Assume that the speed of new computers costing a certain amount of money grows exponentially over time, with the speed doubling every 18 months. Suppose you need to run a very time consuming program and are allowed to buy a new computer costing a fixed amount on which to run the program. If you start now, the program will take 7 years to finish. How long should you delay buying the computer and starting the program so that it will finish in the shortest amount of time from now

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Answer 1

Therefore, in order to run the program in the shortest time, you should delay for 3 years

Given that the speed of new computers costing a certain amount of money grows exponentially over time, with the speed doubling every 18 months.

Exponential equation as a function of time can be expressed as

P(t) = [tex]P_{0}[/tex][tex]R^{t/T}[/tex]

Quantity P will be increasing exponentially when R > 1. And it will decrease exponentially when R < 1.

Suppose you need to run a very time consuming program and are allowed to buy a new computer costing a fixed amount on which to run the program. If you start now, the program will take 7 years to finish.

Let the time required to run and complete a program for time t years be P(t).

If the speed doubling every 18 months, which is 3/2 years. This will eventually cause the running time to decrease by half (0.5)

P(t) = 7[tex](1/2)^{3t/2}[/tex] = 7[tex](2)^{-3t/2}[/tex]

The total time T will be sum of the delay time t and the time of running the program. That is

T(t) = t + P(t)

T(t) = t + 7[tex](2)^{-3t/2}[/tex]   .......... (2)

We can calculate the minimum time t by differentiating the above equation and make it equal to zero.

dT/dt = 1 + 14/3[tex](2)^{-3t/2}[/tex](ln0.5) = 0

14/3[tex](2)^{-3t/2}[/tex](ln0.5) = -1

[tex](2)^{-3t/2}[/tex](ln0.5) = -3/14

[tex](2)^{-3t/2}[/tex] = -3/14ln0.5

Log (natural logarithm) both sides

-3t/2ln2 = ln(3/14ln2)

make t the subject of formula

t = - 3ln(3/14ln2) ÷ 2ln2

t = 2.5 approximately

To know how long you should delay buying the computer and starting the program so that it will finish in the shortest amount of time from now, substitute t into equation 2

T(2.5) = 2.5 + (7)[tex]2^{-3(2.5)/2}[/tex]

T(2.5) = 2.5 + 0.5202

T(2.5) = 3.02 years

T (2.5) = 3 years approximately

Therefore, in order to run the program in the shortest time, you should delay for 3 years

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Related Questions

the most important part of a computer​

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Answer:

CPU central processing unit

Differentiate between patent and copyright.

Answers

Answer: Patent - securing an invention

Copyrights - securing original ideas

Both are governed by different rules and regulations and both are for different purposes.

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Explain the role that the number of data exchanges plays in the analysis of selection sort and bubble sort. What role, if any, does the size of the data objects play

Answers

Answer:

The greater the number of exchanges are there greater is the complexity of the algorithm. Thus it is a measure to check for the complexity of the program.

Write a program that, given a file name typed by the user, reads the content of the file and determines the highest salary, lowest salary and average salary. The file contains employee records, and each record consists of the hours worked and the hourly rate. The salary is calculated as the product of the hours worked and the hourly rate.

An example of file containing three records is as follows:
10.5 25.0
40.0 30.0
30.9 26.5

Answers

Using the pandas packge in python, the program which performs the required calculation goes thus :

file_name = input()

#user types the filename

df = pd.read_csv(file_name, names=['hours_worked', 'rate']

#file is read into a pandas dataframe

df['salary'] = df['hours_worked'] * df['rate']

#salary column is created using the product of rate and hours worked

highest_salary = df['salary'].max()

#the max method returns the maximum value of a series

print('highest_salary)

lowest_salary = df['salary'].min()

#the min method returns the minimum value of a series

print('lowest_salary)

avg_salary = df['salary'].mean()

#the mean method returns the average value of a series

print('avg_salary)

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Just a quick question, how do you set something == to char and int in an if statement (java)
Write a method checkCharacter() which has 2 parameters: A String, and a specified index (an int). Method checkCharacter() checks the character at the specified index of the String parameter, and returns a String based on the type of character at that location indicating if the character is a letter, digit, whitespace, or unknown character.


Ex: The method calls below with the given arguments will return the following Strings:


checkCharacter("happy birthday", 2) returns "Character 'p' is a letter"

checkCharacter("happy birthday", 5) returns "Character ' ' is a white space"

checkCharacter("happy birthday 2 you", 15) returns "Character '2' is a digit"

checkCharacter("happy birthday!", 14) returns "Character '!' is unknown"


Your program must define the method:

public String checkCharacter(String word, int index)



this is what i got to but im stuck on how to find out if its a char or int


public class TollCalculation {


public double calcToll(int hour, boolean isMorning, boolean isWeekend) {

Scanner scnr = new Scanner(System.in);

int timeHour; // Time of travel hour (24 hour format)

int timeMinute; // Time of travel minute

int inputColon; // Used to read time format

String userInput; // User specified time

double tollAmount;

}


public static void main(String[] args) {

TollCalculation tollObj = new TollCalculation();


// Test the three samples from the specification.

