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3 years ago

When the price of apples is $1.00 each a local farmer sells 500 apples. When the farmer increases

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

3 0

Answer:

20%

10%

0.5

Step-by-step explanation:

Price elasticity of demand measures the responsiveness of quantity demanded to changes in price of the good.

Price elasticity of demand = percentage change in quantity demanded / percentage change in price

Percentage change in price = (1.2/1) - 1 = 20%

Percentage change in quantity demanded = 450/500 - 1 = 10%

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Assume Earth and a cloud layer 770 m above the Earth can be treated as plates of a parallel-plate capacitor.

Travka [436]

Answer:

(a) 1.15×10⁻⁸ F.

(b) 1.5×10⁻⁸ C.

Step-by-step explanation:

(a)

Capacitance of a capacitor: This is the ability for a capacitor to store charge.

The S.I unit of capacitance of a capacitor is Farad (F).

Mathematically, it is represented as

C = ε₀A/d² ................. Equation 1

Where C = Capacitance of the capacitor, ε₀ = permitivity of free space, A = area of the plates, d = distance between the plates.

Given: A = 1×10⁶ m². d = 770 m

Constant: ε₀ = 8.85×10⁻¹² F/m

Substituting these values into equation 1

C = 8.85×10⁻¹²(1×10⁶ )/770

C = 8.85×10⁻⁶/770

C= 0.0115×10⁻⁶

C = 1.15×10⁻⁸ F.

Thus the capacitance of the cloud layer = 1.15×10⁻⁸ F.

(b)

Electric Field Strength: This is the force per unit charge which is exerted at a point in a in a electric field.

It can be represented mathematically as

E = kq/d²........................... Equation 2

Where E = Electric Field Strength, q = charge, d = distance. k = proportionality constant.

Making q the subject of the equation above,

q = Ed²/k ........................... Equation 3.

Given: E = 2×10⁶ N/C, d = 770 m

Constant: k = 1/4πε₀ = 9×10⁹ Nm²/C²

Substituting these values into equation 3

q = 2×10⁶(770)²/(9×10⁹)

q = (2×10⁶)(592900)/(81×10¹⁸)

q = 14639.5×10⁻¹²

q ≈ 1.5×10⁻⁸ C.

Thus the charge the cloud can hold = 1.5×10⁻⁸ C.

3 0

4 years ago

Is anybody else so bored that they come on here and help people.. cause me to lol <br> ( 57-2)

Ronch [10]

Answer:

Yea same

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

39.8 hg = how many grams ?

babymother [125]

Answer:3980

Step-by-step explanation:

We know hg here refers to hectogram and its conversion to gram is given by

1 hectogram is equal to 100 gm

therefore 39.8 hg simply means 3980 gm

Thus 39.8hg=3980 gm

8 0

3 years ago

Which system of inequalities represents region Z?

ANTONII [103]

Answer:

The system of inequalities is

$y\geq 3x-2$

$y$

Step-by-step explanation:

step 1

Find the equation of the solid blue line

Let

$A(0,-2), B(1,1)$

Find the slope of AB

$m=(1+2)/(1-0)=3$

The equation of the line into slope intercept form is equal to

$y=mx+b$

we have

$m=3$

$b=-2$ ----> the point A is the y-intercept

substitute

$y=3x-2$ -----> equation of the solid blue line

The solution of the inequality is the shaded area above the solid line

therefore

The first inequality is

$y\geq 3x-2$

step 2

Find the equation of the dashed red line

Let

$C(0,2), D(5,1)$

Find the slope of CD

$m=(1-2)/(5-0)=-1/5$

The equation of the line into slope intercept form is equal to

$y=mx+b$

we have

$m=-1/5$

$b=2$ ----> the point C is the y-intercept

substitute

$y=-(1/5)x+2$ -----> equation of the dashed red line

The solution of the inequality is the shaded area below the dashed line

therefore

The second inequality is

$y$

The system of inequalities is

$y\geq 3x-2$

$y$

8 0

3 years ago

Find the value of x. Round your answer to the nearest tenth.

laila [671]

Answer:

Step-by-step explanation:

By the Pythagorean Theorem

27^2=16^2+x^2

x^2=27^2-16^2

x^2=473

x=21.7 ( to nearest tenth)

8 0

3 years ago