Compact fluorescent bulbs are much more efficient at producing light than are ordinary incandescent bulbs. They initially cost much more, but last far longer and use much less electricity. According to one study of these bulbs, a compact bulb that produces as much light as a 100 W incandescent bulb uses only 23.0 W of power. The compact bulb lasts 10000 hours, on the average, and costs $ 12.00, whereas the incandescent bulb costs only $ 0.76, but lasts just 750 hours. The study assumed that electricity cost $ 0.090 per kilowatt-hour and that the bulbs were on for 4.0 h per day.

Required:
a. What is the total cost (including the price of the bulbs) to run each bulb for 3.0 years?
b. How much do you save over 3.0 years if you use a compact fluorescent bulb instead of an incandescent bulb?
c. What is the resistance of a "100-W" fluorescent bulb?

Answers

Answer 1

Answer:

a

[tex]The  \ price \  for \   Compact\ fluorescent\ bulbs \ is  \ C_T  = \$ 21.067\\The   \ price \  for \    incandescent\ bulb \ is \ C_t  = \$ 43.98[/tex]

b

[tex]The \  amount  \  saved \ is  \ C_S =  \$ 22.913[/tex]

c

[tex]The \ resistance \  is \ R =  626.1 \Omega[/tex]

Explanation:

From the question we are told that

   The power used by incandescent bulb [tex]P_r  =  23.0 W[/tex]

    The power used by  Compact fluorescent bulb [tex]P_p  =  100W[/tex]

     The life span of  Compact fluorescent bulb is  [tex]t = 1000 \  hours[/tex]

    The  prices of   Compact fluorescent bulb is [tex]C_c = \$ 12 [/tex]

    The  prices of incandescent bulb is [tex]C_i = \$ 0.76 [/tex]

     The life span of   incandescent bulb is  [tex]t_k = 750   \ hours[/tex]

      The cost of electricity is [tex]C_e =  \$ 0.090/ kilowatt-hour = \frac{0.090}{1000} = \$0.00009 / W / h[/tex]

    The duration of daily bulb usage is [tex]t_d  =  4 \  hours[/tex]

     

Generally 3 years of bulb usage  in hours is mathematically evaluated as

    [tex]t_3 =  3 *  365 *  t_d[/tex]

=>   [tex]t_3 =  3 *  365 *  4[/tex]

=>   [tex]t_3 =  4380 \ h [/tex]

Generally the cost to power a 23W bulb for the above duration  is mathematically represented as

 [tex]Z = 23 *  t_3 * C_e[/tex]

=>   [tex]Z = 23 *  4380 * 0.00009[/tex]

=>   [tex]Z = \$ 9.0667[/tex]

The number of Compact fluorescent bulbs required to  achieve this about of time is mathematically represented as

       [tex]N  =  \frac{t_3}{ t}[/tex]

=>  [tex]N  =  \frac{4380}{1000}[/tex]

=>   [tex]N  = 0.438 [/tex]

=>  [tex]N  \approx  1 [/tex]

The total cost of  usage  for the Compact fluorescent bulb   is  mathematically represented as

      [tex]C_T  =  Z +C_c[/tex]

=>   [tex]C_T  =  9.0667 +12[/tex]

=>   [tex]C_T  = \$ 21.067 [/tex]    

The number of  incandescent bulbs required to  achieve this about of time is mathematically represented as

       [tex]M =  \frac{t_3}{ t_k}[/tex]

=>  [tex]M  =  \frac{4380}{750}[/tex]

=>   [tex]M  = 6 [/tex]

Generally the cost to power a 100W bulb for the above duration  is mathematically represented as

 [tex]Z = 100 *  t_3 * C_e[/tex]

=>   [tex]Z = 100 *  4380 * 0.00009[/tex]

=>   [tex]Z = \$ 39.42[/tex]

The total cost of  usage  for the incandescent bulbs    is  mathematically represented as

      [tex]C_t  =  C_e + [6 *C_i][/tex]

