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3 years ago

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Mathematics

1 answer:

Effectus [21]3 years ago

6 0

Answer:

Step-by-step explanation:

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A beverage company works out a demand function for its sale of soda and finds it to be x = D(p) = 3100 - 20p where x = the quant

Shtirlitz [24]

Answer with Step-by-step explanation:

We are given that a demand function

$x=D(p)=3100-20p$

Where x=The quantity of sodas sold

p=Per can price (in cents)

We have to find the price p for which the demand inelastic.

Differentiate the demand function w.r.t p

$D'(P)=-20$

Price elasticity of demand= $E(p)=\frac{-pD'(p)}{D(p)}$

Price elasticity of demand= $E(p)=\frac{-p(-20)}{3100-20p}$

When demand is inelastic then

E(p)<1

$\frac{20p}{3100-20p}$ <1

Multiply by (3100-20p) on both sides

$20p$

Adding 20p on both side of inequality

$40p$

Divide by 40 on both sides

$p$

When the value of price is less than 77.5 then the demand of elasticity is inelastic.

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3 years ago

What is the length of the line segment in the x-y plane with end points at (-2,-2) and (2,3)?

Ber [7]

You've got a formula. If the two endpoints are $A(x_A,y_A)$ and $A(x_B,y_B)$ , then the length is $\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}$ . The result is $\sqrt{16+25}=\sqrt{41}$ .

4 0

4 years ago

4. What can be said about the variable in this inequality Y > 5

Viefleur [7K]

Answer:

4: You know that the unknown number is above 5

5: You know that 5 is higher than the unknown number

Please mark as brainllest i really need this. Have a nice week

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4 0

3 years ago

To the nearest whole degree, what angle measure has a sine of 0.3535? SOMEBODY HELP

Bas_tet [7]

The angle is sin inverse 0.3535 which is around 21 degrees

5 0

3 years ago

Tammy's home cost her S184,000. She lives in an area with a lively real estate market, and her hormincreases in value by 3.5%

Ivenika [448]

Answer:

D. $103800

Step-by-step explanation:

Initial value of house:

$184000

Yearly increase rate of value:

3.5%

Time

13 years

Since the increase is concerning the current price it would be exponential growth.

The function would be:

V(t) = 184000*(1 + 3.5/100)^t, where V is the value after t years

For t= 13 we get:

V(13) = 184000*(1.035)^13 = 287800

Profit made would be:

287800 - 184000 = 103800

Correct option is D.

5 0

3 years ago

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