System.out.println(tollObj.calcToll(7, true, false));

System.out.println(tollObj.calcToll(1, false, false));

System.out.println(tollObj.calcToll(3, true, true));

}

}

Answers

This is the requested code in java.

public class CharTest {

   public static String checkCharacter(String text, int index) {

       if (0 <= index && index <= text.length()) {

           char ch = text.charAt(index);

           if (Character.isLetter(ch)) {

               return ch + " is a letter";

           } else if (Character.isDigit(ch)) {

               return ch + " is a digit";

           } else if (Character.isWhitespace(ch)) {

               return ch + " is a whitespace character";

           } else {

               return ch + " is an unknown type of character";

           }

       } else {

           return "index " + index.toString() + " is out of range";

       } // end if

   } // end function checkChar()

   public static void main(String[] args) {

       // Test the three samples from the specification.

       System.out.println(checkCharacter("happy birthday", 2));

       System.out.println(checkCharacter("happy birthday", 5));

       System.out.println(checkCharacter("happy birthday 2 you", 15));

   } // end function main()

} // end class CharTest

The function checkcharacter(text, index) returns a string value describing the kind of character found at the position in text specified by index; whether it was a letter, digit, whitespace, or an unknown kind of character.

How it does that is to make use of respective functions defined within the Character class in java. That is

isLetter(char) returns a bool specifying if the char parameter is a letter.isDigit(char) returns a bool specifying if the char parameter is a digit.isWhitespace(char) returns a bool specifying if the char parameter is a whitespace character.

It calls these functions in an if statement. These else part of the if statement is then executed if the character is neither a letter, digit, or whitespace.

Finally, the function main() calls checkCharacter() three times to test the function and return the results to the console.

Another example of a java program on characters is found in the link below

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What is the difference between (IF instructions & WHILE instructions )
0
를 들
T
!

Answers

Answer:

While statements determine whether a statement is true or false. If what’s stated is true, then the program runs the statement and returns to the first step. If what’s stated is false, the program exits the while and goes to the next statement. An added step to while statements is turning them into continuous loops. If you don’t change the value so that the condition is never false, the while statement becomes an infinite loop.

If statements are the simplest form of conditional statements, statements that allow us to check conditions and change behavior/output accordingly. The part of the statement following the if is called the condition. If the condition is true, the instruction in the statement runs. If the condition is not true, it does not. The if statements are also compound statements. They have a header (if x) followed by an indented statement (an instruction to be followed is x is true). There is no limit to the number of these indented statements, but there must be at least one.

A good algorithm should have which three components?
O A. Commands, inputs, and outputs
B. Clarity, readability, and sequencing
C. Steps, order, and outcomes
O D. Clarity, simplicity, and brevity

Answers

Answer:

a good algorithm must be able to accept a set of defined input. Output: a good algorithm should be able to produce results as output, preferably solutions. Finiteness: the algorithm should have a stop after a certain number of instructions. Generality: the algorithm must apply to a set of defined inputs.Explanation:

A good algorithm should have Steps, order, and outcomes. The correct option is C.

What is algorithm?

An algorithm is a set of instructions that solves a particular problem or performs a specific task.

An algorithm must be well-defined and organised in order to be effective, with clear steps or procedures, a logical order of operations, and a clear understanding of the expected outcomes or results.

As a result, the steps, the order in which those steps are executed, and the expected outcomes or results of following those steps are three essential components of a good algorithm.

Option A describes the fundamental components of a programme, but it is not always a good algorithm.

Option B emphasises some important characteristics of good code, but not specifically related to algorithm design.

Option D addresses important aspects of any type of technical writing, but is not specifically related to algorithm design.

Thus, the correct option is C.

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Which statement best explains how the main idea relates to taking notes?

The main idea is always included in effective notes.
The main idea is always easy to identify.
The main idea is rarely used as a title for notes.
The main idea is rarely identified by listening or reading

Answers

Answer:

The main idea is always included in effective notes.

Answer:

a

Explanation:

I did the quiz

If ClassC is derived from ClassB which is derived from ClassA, this would be an example of ________.

Answers

Answer:

Inheritance

Explanation:

True or False? Voice recognition is the process of determining the meaning of the words spoken by a human.

Answers

Answer:

The answer is False.

What symbol must go at the end of an if statement?

Answers

::::::::
a period (.)

Answer: the pireod .

Explanation:

I love dogs & cats.

50 free po.intssssssss!

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Answer:ty

Explanation:

Ty tysm u angel u amazing human angel

How exactly do I answer questions?

