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
Rashid [163]
3 years ago
6

The Vilas County News earns a profit of $20 per year for each of its 3,000 subscribers. Management projects that the profit per

subscriber would increase by 1¢ for each additional subscriber over the current 3,000. How many subscribers are needed to bring a total profit of $109,725?
Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
8 0

Answer:

850

Step-by-step explanation:

Current profit per year = $ 20

Number of subscribers = 3000

For each additional subscriber over 3000, the profit will increase by 1 cent or by $ 0.01. For example, for 3001 (3000 + 1) subscribers, the profit will be $ 20.01 per year. Similarly, for 3002 (3000 + 2) subscribers, the profit will be $20.02 per year and so on.

So, for x additional subscribers over 3000, the profit will increase by 0.01(x). i.e. for (3000 + x) subscribers, the profit will be $(20 + 0.01x)

Since, profit per each subscriber is $(20 + 0.01x), the profit for (3000 + x) subscribers will be:

Total profit = Number of subscribers x Profit per each subscriber

Total profit = (3000 + x)(20 + 0.01x)

We want to calculate how many subscribers will be needed to bring a profit of $109,725. So, we replace Total profit by $109,725. The equation now becomes:

109725=(3000+x)(20+0.01x)\\\\ 109725=60000+30x+20x+0.01x^{2}\\\\ 0.01x^{2}+50x+60000-109725=0\\\\ 0.01x^{2}+50x-49725=0\\

Using quadratic formula, we can solve this equation as:

\\ x=\frac{-50 \pm \sqrt{50^{2}-4(0.01)(-49725)}}{2(0.01)}\\\\ x=\frac{-50 \pm67}{0.02}\\\\ x=\frac{-50-67}{0.02} , x=\frac{-50+67}{0.02}\\\\  x=-5850, x=850

x = -5850 is not a possible solution as this would make the total number of subscribers to be negative. So we reject this value.

Therefore, the answer to this question is 850. 850 more subscribers are needed to being a total profit of $109,725

You might be interested in
PLEASE HELP! REWARDING BRAINLIEST
TEA [102]
X+2y=2 …(1)
x-2y=-2…(2)

(1)-(2): (x+2y)-(x-2y)=2- (-2)
4y=4
y=1

subs y=1 into(1)
x+2(1) =2
x=0

so x =0 y=1
the answer is C
7 0
3 years ago
A skateboard ramp at the skate park is in the shape of a triangular prism. What is the lateral surface area of the ramp? (SA = P
rodikova [14]

Answer:

Step-by-step explanation: i dont know

3 0
3 years ago
The radius of a circle is 1 in. What is the circle's area? (Take a=3.14)
Kitty [74]

Answer:

3.14 inches

Step-by-step explanation:

area of circle = πr²

=> 3.14 x 1 x 1

=> 3.14 inches

8 0
2 years ago
Read 2 more answers
18 POINTS will rate brainiest 6th grade math
stira [4]

Answer:

18 ft^2

Step-by-step explanation:

The area of a parallelogram is A=bh.

The area would be A = 9*4.

A = 36

To find the area of one trapezoid you divide the area of the parallelogram by 2.

36/2 = 18 ft^2

5 0
3 years ago
Which equations transform the parent secant graph to the parent cosecant graph?
jenyasd209 [6]

Answer:

B

Step-by-step explanation:

y=sec(x+pi/2)

Took the test on e2020

7 0
3 years ago
Read 2 more answers
Other questions:
  • Rational numbers can be written as fractions?<br><br> Always<br> Sometimes<br> Never
    5·1 answer
  • Simplify this expression. 12x2(3x4 − 2x)
    5·1 answer
  • In the expression z-2t+49-q, what is 49 called?
    7·1 answer
  • Determine if (1,2) (3,4) (5,5) is a function
    6·2 answers
  • I don't understand it and idk the answer ​
    13·1 answer
  • Madison has 142 stickers in her collection.what is 142 rounded to the nearest ten
    7·2 answers
  • Which of the following scatterplots would have a trend line with a negative slope?
    5·1 answer
  • HELP ME 7th grade math<br>What is the total surface area?​
    6·1 answer
  • A length of a rope is stretched between the top edge of a building
    8·1 answer
  • Name each angle in four ways. Then classify the angle as acute, right, obtuse,or straight.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!