to divide the top by 175:

We have our answer: approximately
0.14 cm or
1.4 mm per year
Ugh this hurts my head just looking at it, but I'll show the process.
PEMDAS
Addition before subtraction (Not that it matters here).
2 - (-4) is the same as adding 4. This equals 6.
-1 - (-3) is the same as adding 3. This equals 2.
Adding these two expressions together equals 8.
Showing my work...
2 - (-4) + (-1) - (-3)
6 + (-1) - (-3)
6 + 2
8