Assume that your team has been approached by T-14 Training Academy to build their online system. So, you are required to carry out Object Oriented Analysis and Design of the proposed system. 1. Introduction 2. Specification T-14 Training Academy T-14 is a fresh initiative from a group of retired national team football players. It is a training academy that specializes in football. The academy carries out various training programs focusing on the multiple age groups. For every age group, there are two types of training categories available: Basic or Intermediate. There are no specific criteria for joining Basic training. But to enrol in the intermediate training, there are some prerequisites that need to be completed. To join intermediate training, one needs to appear on some football IQ related tests and must score certain points to be considered for other tests. The trainer team decides if the members are eligible to join the Intermediate training or not at the end, comparing the overall performance in all written and physical tests. Apart from the training facility, it also sells Football Accessories at a price lower than that is at market. So, to manage their business operations, T-14 academy is also looking for an online solution. Their need for an online system has even escalated with the current Covid-19 pandemic experience. They want their business operations to be streamlined in case the operations can’t be handled physically. T-14 wants the membership process to be handled online as well. They also want the tests to be carried out online. 1.1 Detailed Specification The proposed system is to have following functions 1. Register membership. The very first criteria for students is to become an online member of the academy. 2. Design test papers and practice test papers. The provision to design test papers (MCQ, Subjective) in the system itself by the coaches/trainers. 3. Enroll staff members. System provision to register newly appointed staff. 4. Purchase football kits. For members of the academy, there is a special discount for buying kits (Jerseys, Socks, Boots, training tracksuits etc.) for buying the items listed in the system especially the Jersey of Professional footballer clubs. 5. Report preparation. The facility for the trainer/examiner to be able to enter the performance score and generate the reports of members regarding their performance in the written and physical tests. 6. Post exams notices and announcements. Admin to be able to post notices, results, or other announcements. 7. Take a mock exam. (This is for the members who are looking to join Intermediate training) Watch the football related videos and give mock exams and see results. Planning, requirements modeling and analysis (65%) 1. Prepare a Gantt chart indicating how you might schedule the work of developing the system. But please ensure that the Gantt chart is based upon a methodology of your choice. 2. Produce a Use Case Model for the required system – including a Use Case diagram, and High Level Use Case Descriptions for each Use Case. For two of the Use Cases, produce Expanded Use Case Descriptions. Choose one of these expanded Use Case Descriptions to model both the Collaboration and Sequence diagram, in 3, below. 3. Explain in words how you would go about producing the Communication diagrams, that is a Collaboration diagram and a Sequence diagram, from the Use Case model. Produce a Collaboration diagram and then produce a Sequence diagram for the same Use Case. 4. Explain in words how you would produce the Class Diagram. The description can contain the steps starting from use case and any additional considerations that may require while drawing the class diagram. Produce an Analysis Class diagram showing the domain classes. Design (35%) 1. Some of the work has been done till date (analysis and design diagrams have been done). Now how do you plan to move further in the process of completing the project? You are required to select a methodology that you think is feasible for this project and your explanation of further planning should be relatable to the methodology that you have chosen.(Note: the further planning can include things like design plan, development plan, testing plan etc) 2. Develop prototype for "T-14 Training Academy" system including features which are listed in detailed specification.

Solution :

import \($\text{java}.$\)util.*;

public \($class$\) currency{

  public static \($\text{void}$\) main(String\($[]$\) args) {

      Scanner input \($=$\) new Scanner(System\($\text{.in}$\));

      System\($\text{.out.}$\)print("Enter \($\text{number of}$\) quarters:");

      int quarters = input.nextInt();

      System.out.print("Enter number of dimes:");

      int \($\text{dimes =}$\) input.nextInt();

      System\($\text{.out.}$\)print("Enter number of nickels:");

      int nickels = input.nextInt();

      System\($\text{.out.}$\)print("Enter number of pennies:");

      int \($\text{pennies = }$\) input.nextInt();

      // computing dollors

      double dollars = (double) ((quarters*0.25)+(dimes*0.10)+(nickels*0.05)+(pennies*0.01));

      System\($\text{.out.}$\)format("You have : $%.2f",dollars);

  }

}

The Yaesu FT-5DR comes with a battery charger called the SAD-25B. This charger is designed to charge the FT-5DR's Li-Ion battery pack, the SBR-14LI.

