1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dominik [7]
3 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]3 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.
You might be interested in
If angle B measures 120 degrees, find
SpyIntel [72]

Answer:

C. 120°

Step-by-step explanation:

There are two paralell lines, one is part of Angle B, and the other of Angle Q. Then there is a diagonal line, coming at the same angle from B all the way to Q, because the other two lines are paralell. It basically means if you were to slide the flat line which is connected to Q up the diagonal line, it would fit perfectly with it's parallel. So the two angles; Angle B and Angle Q; are the exact same.

Hope this helped! Good luck with future math problems :)

7 0
3 years ago
Read 2 more answers
How do you take notes in math? I am struggling on math and I don't know how to take notes in math. ASAP! Please! I know how to t
Delvig [45]

Answer:

Step-by-step explanation:

1) Calm down, your motivated and determined so you will do awesome!

2) write the date AND the chapter the notes are from

3) Write down EVERYTHING even the stuff your teacher says that you dont need to write down

4) use a highlighter or underline important info, your brain cant memorize everything!

5) draw pictures! math is all about visualization

6) if your teacher is teaching a new concept he/she will definetly give you some examples to write down, make up your own examples and solve them to go beyond

7) abbreviate, teachers talk pretty fast so you may struggle to get everything down, if you abbreviate writing will be faster, just dont forget to make a key for your abbreviations so that you dont forget!

8) ask for help!- the most effective tool in the shelf

9) go online and search up worksheets to do

10) write down in you notebook each step you need to take in order to get the answer.

11) Hope this helps! and good luck!

6 0
3 years ago
Find an explicit rule for the nth term of the sequence. <br><br> 2, -8, 32, -128, ...
Akimi4 [234]
A1=2
a2=-8
a3=32
a4=-128

a2/a1=(-8)/2→a2/a1=-4
a3/a2=32/(-8)→a3/a2=-4
a4/a3=(-128)/32→a4/a3=-4

a2/a1=a3/a2=a4/a3=r=-4

an=a1*r^(n-1)
an=2*(-4)^(n-1)

The explicit rule for the nth term of the given sequence is an=2*(-4)^(n-1) 
8 0
3 years ago
Joey has $400 in a bank account that earns 8% in annual interest. Would this equation be Linear or Exponential?
Dennis_Churaev [7]

Exponential

The first year, he would earn 8% interest on the $400 deposited, so he'd have $432. The next year, he would earn 8% interest on the interest earned the previous year in addition to the amount deposited, so he'd have $466.56.

His bank balance would follow the compound interest equation which is exponential.

= 400 × 1.08^t

where t is the number of years since the deposit

3 0
3 years ago
Write the Recursive Rule for the sequence:
skad [1K]

A formula is recursive if it expresses the term a_n in terms of the previous one(s) a_{n-1},\ a_{n-2},\ \ldots,\ a_1

In this case, every term is 7 more than the previous one, so the formula for a_n will only involve a_{n-1}:

a_n = a_{n-1} + 7

In fact, this formula is simply saying: for every index n, the term with that index is 7 more than the term before.

Also, we have to specify the starting point (otherwise we would go backwards indefinitely), so the complete recursive formula is

a_n = a_{n-1} + 7,\quad a_1 = 2

which means: start with 2 and generate every other term by adding 7 to the previous one.

5 0
3 years ago
Other questions:
  • 49, 34, and 48 students are selected from the Sophomore, Junior, and Senior classes with 496, 348, and 481 students respectively
    11·1 answer
  • Please help!! Thanks
    10·1 answer
  • If Sam buys a $400 iPhone from the Apple store at 25% off and then sells it to Suzy 30% off what he paid how much will Suzy pay
    14·2 answers
  • I need help to solve this answer
    9·2 answers
  • Fine the percent of the number 12% of 325
    13·2 answers
  • Robert gets a loan from his bank.
    8·1 answer
  • 3x^2-18x+24 find factor
    11·1 answer
  • A right triangle table top has legs that
    9·2 answers
  • Which is the ordered pair that represents a point whose x-coordinate is the opposite of its y-coordinate and is located in Quadr
    8·1 answer
  • Find the area of the shaded polygon.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!