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Dominik [7]
4 years ago
14

A computer training institute has 625 students that are paying a course fee of $400. Their research shows that for every $20 red

uction in the fee, they will attract another 50 students. What fee should the school charge to maximize their revenue?
$275
$380
$320
$325
Mathematics
1 answer:
Anastasy [175]4 years ago
6 0
1.
If no changes are made, the school has a revenue of :

625*400$/student=250,000$

2.
Assume that the school decides to reduce n*20$.

This means that there will be an increase of 50n students.

Thus there are 625 + 50n students, each paying 400-20n dollars.

The revenue is: 

(625 + 50n)*(400-20n)=12.5(50+n)*20(20-n)=250(n+50)(20-n)

3.

check the options that we have, 

a fee of $380 means that n=1, thus 

250(n+50)(20-n)=250(1+50)(20-1)=242,250   ($)


a fee of $320 means that n=4, thus

 250(n+50)(20-n)=250(4+50)(20-4)=216,000    ($)


the other options cannot be considered since neither 400-275, nor 400-325 are multiples of 20.

Conclusion, neither of the possible choices should be applied, since they will reduce the revenue.
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I don't think this question is complete but here's ur answer

5 0
2 years ago
In two or more complete sentences, compare the number of x-intercepts in the graph of f(t) = 12 to the number of x-
alina1380 [7]

Answer:

Both functions have one x-intercept each.

Step-by-step explanation:

The first function is

f(t )=  {t}^{2}

This is a parabola with vertices at the origin and has one x-intercept at t=0.

The transformed function is

g(t) =  {(t + 3)}^{2}

The function g(t) is obtained by shifting the graph of f(t) to the left by 3 units.

This graph also has one x-intercept at x=-3.

Therefore both functions has the same number of x-intercepts

8 0
3 years ago
group of friends wants to go to the amusement park. They have $366.50 to spend parking and admission. Parking is $19, and ticket
Lostsunrise [7]
Step 1:
Subtract $19 from total
366.50 - 19 = 347.5

Step 2:
Divide this total by the ticket price
347.50 / 34.75 = 10

Step 3:
You have your answer
10 people can go to the amusement park
5 0
2 years ago
Finding the roots (zeros)
GenaCL600 [577]

Answer:

1.5 + 1.3228756555323i

1.5 - 1.3228756555323i

Step-by-step explanation:

y = ax^2 + bx + c

a = 1, b = -3, c = 4

Using the quadractic formula:

\frac{-b±\sqrt{b^2-4ac} }{2a} \\\\= \frac{3±\sqrt{9-4(1)(4)}}{2(1)}\\\\= \frac{3±2.64i}{2}\\\\= 1.5 ±  1.32

Note: Kindly ignore the A in the above solution ^

Hence, there is no real solution. It has complex roots.

<em>Feel free to mark this as brainliest! :D</em>

4 0
3 years ago
Helpp pls I need an answer
FinnZ [79.3K]

Answer:

It would be 6

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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