Answer:

Step-by-step explanation:
Given:
The magnitude, v=12
The angle
it makes with the positive x-axis =
Now for a vector (x,y)
; and
Therefore:


Similarly:


Recall that:

Therefore: 
The vector in the form ai+bj is therefore:

I'm assuming the limit is supposed to be

Multiply the numerator by its conjugate, and do the same with the denominator:

so that in the limit, we have

Factorize the first term in the denominator as

The
terms cancel, leaving you with

and the limand is continuous at
, so we can substitute it to find the limit has a value of -1/18.
So an exponential equation is gonna be used for this problem. The formula for such is

, in which the a variable is the initial value and the b variable is the growth/decay rate.
For this situation, 1200 is gonna be your a variable since you've started out with it. And as for your b variable, its gonna be 107.3%, or 1.073, since it's increasing.
Your equation should look like this:

and from here just plug in 10 into the x variable and solve.
Multiply (1.073)^10 (don't round answers until the end), and take that answer and multiply it with 1200, your answer should be $2427.61.
<span>There are 8 pints in 1 gallon, so 3 pints is 3/8 of a gallon </span>