=>   [tex]C_t  =  39.42 + [0.76 *  6][/tex]

=>   [tex]C_t  = \$ 43.98[/tex]    

Generally the total amount saved is mathematically represented as

   [tex]C_S =  C_t - C_T[/tex]

=>   [tex]C_S =  43.98 - 21.067[/tex]

=>   [tex]C_S =  \$ 22.913[/tex]

Generally the resistance of the Compact fluorescent bulb is  

    [tex]R =  \frac{V^2}{P}[/tex]

    [tex]R  =  \frac{120^2}{23}[/tex]

[tex]R =  626.1 \Omega[/tex]


Related Questions

When an atom gains or loses electrons, it has an electrical charge. It is known as

Answers

Answer:

ion

Explanation:

Atoms can gain or lose making them no longer neutral they become charged and it is called ion.

A power cycle operating between hot and cold reservoirs at 500 K and 300 K, respectively, receives 1000 kJ by heat transfer from the hot reservoir. The magnitude of the energy discharged by heat transfer to the cold reservoir must satisfy

Answers

Answer:

The value is [tex]Q_l \ge 600\ k J[/tex]

Explanation:

From the question we are told that  

   The temperature of  hot is  [tex]T_h = 500 \ K[/tex]

   The temperature of cold is  [tex]T_c = 300 \ K[/tex]

   The energy received is  [tex]E = 1000 \ kJ = 1000 *10^{3 } \ J[/tex]

Generally the maximum thermal  efficiency of the engine is mathematically represented as

     [tex]\eta = \frac{T_h - T_c}{T_h}[/tex]

=> [tex]\eta = \frac{500 - 300}{500}[/tex]

=> [tex]\eta = 0.4[/tex]

Generally the thermal  efficiency of the engine is  

   [tex]\eta_t = \frac{Q - Q_l}{Q}[/tex]

Here  [tex]Q_l[/tex] is the heat energy rejected

Generally the thermal efficiency must be less than or equal to the maximum thermal  efficiency

So

       [tex]\frac{Q - Q_l}{Q} \le 0.4[/tex]

=>    [tex]\frac{1000 *10^{3} - Q_l}{1000 *10^{3} } \le 0.4[/tex]

the change in inequality sign is because [tex]1000*10^{3}[/tex]  which was dividing started multiplying

=>    [tex]Q_l \ge 1000*10^{3} - 400*10^{-3}[/tex]

=>  [tex]Q_l \ge 600*10^{3} \ J[/tex]

=>  [tex]Q_l \ge 600\ k J[/tex]

The student toses a ball into the air and then watches the ball fall back down to earth. When does the ball have the most potential energy

Answers

Answer:

when the ball is at its highest in the air.

Explanation:

I don't know for sure, but when the ball is in the air it has potential energy to fall(or something like that).

Which atmospheric layer gets warmer as altitude increases and contains the ozone layer?

Answers

Answer:

stratosphere

Explanation:

In the stratosphere, temperature increases with altitude. The stratosphere contains the ozone layer, which protects the planet from the Sun's harmful UV radiation.

Stratosphere is the atmospheric layer which gets warmer as the altitude increases and contains the ozone layer.

What is Stratosphere?

The stratosphere is a layer of the Earth's atmosphere. It is the second layer of the atmosphere as we go upward into the atmosphere height. The troposphere is the lowest layer of the globe, which is present right below the stratosphere. The next higher layer of the atmosphere above the stratosphere is the mesosphere.

In the stratosphere layer, the temperature increases with the increase in the altitude range. The stratosphere layer contains the ozone layer, which works in the protection of the planet from the Sun's harmful ultraviolet radiations which could lead to cancer.

Learn more about Stratosphere here:

https://brainly.com/question/13497783

#SPJ6

What causes tides to occur in the ocean?

Waves
Wind
Gravitational pull
Coriolis effect

Answers

Answer:

Gravitational pull

Explanation:

The moon pulls the tides

Answer: gravitational pull

Tides are caused by a gravitational pull from the Moon. Ocean/bay tides rise because of this pull for the gravity under the water. This can happen every day up to 6 times.

Which statement describes earthquakes?
They release energy
They are caused by reduced stress in rocks
They begin at the epicenter
The result for movement on earth’s surface

Answers

Answer:

they release energy  

Explanation:

An earthquake is the abrupt release of energy from the earth's crust that causes the earth's surface to shake . Thus , seismic waves are produced. The kind and severity of an earthquake are based on the local seismic activity . therefore the correct answer is option A.

What is the equator?

The Equator is an imaginary line passing through the middle of a globe. It is equidistant from the North Pole and the South Pole, Its is a horizontal line residing at 0 degrees latitude .

An earthquake is the abrupt release of energy from the earth's crust that causes the earth's surface to shake . Thus, seismic waves are produced. The kind and severity of an earthquake are based on the local seismic activity .

Thus, the correct answer is option A .  

To learn more about the equator here , refer to the link given below ;

brainly.com/question/24203207

#SPJ6

An airplane is flying at a velocity of 79 m/s eastward relative to the air. Due to a high-pressure region to the north, the velocity of the air relative to the ground is 18 m/s southward. Find the ground speed of the airplane.

Answers

So we are working out it’s final velocity. To do this you need to rearrange and substitute :
Velocity = final velocity (v) - initial vel. (U)
Divided by ______________________
Time taken (t)

Not sure if this helped but I try to start it off

A car start from rest accelerate uniformly at rate of 2 m/sec2. Its velocity after 5 seconds will be:

Answers

Answer:

nononononononononononononnn

Explanation:

Answer:

Read below to understand

Explanation:

acceleration = change in velocity / change in time

(a = v/t)

You have acceleration and time given so you need to rearrange the equation to solve for velocity

V = a * t

V = 2 * 5

Velocity is 10 m/s

Which could describe the properties of sedimentary rock?
PLASE HELP
DUE TODAY

Answers

Answer:

☝ Some of the properties of sedimentary rocks

The path of a projectile fired at an angle above the horizontal is best described as

Answers

I agree it only makes sense

QUESTION
The strongest Stars used to be called
what?

Answers

Answer:

Absolute magnitude

Explanation:

The brightness a star would have if it were at 10 pc from Earth is called Absolute magnitude.

The Plateau of Tibet is a dry place. Do you think the wide-leafed plant fossils found on the plateau could grow there today? Explain your answer.

Answers

No, I dont think that they could grow there now in this day and age becuase the Plateu of Tbiet is very dry and also a little bit dusty. They barely even have grass down there. Wide leaf plants susually grow somewhee like the rainforest where it is warm, sunny, and rainy but in a place like Tibet, I don't think that they would be able to survive there.

Answer:

No. The leaves are similar to those of plants found in lower elevations with plenty of rainfall, like the plants seen at the lower elevations of the Himalayas. Because the Plateau of Tibet has risen over time, it is not likely that these plants could live in these colder climates.

Explanation:

Sample answer from pluto

2. An athlete runs up the stairs of a tall building in 10 s. If she has a mass of 55 KG and the total vertical distance she covers is 8.2 m, what is the average power (in W)developed by her legs?

Answers

Answer:

P = 37.0 W (watts)

Explanation:

Using the formula for power :

P = ( kg × m^2/s^2 ) W

given the mass 55kg, the time 10s, and the displacement 8.2m.

