
often denotes an angle, where

is conventionally used.
Adding

, where

is any integer, is the same as saying that

is equivalent to

etc.
This is the case because a complete revolution has an angle measure of

, which means that adding any multiple of

to a given angle results in the same angle.
Example:
If

, then

. This is also true if

, which gives

.
She should pay $23.62 because 100% times 0.2036 equals 20.36. Do that with the 16% to get about 3.26. Add that to 20.36 to answer your question.
Option A: The vessel has sailed 34 miles South
Explanation:
Given that the vessel sails 41 miles S 35° E.
We need to determine the how far south the vessel has sailed.
Let us use the Pythagorean theorem to find the distance of the vessel has sailed.
Thus, we have,

Substituting
,
and 
Hence, we get,

Simplifying, we have,

Multiplying both sides by 41, we have,

Rounding off to the nearest integer, we have,

Thus, the vessel has sailed 34 miles South.
Therefore, Option B is the correct answer.
Answer:
29037.036 miles
Step-by-step explanation
There are two possible ways to solve this problem.
The first option starts with the $2800 dollars for the years. You first want to divide this by $2.70, because it will give you the amount of gallons of gas you can buy with that money.
2800/2.70 = 1037.037
This means you can buy 1037.037 gallons of gas in the year. Now you need to convert this to miles by multiplying by the amount of miles per gallon.
1037.037 x 28 = 29037.036 gallons
The second way to look at this is dimensional analysis. If you have learned this, then continue on reading this, but if you haven't I might only confuse you. I only suggest this because it can make it a little easier.
For the dimensional analysis, you need to start with what you are given and move to what you need to know, so you will start with the $2800 dollars and move to gallons. $2.70 per gallon and 28 miles per gallon are your conversion factors.
Set it up like this:

This allows the equation to be more organized, and you can check your work by canceling the units.
Hope this helps.