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Vladimir [108]
3 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]3 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 \

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Narasimha, Madhu and Pavan started a business by investing Rs. 120,000, Rs. 135,000 and Rs. 150,000 respectively. Find the share
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Answer:

1.

= Here,

Narasimha invest = 120,000

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6 0
3 years ago
What is the volume of the prism that can be constructed from this net?
Alecsey [184]
That would make a rectangular prism with measurements of:

Length = 9
Width = 4
Height = 10

V = lwh

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V = 360
7 0
3 years ago
Read 2 more answers
segment BC is an are of a circle with radius 30.0 cm, and point P is at the center of curvature of the arc Segment DA is an arc
Elan Coil [88]

Answer:

The magnetic field is B = 3.87 *10^{-6} \ T

Direction is inward

 

Step-by-step explanation:

The diagram for this question is shown on the first uploaded image  

From the question we are told that

      The radius of  BC is  r_{BC} =  30 \ cm  =  0.30 \ m

      The radius of  DA is r _{DA} =  20 \ cm =  0.20 \ m

      The length of CD is  r_{CD} =  10 cm =  0.1 \ m

      The length of AB is  r_{AB} =  10 cm =  0.1 \ m

      The current is  I  =  11.4A

The magnetic field is mathematically represented as

      B =  B_{BC} +  B_{DA} + B_{CD} + B_{AB}

       B =  \frac{\mu_o I}{4 \pi } [ \frac{\theta_{DA}}{r_{DA}} + \frac{\theta_{BC}}{r_{BC}}+ \frac{\theta_{CD}}{r_{CD}}+\frac{\theta_{AB}}{r_{AB}}]

        Where

                 \theta_{BC} = \theta_{DA} =  \frac{2\pi}{3}

Where  \frac{2 \pi}{3}  =  120^o

                \theta_{CD} = \theta_{AB}  =  0^o

so

        B =  \frac{\mu_o I}{4 \pi } [ \frac{\frac{2\pi}{3} }{0.20} - \frac{\frac{2\pi}{3}}{0.30}}+ \frac{0}{0.10}+\frac{0}{0.10}]

         B = 3.87 *10^{-6} \ T

The direction is into the page

    This because the magnitude of the magnetic field due to arc BC whose direction is outward is less than that of DA whose direction is inward

This is because according to Fleming's Left Hand Rule  the direction of current is perpendicular to the direction of magnetic field so since  current in arc BC and DA are moving in opposite direction their magnetic field will also be moving in opposite direction

3 0
3 years ago
The following data table represents the total cost of a monthly cell phone bill as a function of the number of minutes that the
Alisiya [41]
Answer:
The total monthly cost would be $214

explanation:
They gave us 1,250, which is half of 2,500. multiplication:
1,250 = 2,500
107 = x
2 × 1,250 = 2,500
2 × 107 = 214
Therefore, the total monthly cost if the cell phone is used for 2,500 minutes is $214.
4 0
3 years ago
The graph of quadratic parent function fwas transformed to create the graph of
Margarita [4]
H is the correct answer. Y= (x+2)^2-5
2 to the left x+2=0 x=-2
5 dpwn
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3 years ago
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