55 kg × 8.2^2 / 10^2

55kg × 67.24 / 100

3698.2/100

P = 36.982 ≈ 37.0 W (nearest tenth)

The Newton unit obtained from

A)Kg.m/s2
B) Kg. m
C) kg/m
D) kg ml​

Answers

Answer:

Explanation:

The Newtons unit is kg. m/s2

Option A is the correct answer

A stone is thrown vertically upward with the velocity of 25 m/s. How long day
it take to reach the maximum height? Also calculate the height​

Answers

Answer:

The stone takes 2.55 sec to reach a maximum height of 31.89 m

Explanation:

Vertical Motion

When an object is thrown vertically up with a speed vo, it loses speed because of the effect of the gravity and gains height until the speed is eventually zero. The height attained at that time is called maximum height, and can be calculated as follows:

[tex]\displaystyle h_m=\frac{v_o^2}{2g}[/tex]

Since vo=25 m/s

[tex]\displaystyle h_m=\frac{25^2}{2\cdot 9.8}=31.89\ m[/tex]

Also, the time taken to reach the maximum height is calculated by:

[tex]\displaystyle t_m=\frac{v_o}{g}[/tex]

[tex]\displaystyle t_m=\frac{25}{9.8}=2.55\ s[/tex]

The stone takes 2.55 sec to reach a maximum height of 31.89 m

Does time of flight depend on initial speed?

Answers

I guess yeah sorry couldn’t help much


What President is responsible for eliminating most vending machines from the cafeterias of public schools ?

Answers

Answer:president obama

Explanation:Why this is because he took a of mayor Bloomebergs amti obeity  book and made new rules  for snack foods.

e. A driver speeds up his vehicle while moving up a hill.
Why?​

Answers

Answer:

For more acceleration

Explanation:

If he is speeding u a hill his car needs more power ecsue its going upward so he will have to speeed to gain more acceleration so his car doesnt fall

According to the kinetic theory, what happens when the temperature of water
increases?
The water molecules increase their speed.
The water molecules do not change speed.
The water molecules decrease their speed.

Answers

the molecules will increase their speed
The water molecules increase their speed. Think about a pot of boiling water as it gets hotter the molecules bounce off of each other more rapidly.

Tell which is the answer
help please

Answers

Answer: a constant? im not sure that just sounds like itd be right.

Explanation:

Answer:

b

Explanation:

because he isn't moving

Homogeneous materials look the same throughout even though they contain
different materials.
A. True
B. False
SUBMIT

Answers

Answer:

true ig..

Explanation:

Suppose that a Ferrari and a Porsche begin a race with a moving start, and each moves with constant speed. One lap of the track is 2 km. The Ferrari laps the Porsche after the Porsche has completed 9 laps. If the speed of the Ferrari had been 10 km/h less, the Porsche would have traveled 18 laps before being overtaken. What were the speeds of the two cars?

Answers

Answer:

Porsche = 180 kmph

Ferrari = 200 kmph

Explanation:

Given that

The distance of one lap = 2 km

The distance the Ferrari laps the Porsche = 9 laps

The distance the Ferrari will lap the Porsche with 10 km/h less speed = 18 laps

So we say let,

the speed of the Ferrari = S(f),

the speed of the Porsche = S(p), and

the time that lapse before two cars lapped = t

From the question, we're told that

(S(f) * t1) - (S(p) * t1) = 2 km, also

S(p) * t1 = 9 * 2 = 18 km

Referring back to the initial equation

(S(f) * t1) = 2 + (S(p) * t1)