The SAD-25B charger is a compact, lightweight charger that operates on 100-240V AC input, making it compatible with most power outlets around the world. The charger also features an LED indicator that shows the charging status of the battery, and it automatically switches to trickle charging mode once the battery is fully charged to prevent overcharging and extend the battery's lifespan.

It's important to note that the FT-5DR can also be charged via USB cable, which can be connected to a computer or USB power adapter, but the charging time may be longer compared to using the supplied SAD-25B charger.

To know more about battery visit:-

https://brainly.com/question/19225854

#SPJ11

The minimum size of aluminum feeder conductors permitted to be installed in parallel is #1/0 AWG.

A feeder conductor is an electrical power cable that carries electricity from a distribution point to the point of use. The current-carrying conductors that come from the distribution point or transformer and feed directly into the facility are known as feeder conductors. Aluminum is a popular choice for wiring as well as electrical conductor applications in the power industry.

The reason for this is because it has some desirable characteristics such as low resistance, low cost, and low weight. Here are the aluminum conductor sizes:#1/0 AWG (minimum size)1/0 AWG2/0 AWG3/0 AWG4/0 AWG. The above-listed wire sizes are commonly used as feeders or sub-feeders, and the smallest allowable wire size for parallel conductors is 1/0 AWG.

Learn more about feeder conductor here: https://brainly.com/question/28546980

#SPJ11

Answer:

\(W=46141.72~J\)

Explanation:

Given:

initial pressure, \(P_1=14~bar=1.4\times10^6~Pa\)

initial volume, \(V_1=0.03~m^3\)

After isothermal expansion:

final volume, \(V_2=3V_1=0.09~m^3\)

a)

We have the work done in isothermal process as:

\(W=P_1.V_1\ln(\frac{V_2}{V_1} )\)

\(W=1.4\times10^6\times 0.03\ln(\frac{0.09}{0.03} )\)

\(W=46141.72~J\) is the work by the gas in moving the external force

b)

When the force on piston is suddenly reduced to half the initial value then the process becomes near to adiabatic.

\(P_1V_1^{\gamma}=P_2V_2^{\gamma}\)

\(14\times 0.03^{1.4}=P_2\times 0.09^{1.4}\)

\(P_2=3~bar\)

Now, using the formula for work done in adiabatic process:

\(W=\frac{P_1V_1-P_2V_2}{\gamma-1}\)

\(W=\frac{1.4\times10^6\times 0.03-3\times10^5\times 0.09}{1.4-1}\)

\(W=3750~J\)

The option that accurately describes circuits is this: B. In a series circuit, the current can flow through only one path from start to finish.

The option that best describes circuits is that in a series circuit the flow of current moves from one point to another. The current simply flows on a single line and there are no diversions.

Also, the addition of the resistors in a series circuit will yield the total resistance present in the circuit. So, of all the options listed about circuits, option B is the most accurate.

Learn more about circuits here:

https://brainly.com/question/2969220

#SPJ1

Complete Question

Complete Question is attached below

Answer:

Option A

Explanation:

From the question we are told that:

inner Diameter of pipe \(d_i=100^c\)

Thickness \(t=50mm\)

Outer diameter of pipe \(d_o=1.1m\)

Length \(l=5m\)

Temperature \(T_i=130^oC\)

Generally the equation for Heat Balance is mathematically given by

\(q*\pi d_oL=mC_p(T_i-T_o)\)

Therefore

\(T_o=T_i+\frac{q*\pi d_oL}{mC_p}\)

\(T_o=130+\frac{100*3.142 *1.1*5}{0.5*4000}\)

\(T_o=129.136^oC\)

Therefore the exit temperature of the water.is \(T_o=129.136^oC\)

Option A

The purpose is to calculate the line currents for each load and the total line current based on the provided data.

