The area of any circle is equal to

, where r is the radius.
We know that the diameter is 12. The radius is always half of the diameter, so the radius of our circle must be 6.
Substitute 6 for r in our equation and simplify.
π6² = π6×6 =
36π in²
Answer: You receive 14x+45 dollars for each gallon of cider that you sell.
Step-by-step explanation:
Given: For selling each gallon of cider, the company receives x dollars.
You receive = Remaining amount
i.e. You receive $(Selling price - x)
By selling 15 gallons in 15x+45 dollars, you have received (15x+45)-x dollars
i.e. You received 15x+45-x dollars
i.e. You received 14x+45 dollars.
Hence, you receive 14x+45 dollars for each gallon of cider that you sell.
Answer:
Option 1. Hope this helps! :).
Sincerely; Victoria
Step-by-step explanation:
By definition, we have

So, we have to solve two different equations, depending of the possible range for the variable. We have to remember about these ranges when we decide to accept or discard the solutions:
Suppose that 
In this case, the absolute value doesn't do anything: the equation is

We are supposing
, so we can accept this solution.
Now, suppose that
. Now the sign of the expression is flipped by the absolute value, and the equation becomes

Again, the solution is coherent with the assumption, so we can accept this value as well.
50% because you first subtract the original price from the new price so 126-84 equals 42 then you divide that by the original price 84 which will give you .5 which turns to 50%