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
Vladimir [108]
2 years ago
12

The manufacturer of a CD player has found that the revenue R (in dollars) is R(p)= -4p2+1200p, when the unit price is p dollars.

If the manufacturer sets the price p to maximize revenue, what is the maximum revenue to the nearest whole dollar? (Find the Vertex)
Mathematics
1 answer:
qaws [65]2 years ago
4 0

Answer: 9000$

Step-by-step explanation:

Let 's use the formula to find the vertex of the parabola:

ax²+bx+c=0

\displaystyle x_v=-\frac{b}{2a}  \\\\  Where :\\\\ y_v- maximum \ \  income \\\\ y_v=a(x_v)^2+bx_v+c \\\\ Then \ in \ \ our \ \ case : \\\\ -4p^2+1200p =0 \\\\ x_v=-\frac{1200}{-4\cdot 2} =150 \\\\  y_v=-4\cdot (150)^2+150\cdot 1200 \\\\ y_v=150\cdot 1200-150\cdot 600 \\\\ y_v=600\cdot 150=\bf 9000 \

You might be interested in
A man earns rs 2000 and gives 10% of his earnings to charity. how much is his charity amount ?​
katovenus [111]

Answer:

rs 200

Step-by-step explanation:

10% of rs 2000

= \frac{10}{100} × 2000

= 0.1 × 2000

= 200

4 0
2 years ago
Read 2 more answers
Y varies inversely with x, and k (the constant of variation) = 1.24. What is the value of y when x = 4.96?
V125BC [204]

Answer:= y = 0.25 to the nearest hundredth.

Step-by-step explanation:

In inverse variation, both variables move in opposite directions. This means that as variable 1 increases, variable 2 reduces and as variable 1 reduces, variable 2 increases.

Y varies inversely with x.

So as y increases, x reduces and as y reduces, x increases.

We would proceed by introducing a constant of variation, k

y = k/x

From the information given,

The constant of variation, k = 1.24

The value if x = 4.96

To find the value of y

y = k/x = 1.24/4.96

= 0.25 to the nearest hundredth.

6 0
3 years ago
50 POINTS PLEASE HELP!!
Vinvika [58]

Answer: <u>A. 35</u>

Step-by-step explanation: The largest prime number less than 50. The largest number less than 50 is 49, but it is not prime, because 49=7·7. The previous number is 48, but it is also composite, because 48=2·2·2·2·3. The previous number is 47, it is prime.

The smallest composite number greater than 10. The smallest number greater than 10 is 11, but it is prime. The next number is 12, it is composite, because 12=2·2·3.

The difference between the largest prime number less than 50 and the smallest composite number greater than 10 is<u> 47-12=35.</u>

6 0
3 years ago
Read 2 more answers
Someone please help me!!
Phoenix [80]

Answer:

x=6

UV=40

WV=40

UW=30

Step-by-step explanation:

GIVEN UV=WV

6X+4=40

X=6

NOW PUT X=6 in WV AND UW

6 0
3 years ago
If there are 24 square units inside a figure, what is the area of the figure? 10 POINTS
swat32

Please disclose the figure when you ask a question that involves the figure.

8 0
3 years ago
Other questions:
  • Help I don’t understand number 18 I wrote the equation but I need help solving it the equation is 13 n - 1.50= 35.50
    10·1 answer
  • in connecticut state championships, rodrigo runs 1 mile race four different times. he finished with times of a minutes, b minute
    10·1 answer
  • PQR has vertices at P(2, 4), Q(3, 8) and R(5, 4). A dilation and series of translations map PQR to ABC, whose vertices are A(2,
    7·2 answers
  • A flower bed surrounds the base of a tree. It is enclosed by stones to form a circle that measure 25.12 feet around. What is the
    15·1 answer
  • A recipe calls for 4 L of water. Arlene wants to make 0.3 more servings than the recipe makes.
    9·1 answer
  • What influences combined to produce Russian culture?
    12·1 answer
  • Clayton uses 3/4 of a bottle of hot sauce for every batch of salsa he makes. Yesterday, he used 2 1/4 bottles of hot sauce. How
    6·1 answer
  • the population of planet is approximately 280,000 in 2006. Plano is growing 7% per year. What is the population inn 2010? YOUR A
    13·1 answer
  • Slide the stick figures to the zeros of the function. Then move their arms to match the behavior of the function.
    5·1 answer
  • Abc co issues a zero coupon bond with 5 years to maturity. investor's required rate of return is 3.25%, what is the price of the
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!