In a balanced three-phase power system supplied by 4.12-15 kV, there are four parallel three-phase loads. Load 1 has an apparent power of 515 kVA, Load 2 has a reactive power of 320 kVAR, Load 3 has an active power of 170 kW with a power factor of 0.79 (capacitive) and 0.83 (leading), and Load 4 is a complex impedance load of 90 -j35 Ω per phase.

To find the line current for each load, we can use the respective power formulas and voltage values. The line current for each load can be determined using the appropriate formulas for power calculation in three-phase systems.

To find the total line current when the first three loads are Y connected, we can add up the individual line currents of the loads.

Similarly, when the loads are A connected, the total line current can be calculated by adding up the individual line currents.

By performing the calculations based on the given information, the line currents for each load and the total line current can be determined.

Learn more about line currents

brainly.com/question/32080212

#SPJ11

Explanation:

R = √(A²+B²–2ABCos(x°))

x⁰ = 180–135

x° = 45°

R = √(350²+180²–2(350(180))Cos(45)))

R = 256.524

Answer:

yrt a

Explanation:

Answer:

C). America’s veterans defend our freedom, but they sacrifice their personal ambitions and their lives, and many of them suffer physically and mentally from their experiences.

Explanation:

A good thesis statement must provide the central idea or theme of the paper or the essay in a capsule form along with its theoretical base. The key characteristics of a thesis statement are its arguability, specificity, and intensity. As per these descriptions, the above statement correctly relates the main point('America's...freedom') very clearly and precisely. It also contains the arguability which can be supported through further evidences.

Answer: A. yes

Explanation:

Answer:

Q=I^2Rt

Explanation:

The principle of resistance welding is the Joule heating law where the heat Q is generated depending on three basic factors as expressed in the following formula

Q=I^2Rt

I is the current passing through the metal combination

R is the resistance of the base metals and the contact interfaces

t is the duration/time of the current flow.

True, a wire carrying a current can still be neutral if the positive and negative charges are equal and opposite.

This is because the current is a flow of charge, and as long as the amount of positive charge flowing in one direction is equal to the amount of negative charge flowing in the opposite direction, the wire will remain neutral overall.

This is often the case in a typical electrical circuit, where the current is carried by electrons flowing through the wire, but the wire itself remains neutral.

To learn more about current, click here:

https://brainly.com/question/25922783

#SPJ11

The engine's mechanical output is 88 * 104 W, and its theoretical maximum efficiency is 67.2%.

It's a dependable fuel; coal is a predictable, reliable, and dependable fuel as compared to solar or wind power. Despite not being at the vanguard of the country's energy output, it may offer a priceless backup service and a very dependable fuel for home stoves.

(a). The efficiency of a Carnot cycle linked with the same two reservoirs, as determined by Equation, is the appropriate level efficiency of this engine.

\($\mathrm{e}_{\mathrm{C}}=1-\frac{\mathrm{T}_{\mathrm{c}}}{\mathrm{T}_{\mathrm{h}}}$\)

Substitute numerical values:

\($\mathrm{e}_{\mathrm{C}}=1-\frac{703.15}{2143.15}$\)

= 0.672 = 67.2%

(b). Equation provides the engine's output power.

\($\mathrm{P}=\frac{\mathrm{W}_{\text {eng }}}{\Delta \mathrm{t}}$\)

Substitute for   \($W_{\text {en }}$\)  from Equation :

\($\mathrm{P}=\frac{\mathrm{c}\left|\mathrm{Q}_{\mathrm{h}}\right|}{\Delta \mathrm{t}}$\)

Substitute numerical values:

P = (0.42) (1.4 * 10⁵) / 1

  = 88 * 10⁴ W

To know more about Coal-fired visit:

https://brainly.com/question/13731401

#SPJ4

ᴄᴏᴍᴘʟᴇᴛᴇɴᴇꜱꜱ ᴍᴇᴀɴꜱ ᴛʜᴇ ꜱᴛᴀᴛᴇ ᴏꜰ ʙᴇɪɴɢ ᴄᴏᴍᴘʟᴇᴛᴇ ᴀɴᴅ ᴇɴᴛɪʀᴇ; ʜᴀᴠɪɴɢ ᴇᴠᴇʀʏᴛʜɪɴɢ ᴛʜᴀᴛ ɪꜱ ɴᴇᴇᴅᴇᴅ.

