Answer: 20790
Step-by-step explanation:
Answer:
The exact value of tan(45°) is 1
Step-by-step explanation:
I hope it's helpful!
Answer:
See explanation
Step-by-step explanation:
Let
be the number of students and
be the number of adults on the show.
1. Tickets cost $15 for students, so x student tickets cost $15x.
Tickets cost $25 for adults, so y adult tickets cost $25y.
Total cost of all tickets is $(15x + 25y).
The charity show is conducted in order to raise at least $3,750, thus

2. The auditorium can accommodate up to 180 spectators, hence

3. We get the system of inequalities:

Plot all solutions sets to each inequality and the common region is the solution set to the system of inequalities. This region is not empty, so the charity will reach its goal. For example, if they sell 50 students tickets and 125 adult tickets, they will raise 
Answer:
The rate of change or slope m = -50
Step-by-step explanation:
The slope-intercept form of the line equation

where
- m is the rate of change or slope
Given that there is $500 in Holly's bank account.
Thus, the y-intercept b = 500
It is stated that she takes out $50 from her account each month but doesn't put money back in.
It means the rate of change or slope is decreasing.
Thus, the rate of change or slope m = -50
<u>EXTRA BONUS!</u>
We can also determine the line equation by substituting m = -50 and b = 500 in the slope-intercept form

y = -50x + 500
Here:
The slope m = -50
The y-intercept = 500