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mariarad [96]
1 year ago
6

use the function notation to represent the area of a circle whose circumference is 133 cm.use the function notation to represent

the circumference of a circle whose area is 5.3 cm²

Mathematics
1 answer:
jeka941 year ago
3 0

The area of a circle with radius r is represented by the function h(r ); therefore using the function notation, the area of a circle whose radius is 133 cm is represented by

h(g(133))

(b).

The function that gives the radius as a function of area is

j(A)

and the function that gives the circumference as a function of radius is

f(r)

therefore, the function that gives

f(j(A))

When A = 5.4cm^2 we have

f(j(5.4))

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Find the marginal and average revenue functions associated with the demand function P= -0.3Q + 221
LekaFEV [45]

Answer:

Marginal revenue = R'(Q) = -0.6 Q + 221

Average revenue = -0.3 Q + 221

Step-by-step explanation:

As per the question,

Functions associated with the demand function P= -0.3 Q + 221, where Q is the demand.

Now,

As we know that the,

Marginal revenue is the derivative of the revenue function, R(x), which is equals the number of items sold,

Therefore,

R(Q) = Q × ( -0.3Q + 221) = -0.3 Q² + 221 Q

∴ Marginal revenue = R'(Q) = -0.6 Q + 221

Now,

Average revenue (AR) is defined as the ratio of the total revenue by the number of units sold that is revenue per unit of output sold.

Average\ revenue\ = \frac{Total\ revenue}{number\ of\ units\ sold}

Where Total Revenue (TR) equals quantity of output multiplied by price per unit.

TR = Price (P) × Total output (Q) = (-0.3Q + 221) × Q = -0.3 Q² + 221 Q

Average\ revenue\ = \frac{TR}{Q}

Average\ revenue\ = \frac{-0.3Q^{2}+221Q}{Q}

∴ Average revenue = -0.3Q + 221

5 0
3 years ago
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umka2103 [35]

Answer:

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For the second case, the percentage would be

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= $42,000 ÷ $120,000

= 35%

The percentage for both the cases would be 100% and 35% respectively

6 0
3 years ago
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