ʙᴇᴀᴜᴛʏ ᴍᴇᴀɴꜱ combination of qualities, such as shape, colour, or form, that pleases the aesthetic senses, especially the sight.

Solution :

The correct size of the arc of a welding process depends upon the application and the electrode. As a rule, the arc length should not be more than a diameter of the core of the electrode.

As for the electrode of diameter size of 5/32" or 4 mm, the arc length should be more than its core diameter. Also for 5/32 " diameter electrode, the welding time for the one electrode must be one minute as well as the length of the weld be the same as the length of the electrode consumed.  

The monarchy, or rule by divine right of a king, was displaced by the ideas advanced in the Declaration of Independence and the U.S. Constitution. The ideas expressed in the Declaration of Independence and the U.S. Constitution asserted the people’s right to govern themselves in opposition to the divine right of kings on which the monarchy was based.

Answer:

Pie is a great idea for a long time and a great day and I will be in touch soon and I hope you have a great day and I will be in touch soon and

Correct question is;

An air-conditioning system operates at a total pressure of 1 atm and consists of a heating section and a humidifier that supplies wet steam (saturated water vapor) at 100°C. Air enters the heating section at 10°C and 70 percent relative humidity at a rate of 35 m3/min, and it leaves the humidifying section at 20°C and 60 percent relative humidity. Determine (a) the temperature and relative humidity of air when it leaves the heating section, (b) the rate of heat transfer in the heating section, and (c) the rate at which water is added to the air in the humidifying section.

Answer:

A) Temperature at state 2: T2 = 19.5°C and Relative Humidity at state 2: Φ2 = 37.8%

B) Q' = 420.01 KJ/min

C) m'w = 0.1472 Kg/min

Explanation:

This question depicts a steady state process and as such the mass flow rate of dry air will remain constant during the entire process.

A) Now, from the psychometric chart attached, at temperatures of T1 = 10°C & T3 = 20°C, Relative humidities; Φ2 = 70% & Φ2 = 60% and at pressure of 1 atm, we have;

Enthalpy at state 1;h1 = 23.5 Kj/kg dry air

Absolute humidity at state 1;ω1 = ω2 = 0.0053 kg of water per kg dry air

Enthalpy at state 3;h3 = 42.3 KJ/Kg dry air

Absolute humidity at state 3; ω3 = 0.0087 kg of water per Kg dry air

Specific volume at state 1;υ1 = 0.809 m³/kg

The formula for energy balance for the humidifying is given as;

h3 = h2 + hg(ω3 - ω2)

Where hg is the enthalpy of wet steam.

From second table attached, hg at 100°C is 2675.6 KJ/kg

Thus;

Making h2 the subject, we have;

h2 = h3 + hg(ω2 - ω3)

Plugging in the relevant values we have;

h2 = 42.3 + 2675.6(0.0053 - 0.0087)

h2 = 33.2 KJ/kg

Still using the psychrometric chart attached at ω2 = 0.0053 and h2 = 33.2 KJ/kg, we have;

Temperature at state 2: T2 = 19.5°C and Relative Humidity at state 2: Φ2 = 37.8%

B) to determine the rate of heat transfer, let's first find the mass flow rate first;

m' = V1'/υ1

Thus, m' = 35/0.809

m' = 43.3 kg/min

Thus, rate of heat transfer is given by;

Q' = m'(h2 - h1)

Plugging in the relevant values, gives;