(S(f) * t1) = 2 + 18 = 20 km

Going back to the question again, we're told that

(S(f) - 10) * t₂ - S(p) * t₂ = 2 km

S(p) * t₂ = 18 * 2 = 36 km

So that,

(S(f) - 10) * t₂ = 2 km + S(p) * t₂

(S(f) - 10) * t₂ = 2 + 36 km = 38 km

(S(f) - 10) * t₂ = 38 km

S(p) * t₂ (36 km) = 2 * S(p) * t₁ (18 km),

S(p) * t₂ = 2 * S(p) * t₁, collect like terms

t₂ = 2t₁

(S(f) - 10) * 2t₁ - S(p) * 2t₁ = 2 km

(S(f) - 10) * 2t₁ = 38 km

(S(f) - 10) * 2t₁ = 38 km

2t₁ * S(f) - 2t₁ * 10 = 38 km

S(f) * t₁ = 20 km,

2 * 20 km - 2t₁ * 10 = 38 km

2t₁ * 10 = 2 * 20 km - 38 km

2t₁ * 10 = 2 km

20t₁ = 2 km

t₁ = 2/20 = 0.1 hour = 6 minutes

This means that

S(p) * t₁ = 18 km

S(p) * 0.1 h = 18 km

S(p) = 18 km/0.1 h = 180 km/h

The speed of the Porsche = S = 180 km/h

S(f) * t₁ = 20 km

S(f) × 0.1 h = 20 km

S(f) = 20 km/0.1 h = 200 km/h

The speed of the Ferrari = S = 200 km/h

2. True or false?
Forensic entomology uses the study of insects to help criminal investigations.

Answers

I’m pretty sure it’s true lol
True
Look up the definition, it tells you.

After a wave passes through a medium, particles in the medium
are permanently displaced in a direction opposite to the direction of the wave
remain in the new location
are moved along with the wave
return to the original position

Answers

Answer:

D. Return to the original position

Explanation:

I took the test

Which best describes a difference between laser light and regular light?
Laser light is less concentrated.
Laser light has a beam that spreads out.
O Laser light is made of one specific color.
O Laser light pumps out light particles one at a time.

Answers

Answer: the correct answer should be B

Explanation:

The statement that, best describes a difference between laser light and regular light is laser light is made of one specific color.

What is laser light?

A laser light is a light produced by a laser

Laser itself,  is a device that emits light through a process of optical amplification based on the stimulated emission of electromagnetic radiation.

Difference between laser light and regular lightRegular light is non-directional and inconsistent, while laser light shows directional and highly consistent distribution.Regular light is a mixture of electromagnetic waves of different wavelengths while Laser light is monochrome (one colour).

Thus, the statement that, best describes a difference between laser light and regular light is laser light is made of one specific color.

Learn more about laser light here: https://brainly.com/question/15594955

#SPJ2

An airplane flying at 119 m/s is accelerated uniformly at the rate of 0.5 m/s2 for 10
seconds. What is its final speed?

Answers

Answer:

124m/s

Explanation:

v=u+at

v=119+(0.5×10)

v=119+5

v=124m/s

What statements accurately describe sunspots? Check all that apply.
Sunspots are storms on the Sun's surface.
Sunspots are marked by intense magnetic activity.
Sunspots produce solar flares and hot gassy ejections.
Sunspots can affect Earth's climate.
Sunspots are cool areas where the Sun is covered by clouds.

Answers

Answer:

sunspots are storms on the Suns surface

Sunspots are marked by intense magnetic activity

Sunspots produce solar flares and hot gassy ejections.

Sunspots can affect Earth’s climate.

Explanation:

I just did this lesson

The statement that describe sunspot is Sunspots are storms on the Sun's surface.

What are sunspot?

Sunspot are region of the earth that are more darker than other surfaces. They have temporary spots that are darker because the temperature of that area is cooler than other surfaces. They have a reduced temperature.

Therefore, The statement that describe sunspot is Sunspots are storms on the Sun's surface.

Learn more about sunspot below.

https://brainly.com/question/8102155

#SPJ2

What is the frequency (n, in Hz) of the photons emitted by a He-Ne laser with a wavelength (l) of 632.8 nm

Answers

Answer:

4.741 × 10¹⁴ Hz

Explanation:

Step 1: Given data

Wavelength of the He-Ne laser (l): 632.8 nmFrequency of the He-Ne laser (n): ?Speed of light (c): 3.000 × 10⁸ m/s

Step 2: Convert "l" to meters

We will use the conversion factor 1 m = 10⁹ nm.

632.8 nm × (1 m / 10⁹ nm) = 6.328 × 10⁻⁷ m

Step 3: Calculate the frequency of the He-Ne laser

We will use the following expression.

c = l × n

n = c / l

n = (3.000 × 10⁸ m/s) / (6.328 × 10⁻⁷ m)

n = 4.741 × 10¹⁴ s⁻¹ = 4.741 × 10¹⁴ Hz

Your car is initially at rest when your hit that gas and the car begins to accelerate at a rate of 2.857 m/s/s. The acceleration lasts for 15.5 s. What is the final speed of the car and how much ground does it cover during this acceleration?

