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3 years ago

About 7 of 10 U.S. households have TV remote controls. There were

1 answer:

6 0

<span>Total households = 127,900,000 Proportion of households having remote control and not 7 : 3 7x + 3x = 127,900,000 10x = 127,900,000 x = 12,790,000 Households having remote control = 7x = 7 X 12,790,000 = 89,530,000 Answer: 89,530,000 households have TV remote controls.</span>

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Brainly the polynomial x 3 + 5x 2 - 57x - 4189 expresses the volume, in cubic inches, of a shipping box, and the width is (x+3

Simora [160]

Height would be 21 inches, depth would be 5.

8 0

2 years ago

A bakery works out a demand function for its chocolate chip cookies and finds it to be q = D (x) = 943 - 17 x, where q is the q

Alex73 [517]

Answer:

See expla below

Step-by-step explanation:

Given the demand function:

q = D (x) = 943 - 17 x

a) Find the elasticity:

Find the derivative of the demand function.

D'(x)= -17

Thus, elasticity expression is:

$\frac{x D'(x)}{D'(x)}$

$= \frac{x (-17)}{943 - 17x}$

$= \frac{17x}{943 - 17x}$

Elasticity expression = $E(x) = \frac{17x}{943 - 17x}$

b) At what price is the elasticity of demand equal to 1?

This means E(x) = 1

Substitute 1 for E(x) in the elasticity equation:

$E(x) = \frac{17x}{943 - 17x}$

$1 = \frac{17x}{943 - 17x}$

Cross multiply:

$943 - 17x = 17x$

Collect like terms

$17x + 17x = 943$

$34x = 943$

$x = \frac{943}{34}$

x = 27.74

Elasticity at the price of demand = 1 is 27.74

c) At what prices is the elasticity of demand elastic?

This means E(x) > 1

Therefore,

$\frac{17x}{943 - 17x} > 1$

Cross multiply:

$17x > 943 - 17x$

Collect like terms

$17x + 17x > 943$

$34x > 943$

$x > \frac{943}{34}$

x > 27.74

The elasticity of demand is elastic at x > 27.74

d) At what prices is the elasticity of demand inelastic?

This means E(x) < 1

Therefore,

$\frac{17x}{943 - 17x} < 1$

Cross multiply:

$17x < 943 - 17x$

Collect like terms

$17x + 17x < 943$

$34x < 943$

$x < \frac{943}{34}$

x < 27.74

The elasticity of demand is inelastic at x < 27.74

e) At what price is the revenue a maximum:

Total revenue will be:

R(x) = x D(x)

= x (943 - 17x)

= 943x - 17x²

R(x) = 934 - 17x(price that maximizes total revenue)

Take R(x) = 0

Thus,

0 = 943 - 17x

17x = 943x

$x = \frac{943}{17}$

$x = 27.74$

Total revenue is maximun at x= 27.74 per cookie

f) At x = 21 per cookie, find the price:

Thus,

R (21) = (943 * 21) - (17 * 21²)

= 19803 - 7497

= 12306

At x = 27.74, find the price:

R(27.74) = (943 * 27.74) - (17 - 27.74²)

= 26158.82 - 13081.63

= 13077.19

We can see the new price of cookie causes the total revenue to decrease.

Therefore, with a small increase in price the total revenue will decrease.

5 0

3 years ago

Please help me with Q 7 c

frez [133]

Answer:

11.25 km h^-2

Step-by-step explanation:

Acceleration = increase in velocity / time

= 90 - 0 / 8

= 11.25 km h^-2.

8 0

2 years ago

Read 2 more answers

Help ASAP this is hard to solve

VLD [36.1K]

Answer:

For the first one it is BEA and the second one is CED

I hope this help I would also appreciate brainliest please :)

8 0

2 years ago

in 2016 the members of a club paid a total of 42 in subscription fees.In 2017,the number of members were increased by 20 and the

lianna [129]

Answer:

70 members in 2016

Step-by-step explanation:

In 2016

Let the number of members= x

They all paid y amount

Total fees= 42

Xy= 42...... equation 1

In 2017

Members= x+20

They paid y-0.1

Total fees = 45

(X+20)(y-0.1)= 45…equation 2

Xy -0.1x +20y -2= 45

Using values from equation 1

42-0.1(42/y) +20y -2= 45

-4.2/y+20y-5= 0

20y² -4.2 -5y = 0

100y² -25y -21= 0

Solving quadratically

Y= 0.6 or -0.35

We are dealing with price so y Is

definitely a positive number

Y= 0.6

If y= 0.6

Solving for x

Xy= 42

X= 42/0.6

X=70

There were exactly 70 members in 2016

3 0

3 years ago