Q' = 43.3(33.2 - 23.5)

Q' = 420.01 KJ/min

C) the rate at which water is added to the air in the humidifying section is given by;

m'w = m'( ω3 - ω2)

m'w = 43.3(0.0087 - 0.0053)

m'w = 0.1472 Kg/min

Answer:

T₂ = 19.5 °C

∅₂ = 37.8%

Q = 420.01 kJ/min

m\(_{w}\) = 0.015 kg/min

Explanation:

Given:

total pressure = p = 1 atm

Temperatures:

T₁ = 10°C

T₃ = 20°C

Relative Humidity:

∅₁ = 70%

∅₃ = 60%

Volume = V₁ = 35 m³/min

Solution:

a) Use psychometric chart to determine the enthalpies by using the given values of temperatures and relative humidity:

h₁ = 23.5 kJ/kg

w₁ = 0.0053

w₁ = w₂

h₃ = 42.3 kJ/kg

w₃ = 0.0087

v₁ = 0.809 m³/kg

When the airs flows through the heating section, the amount of moisture in it remains constant. So

w₁ = w₂

When the airs flows through the humidifying section, the amount of moisture in it increases. So

w₃ > w₂

Compute enthalpy h₂

h₂ = h₃ - ( w₃ - w₂) hs

where hs is the enthalpy of wet steam at 100°C from steam table

hs = 2676 kJ/kg

h₂ = 42.3 - ( 0.0087  - 0.0053 ) 2676

    = 42.3 -  (0.0034) 2676

    = 42.3 - 9.0984

    = 33.2016

h₂ = 33.2 kJ/kg

Compute T₂ and ∅₂

Using h₂ = 33.2 kJ/kg and w₂ = 0.0053 and psychometric chart:

T₂ = 19.5 °C

∅₂ = 37.8%

Compute mass flow rate:

mass flow rate = m = V₁ /v₁

                                = 35/0.809

                                = 43.26 kg/min

     m = 43.3 kg/min

b) Compute heat transfer in the heating section:

Q = m x (h₂  - h₁)

   = 43.3 kg/min ( 33.2 kJ/kg - 23.5 kJ/kg )

   = 43.3  ( 9.7 )

Q = 420.01 kJ/min

c) Compute rate at which water is added to the air in the humidifying section

Let m\(_{w}\) be the mass flow rate equation of water in  humidifying section is:

m\(_{w}\)  = m(w₃ - w₂)

      = 43.3 ( 0.0087  - 0.0053 )

      =  43.3(0.0034)

      = 0.14722

      = 0.147 kg/min

m\(_{w}\) = 0.015 kg/min

Answer:

please let me know the answer to this because I need to know as well. thanks

The given function x[k] is a ramp function.

Given a function x[k] = k, (k≥0) and x[k] = 0, (k<0).

We need to identify the type of function x[k] is. Option (c) the ramp function is the correct answer.

Explanation: Unit impulse function is a function, which is zero everywhere except at k=0.

At k=0, the value of function is infinite and is undefined.

Unit step function is a function, which is zero everywhere except for k ≥ 0. For k<0, the function is equal to 0 and for k ≥ 0, the function is equal to 1. It is represented as u[k].

Ramp function is a function, which is zero everywhere except for k ≥ 0. For k<0, the function is equal to 0 and for k ≥ 0, the function is equal to k. It is represented as r[k].

Here, x[k] = k, (k≥0) and

x[k] = 0, (k<0).

For k<0, x[k] = 0

For k≥0, x[k] = k

Hence, x[k] is a ramp function.

Conclusion: Thus, the given function x[k] is a ramp function.

To know more about function visit

https://brainly.com/question/21426493

#SPJ11

70.40mol cuz

1g sodium sulfate = 0.00704mol

take 10kg × 1000 = 10,000g

10,000g × 0.00704

final answer 70.40mol

(as per my thinking)

Answer:

70.40mol cuz

1g sodium sulfate = 0.00704mol

take 10kg × 1000 = 10,000g

10,000g × 0.00704

final answer 70.40mol

(a) The open-circuit voltage is 25 V.