Answers

Answer:

Vf = 44.56 [m/s]

Explanation:

In order to solve this problem we must use the following expression of kinematics.

[tex]v_{f} = v_{i}+(a*t)[/tex]

where:

Vf = final velocity [m/s]

Vi = initial velocity = 0

a = acceleration = 2.857 [m/s^2]

t = time = 15.5 [s]

Note: the initial velocity is equal to zero as the car begins its movement from rest, or with an initial velocity equal to zero.

Vf = 0 + (2.875*15.5)

Vf = 44.56 [m/s]

What is a factor in an experiment that can be changed or it can be kept the same?

Answers

Answer:  If you are performing an experiment on the effect of spraying plants with different chemicals, you would try to maintain the same pressure and maybe the same volume when spraying your plants. The independent variable is the one factor that you are changing. It is one factor because usually in an experiment you try to change one thing at a time.

Explanation:

Other Questions
Which kind of line ( solid or dashed) is used for < or > ?I think it has to do with inequalities but not sureQUESTION #2 unless you know how to a different one Find the interest for the given dates to the nearest cent. 6,150 dollars at 9% for 12/5 to 12/30 Please help! :) Which best describes the solution set of the compound inequality below? BET U CANT ANSWER DIS :))Leah has a hard time remembering the members of her favorite band. She realizes that if she uses the first letter of each of their first and last names, she can create one word out of those letters. What memory tool is Leah using? acronyms creative sentences narrative chains power pegs Multiply: (3x + 2)(4x + 2)07x2 + 12 x+412 x2 + 14 x+433+4x+ 212 x2 + 18 x+2 HELP PLEASE AND HURRRRRYHow far a projectile moved horizontally from its starting point is its...A. trajectory B. ElipseC. RangeD. Projectile What is a current?lolz its making me write more bc my answers too short so uhhh any of yall in love w draco malfoy too?? a desert location with plentiful drinking water is called a oasisa caravan a avalanche a dune How are P and S waves created? where did americans in 1770s believe power would come from? Given f(x) = 3x - 4, find f(5). Write your answer as a number. Is anyone a disgrace to their parents what is 2+2x 100000000000 +5 /10 Select the one prepositional phrase.In this introductory harmonica class, you will learn useful breathing techniques.Previous experience is not required. For ixl The graph of a linear function is given below.What is the zero of the function A. -5B.2/5C.2D.5/2 In what instance would population stabilize? A) when a natural disaster occurs B) when a prey species increases its population C) when carrying capacity is reached D) when a predator species is eliminated Please helpTo make a prairie" by Emily DickinsonTo make a prairie it takes a cloverand one bee, -One clover, and a bee,And revery.*The revery alone will doIf bees are few* Revery is an old-fashioned spelling of the word reverie, meaning daydream.Which of the following is the most plausible explanation for how the structureof the poem contributes to its meaning?O A. The poem's short length conveys that it does not take a lot ofimagination to create a dream.O B. The thyming of 'do' with few is a lyric structure that's used toconvey that the absence of pests, such as bees, makesdaydreaming much easierOC. The prairie represents the blank state of the imagination in an epicsimile depicting a person who lacks the proper stimulation fordaydreamingO D. The repetition of the word 'prairie" is an epic characteristic that'sused to suggest that nature provides a great deal of inspiration forthe daydreamer which ordered pairs are solutions to the inequality y-3x PLEASE HELP I AM BEING TIMED!!!Statment: Find the measure of the angle indicated by 19x+5Options: 130 50 80 100 Which of these ideas came from Baron de Montesquieu? *Social ContractBill of RightsFederalismSeparation of Powers If 4 7x is 5 less than 23, what is the value of 3x ?