Answer:
DB
Step-by-step explanation:
Basically, the radius is the measure of the distance from the center to any point on a circle. Hence the answer, DB.
The number of $0.50 increases to maximize the profit is X = 1.
First of all, we need to write the linear function which represents the price of the ticket for each increase of $0.50:
P - Price of each ticket.
x - number of increases.
We know that the current price is $5.00, so:

After that, let's build a linear function which shows the number of tickets sold <u>for each</u> price increase:
T - number of tickets.
x - number of increases.

With all this done, we can finally build the quadratic function which represents the money earned:
M - money earned

Now, to finish, we only have to <u>calculate the value of X</u>(number of increases) which can give us the maximum value of this function:
the X coordinate for the maximum value of a quadratic is expressed by:

In our equation, b = 100 and a = - 50 :

Thus, the number of increases which <u>maximizes</u> the profit is 1.
Learn more about linear and quadratic functions in: brainly.com/question/4119784
Answer:
m∠A = 144°, m∠B = 36°
Step-by-step explanation:
Supplementary angles are angles that add up to 180 degrees.
Substitute 4(m∠B) for m∠A.
4(m∠B) + m∠B = 180
5(m∠B) = 180
<u>m∠B = 36°</u>
Substitute 36 for m∠B.
4(36) = m∠A
<u>m∠A = 144°</u>
Answer:
6973568802
Step-by-step explanation:
I memorized the equation: A(n) = A(1)*d^(n-1).
You can plug into the equation A(21) = 2*3^20, which can be solved to 6973568802. (I solved this step through a calculator by finding 3^20, then multiplying that by 2 to get 6973568802.
Hope this helps!