(b) The maximum power it could deliver to a well-chosen RL is 28.75 W.

(c) The value of that RL is 7.5 Ω.

(a) The open-circuit voltage is calculated using Ohm's Law:

V = I × R

V = 5 A × 0 Ω (since the source is momentarily short-circuited)

V = 25 V

(b) The maximum power it could deliver to a well-chosen RL is calculated using the equation:

P = V2/R

P = (25 V)2/R

P = 625/R

R = 625/P (where P is the power delivered to the load, i.e. 35 W)

R = 17.86 Ω

(c) The value of that RL is calculated using the equation:

R = V2/P

R = (25 V)2/35 W

R = 7.5 Ω

Learn more about electricity here
https://brainly.com/question/776932

#SPJ1

The term that stands for enabling the encryption for cloud-based virtual machine hard disks is known as Server-side encryption or Bit locker.

Cloud encryption may be defined as the methodology through which the transformation of data from its original text format to an unreadable format is done.

According to the context of this question, Bitlocker enables disk encryption on Windows VMs. While Server-side encryption enables by default managing all sorts of disks, snapshots, images, etc. in all the regions where regulated disks are significantly available.

Therefore, server-side encryption or Bit locker is the term that stands for enabling the encryption for cloud-based virtual machine hard disks.

To learn more about Cloud encryption, refer to the link:

https://brainly.com/question/14951754

#SPJ1

The results are very close, and when plotted, the differences are visually indistinguishable. This shows that the hand and MatLab results agree very closely.

In a general sense, something that is indistinguishable cannot be differentiated between two or more items or entities. This could refer to physical items, such as two identical objects, or it could refer to intangible things, such as two indistinguishable sounds or emotions. When something is indistinguishable, it means that the differences between the items or entities are too small or too subtle to be noticed. In some cases, two or more items might appear to be identical, even though there may be slight differences that are difficult to detect.

The hand and MatLab results are very similar, but not exact due to numerical precision. However, when plotted, they are nearly indistinguishable. The MatLab result is:
f(t) = 6 + 10*exp(-5*t)*cos(3*t)
When converted to degrees, this is:
f(t) = 6 + 10*exp(-5*t)*cos(3*t + 126.891°).
The results are very close, and when plotted, the differences are visually indistinguishable. This shows that the hand and MatLab results agree very closely.

To learn more about indistinguishable
https://brainly.com/question/16343406
#SPJ4

Answer: True

Explanation: Iron is magnetic

Answer:

a

Explanation:

because if you do its right

True. Beams are indeed designed based on their strength to resist internal shear and moment forces that develop along their length.

These internal forces, known as shear and bending moments, are a result of external loads applied to the beam, such as the weight of the structure or additional live loads. The design process involves determining the maximum shear and bending moment that the beam will experience and selecting a beam size, material, and shape that can safely withstand these forces without failure. Engineers analyze the beam's cross-sectional properties, such as its moment of inertia and section modulus, to calculate the maximum stress and deflection under the applied loads. By designing beams to resist shear and moment forces, structural integrity and safety are ensured.

To learn more about moment forces
https://brainly.com/question/32087841
#SPJ11

The correct codeword transmitted is [0 1 0 1 1 0].

To calculate the syndrome vector, we duplicate the gotten vector, r, by the transpose of the equality check lattice, H. The disorder vector, S, is gotten by taking the modulo 2 entirety of the coming about vector. Let's perform the calculations:

H^T = [11 1 1]

[ 1 1 1 0]

[ 1 1 1 0]

r = [0 1 1 1 0]

Duplicating r by H^T:

r * H^T = [0 1 1 1 0] * [11 1 1] = [0 1 1 1]

Taking modulo 2 whole:

S = [0 1 1 1] % 2 = [0 1 1 1]

Presently, we have the disorder vector S = [0 1 1 1].

