She will have to pay $2,700.
She is starting with a bill of $11,000. If we subtract the 1500 grant and 5000 scholarship, she has left a bill of 4500.
She is going to earn 40% of it, so she still have to pay 60% of it.
0.6 x 4500 = 2700
Answer:
he can only serve 2
Step-by-step explanation: since 3.5 plus 3.5 is 7.0 if you add one more it turns to 7.0 plus 3.5 10.5 so the greatest he can serve is two people
Set up the equation of two ratios:
3 racks 36 racks
----------- = --------------
15 min x
Solve this for x: 3x =540; x = 180 minutes, or 3 hours
Answer:
C. It has been stretched horizontally.
Step-by-step explanation:
According to the diagram, the parabola has not been reflected in any way, nor has it been translated, since the parabola is pointing up in a smile, and the vertex is still at the origin.
The parabola does appear to be stretched, since the parent function had points at (1, 1), and (2, 4), but this parabola does not contain those points.
Since the parabola appears to be flatter than the parent function, we can say that C. It has been stretched horizontally.
Hope this helps!
Answer:

In order to maximize the last equation we can derivate the function in term of x and we got:

And setting this derivate equal to 0 we got:

And solving for x we got:

And for this case the value that maximize the profit would be x =95 and the corresponding profit would be:

Step-by-step explanation:
For this case we have the following function for the profit:

And we can rewrite this expression like this:

In order to maximize the last equation we can derivate the function in term of x and we got:

And setting this derivate equal to 0 we got:

And solving for x we got:

And for this case the value that maximize the profit would be x =95 and the corresponding profit would be:
