The maximum profit is the highest point on the curve at (3, 45), and since the y-value is the profit in hundreds of dollars, the maximum profit is $4500.
The shop is making a profit as long as the curve is above the x-axis, so this is over the given interval (0, 10).
The maximum profit is earned at x = 3, and the x-value is the money spent on advertising in hundreds of dollars, so this means that $300 was spent of advertising.
<u>ANSWER</u>
A. (4,12)
<u>EXPLANATION</u>
The equations are:

and

To eliminate a variable we make the coefficients of that variable the same in both equations.
It is easier to eliminate x.
We multiply the first equation by 2 to get:

We add equations (2) and (3).


Divide both sides by 23


Put x=4 into equation (1).






The solution is (4,12)
Answer:
0.3339 = 33.39% probability that both Dave and Mike will show up
Step-by-step explanation:
Probability of independent events:
If A and B are independent events, the probability of both happening at the same time is given by:

In this question:
Event A: Dave shows up.
Event B: Mike shows up.
Christine knows that there is a 47% chance that Dave will not show up and a 37% chance that Mike will not show up.
This means that
.
a. What is the probability that both Dave and Mike will show up

0.3339 = 33.39% probability that both Dave and Mike will show up
We have the triangle 30° - 60° - 90°.
The lenght of the sides are in proportion: 