To discover the proper codeword transmitted, we got to discover the error design comparing to the disorder vector. Looking at the equality check matrix, we will see that the moment and third columns have a non-zero passage within the moment and third columns, individually. Subsequently, there are blunders within the moment and third positions of the gotten vector.

To rectify the blunders, we flip the bits at the positions demonstrated by the non-zero sections within the disorder vector:

Flipping the moment and third positions:

[0 1 1 1 0] -> [0 1 1 1 0]

In this manner, the proper codeword transmitted is [0 1 1 1 0].

Learn more about syndrome vector here: https://brainly.com/question/31767430

#SPJ4

Answer:

Bourdon Tube gauge

Explanation:

The most popular type of pressure gauge in several countries is the Bourdon pressure tube gauge, that is used to determine medium and high loads. Bourdon tube  will measure pressures ranging between 600 mbar - 4,000 bar. While the inner pressure is greater than the exterior pressure, the tube pushes forward, and vise versa.

A carpenter needs to decide between R-11 and R-19 insulation for a ceiling. R-11 costs $0.10/sq ft, while R-19 costs $0.15/sq ft. The annual savings with R-19 is estimated to be $25 more than R-11. With a house size of 2,500 sq ft and a 25-year ownership, at a 10% interest rate, R-19 insulation should be installed.

\

Here is the solution to the given problem:A carpenter is trying to determine how much insulation should be put into a ceiling. The higher the R rating of the insulation, the better the insulation. The choices are limited to either R-11 or R-19 insulation. The R-11 insulation costs $0.10 per square foot while the R-19 costs $0.15 per square foot. The annual saving in heating and cooling costs is estimated to be $25 per year greater with R-19 than with R-11. If the house has 2,500 square feet and the owner expects to keep the house for 25 years, which insulation should be installed at an interest rate of 10%? Use the annual equivalent method.The present worth of insulation of R-11 per square feet is given byPW_1 = A × (P/A, i, n)Here, A is the annual payment for the R-11 insulation which is equal to $0.10, i is the interest rate which is equal to 10%, and n is the total number of years for which the house is expected to be kept which is equal to 25 years. So, putting these values in the above equation we getPW_1 = 0.10 × (P/A, 10%, 25)Now, the present worth of insulation of R-19 per square feet is given byPW_2 = A × (P/A, i, n)Here, A is the annual payment for the R-19 insulation which is equal to $0.15, i is the interest rate which is equal to 10%, and n is the total number of years for which the house is expected to be kept which is equal to 25 years. So, putting these values in the above equation we getPW_2 = 0.15 × (P/A, 10%, 25)The annual saving in heating and cooling costs is estimated to be $25 per year greater with R-19 than with R-11. So, the annual equivalent cost difference between R-19 and R-11 isAE = $25Now, the total square feet area that needs to be covered is given byT = 2,500 square feetSo, the total present worth of insulation of R-11 for the area T is given byPW_1 × TNow, the total present worth of insulation of R-19 for the area T is given byPW_2 × TSo, we need to calculate the present worth of insulation for both the R-11 and R-19 insulation methods. Then we need to compare both of them. So, we havePW_1 = 0.10 × (P/A, 10%, 25)PW_1 = 0.10 × (7.2464)PW_1 = $0.72464Now, the present worth of insulation of R-19 per square feet is given byPW_2 = 0.15 × (P/A, 10%, 25)PW_2 = 0.15 × (7.2464)PW_2 = $1.08696Now, the total square feet area that needs to be covered is given byT = 2,500 square feetSo, the total present worth of insulation of R-11 for the area T is given byPW_1 × T$0.72464 × 2,500 = $1,811.6Now, the total present worth of insulation of R-19 for the area T is given byPW_2 × T$1.08696 × 2,500 = $2,717.4So, the present worth of insulation of R-19 is more than the present worth of insulation of R-11.So, the R-19 insulation should be installed.

Learn more about annual savings here :-

https://brainly.com/question/14185229

#SPJ11