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kotykmax [81]
3 years ago
5

Application: Economics. A vector ~p = h150, 225, 375i represents the price in dollars of certain models of bicycles sold by a bi

cycle shop at costs given by the vector ~c = h125, 200, 360i. (a) What is the vector ~r representing the revenue made from selling these bikes? (b) Suppose the shop owner offers a store-wide discount of 10% on the price of the bicycles. How much revenue does he make if he sells 10 o
Physics
1 answer:
DerKrebs [107]3 years ago
6 0

Answer:

a. r=25,25, 15

b. Total revenue =225,225, 135

Explanation:

Application: Economics. A vector ~p = 150, 225, 375

represents the price in dollars of certain models of bicycles sold by a bicycle shop at costs given by the vector ~c = 125, 200, 360.

(a) What is the vector ~r representing the revenue made from selling these bikes? (b) Suppose the shop owner offers a store-wide discount of 10% on the price of the bicycles. How much revenue does he make if he sells 10 o

Lets's simplify the values step by step

A vector p = 150, 225, 375 is the price

vector c = 125, 200, 360.  represent the cost of the bicycle

therefore

vector r=the revenue from selling the bicycle will be

p-c:    

150, 225, 375-(125, 200, 360)

r=(25,25, 15)

b.

if there is a discount of 10% for 10 bicycles, i presume

then the total revenue will be

revenue /one bicycle*10% discount*10 bicycles

to get the

r=(100%(25,25, 15)-10%(25,25, 15))*10

if there is a 10% slash in the price, it means that the item will now be 90% of its price

r=225,225,135

Total revenue =225,225, 135

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Jeremiah is conducting an investigation about the water cycle. He is given the following
Vlada [557]

The water cycle outlines the continuous water movement in liquid, solid and gaseous state between locations on the Earth's surface.

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Arrangement description and Processes;

The processes of the water cycle includes;

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  • Precipitation
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The arrangement of the materials is as follows;

  • Place the glass jar (the lake) containing water and the lamp (the Sun) side by side, such that the lamp light shines on the water surface

  • Cover the glass jar by wrapping the plastic wrap (the sky) around it to prevent the escape of water vapor when the water is hot.

  • Switch on the lamp so that it heats the water by radiation heat transfer

Observed processes;

The processes demonstrated by the above experiment includes;

1) Evaporation: As the water in the glass jar becomes warmer, the level of the water in the jar can be observed to decrease slightly due to evaporation

2) Condensation: Fog formation, Clouds

When hotter, the water surface as seen through the clear plastic wrap becomes less clearer due to evaporation, and condensation of the vapor while floating above the water surface, similar to the clouds seen in the sky.

3. Precipitation: Rain;

The clear plastic wrap covering the top of the glass jar, prevents the movement of the vapor further away, such that the tiny condensed vapor gather together, to form big droplets under the plastic wrap that falls back into the jar, which is similar to the process of rainfall

The above processes are repeated as more water evaporates from the jar condenses on the plastic wrap and falls back into the jar, showing the process by which water is recycled from the lake into the atmosphere and back to the lake.

Learn more here:

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4 0
2 years ago
A penny has a mass of 2.50 g, a diameter of 19.55 mm, and a thickness of 1.55 mm. Calculate the density of the material from whi
Dmitry [639]
Density = (mass) divided by (volume)

We know the mass (2.5 g).  We need to find the volume.

The penny is a very short cylinder.
The volume of a cylinder is (π · radius² · height).
The penny's radius is 1/2 of its diameter = 9.775 mm.
The 'height' of the cylinder is the penny's thickness = 1.55 mm.

Volume  =  (π) (9.775 mm)² (1.55 mm)

             =  (π) (95.55 mm²) (1.55 mm)

             =  (π) (148.1 mm³)

             =        465.3 mm³

We know the volume now.  So we could state the density of the penny,
but nobody will understand what we have.  Here it is:

         mass/volume = 2.5 g / 465.3 mm³  =  0.0054 g/mm³  .

Nobody every talks about density in units of ' gram/(millimeter)³ ' .
It's always ' gram / (centimeter)³ '.
So we have to convert our number for the volume.

                         (0.0054  g/mm³)  x  (10 mm / cm)³

                 =      (0.0054 x 1,000)  g/cm³

                 =          5.37  g/cm³  .

This isn't actually very close to what the US mint says for the density
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4 0
3 years ago
The aeroplane lands at a speed of 80 m/s
strojnjashka [21]

The mass of the aeroplane is 300,000 kg.

<h3>What is Newton's second law of motion?</h3>

It states that the force F is directly proportional to the acceleration a of the body and its mass.

The law is represented as

F =ma

where acceleration a = velocity change v / time interval t

Given is the aeroplane lands at a speed of 80 m/s. After landing, the aeroplane takes 28 s to decelerate to a speed of 10 m/s. The mean resultant force on the aeroplane as it decelerates is 750 000 N.

The force expression will be

F = mv/t

Substitute the values and we have

750000 = m x  (80 -10)/ 28

750,000 = m x 2.5

m = 300,000 kg

Thus, the mass of the aeroplane is 300,000 kg.

Learn more about Newton's second law of motion.

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8 0
2 years ago
A +71 nC charge is positioned 1.9 m from a +42 nC charge. What is the magnitude of the electric field at the midpoint of these c
viva [34]

Answer:

The net Electric field at the mid point is 289.19 N/C

Given:

Q = + 71 nC = 71\times 10^{- 9} C

Q' = + 42 nC = 42\times 10^{- 9} C

Separation distance, d = 1.9 m

Solution:

To find the magnitude of electric field at the mid point,

Electric field at the mid-point due to charge Q is given by:

\vec{E} = \frac{Q}{4\pi\epsilon_{o}(\frac{d}{2})^{2}}

\vec{E} = \frac{71\times 10^{- 9}}{4\pi\8.85\times 10^{- 12}(\frac{1.9}{2})^{2}}

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Now,

Electric field at the mid-point due to charge Q' is given by:

\vec{E'} = \frac{Q'}{4\pi\epsilon_{o}(\frac{d}{2})^{2}}

\vec{E'} = \frac{42\times 10^{- 9}}{4\pi\8.85\times 10^{- 12}(\frac{1.9}{2})^{2}}

\vec{E'} = 418.84 N/C

Now,

The net Electric field is given by:

\vec{E_{net}} = \vec{E} - \vec{E'}

\vec{E_{net}} = 708.03 - 418.84 = 289.19 N/C

5 0
3 years ago
Name the proces by which heat flows in solids​
Solnce55 [7]

Answer:

conduction

Explanation:

conduction is the movement of heat from one point to another on a metal.

Hope it helps.

6 0
3 years ago
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