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Answer:

If you mean this website, click the add answer button on the question

Explanation:

Imagine you were going to use a dedicated workstation for an animation job rather than a personal PC. What differences would you expect to see between a dedicated 3D animation workstation and a typical PC

Answers

I'm no expert here, as I don't own a workstation but rather a gaming pc. But hey, I did tons of research on pc components and I think I can answer your question.

A dedicated workstation would be FAR more capable of running 3d applications, given how demanding they can get than a personal PC. You'd instantly regret using a typical pc for 3d rendering, even a top of the line gaming pc. Point is, gpus created by nvidia are far more capable of running graphic intensive programs specifically made for work than any other gpu. If you want to be satisfied, i'd advise you go for a workstation (Plus they're so much easier to get your hands on than a gaming rig).

How does a computer work?

Answers

Answer:

A computer is a Device that can run multiple applications at a time and access the internet where you can find online stores and more also used to make video calls and more.

A computer system works by combining input, storage space, processing, and output. ... It is known as Computer Memory that keeps the data into it. A computer uses a hard drive for storing files and documents. It uses two types of memory, i.e., internal memory and external memory.

For security reasons, the network administrator needs to prevent pings into the corporate networks from hosts outside the internetwork. Which protocol should be blocked with access control lists

Answers

Answer:

ICMP

Explanation:

HOW TO DISCONNECT A MONITOR FROM A SYSTEM UNIT

Answers

Answer: 1. Use the Windows key + P keyboard shortcut.

2. Using the “Project” flyout, select the PC screen only option.

3. Open Settings.

Click on Display.

Under the “Select and rearrange displays” section, select the monitor that you want to disconnect.

Select monitor on Windows 10

Under the “Multiple displays” section, use the drop-down menu and select the Disconnect this display option.

Which tab must be enabled to access the VBA Editor?
O Developer
O Insert
O Review
O View

Answers

The answer to your question is Developer.

LIst types of computer process ?

Answers

Answer:

Transaction Processing.

Distributed Processing.

Real-time Processing.

Batch Processing.

Multiprocessing.

Write a function named partfthat takes inas parameterstwo parallel lists: a list of times (in increasing order), and a list of distance traveled by that point in time. The function should return a new list giving the average velocity between consecutive time measurements. The new list should have a length of one less than the original lists.

Answers

The program calculates the velocity between points in a list is written below. The program is written in python 3 thus ;

t = input("Enter time values : ")

#Enter the time values of the data

p = input("Enter distance values : ")

#Enter the distance values

dist = [float(x) for x in p.split()]

time = [float(x) for x in t.split()]

#pyt then values in a list

def partfthat(dist, time):

#initialize function that takes in two parameters

vel = []

#empty list to hold the calculated velocity values

i = 0

#indexer

while i <= len(dist)-2:

#while loop to iterate

v = (dist[i+1] - dist[i]) / (time[i+1] -time[i])

#Use the velocity formula

vel.append(v)

#append values to the empty list created

i+=1

return vel

print(avg_vel(dist, time))

A sample run of the program is attached.

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You work in an office that uses Linux and Windows servers. The network uses the IP protocol. You are sitting at a Windows workstation. An application you are using is unable to connect to a Windows server named FileSrv2. Which of the following commands would work BEST to test network connectivity between your workstation and the server?

a. arp
b. dig
c. tracert
d. nslookup
e. ping

Answers

Answer:

ping

Explanation:

its ping. im a computer science nerd :')

The _______ is responsible for fetching program instructions, decoding each one, and performing the indicated sequence of operations.

Answers

Answer: C P U Terms in this set (124) What is the CPU responsible for? Fetching program instructions, decoding each instruction that is fetched, and performing the indicated sequence of operations on the correct data.

Explanation:

The Central Processing Unit is responsible for fetching program instructions, decoding each one, and performing the indicated sequence of operations.

What is CPU?

A central processing unit, often known as a central processor, main processor, or simply processor, is the electrical circuitry that processes computer program instructions. The CPU executes fundamental arithmetic, logic, controlling, and input/output operations as provided by the program's instructions.

The CPU is in charge of all data processing. It keeps data, interim outcomes, and instructions saved (program). It controls how all computer components work.

Therefore, it can be concluded that The CPU is in charge of acquiring program instructions, decoding each one, and performing the prescribed series of actions on the proper data.

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Do you have any concerns or worries about how you will manage your course assignments or expectations? Your journal entry will only be seen by you and your instructor, so feel free to share any questions and worries you have.

Answers

Answer:

no worries at all.

yeah-ya..... right?


An engine that generates hot, expanding gases by burning fuel inside the machine.

Answers

Answer:

Piston engines, jet engines, and rocket engines all depend on the same basic principles to produce thrust. The engine mixes fuel with oxygen or another oxidizer in a combustion chamber. The mixture is ignited. The burning mixture creates hot, expanding gases.

Explanation:

PA BRAINLIEST

What are the steps to creating a text box? Use the drop-down menus to complete them.

1. Go to the
View
tab on the ribbon.

2. Click
.

3. Select any of the templates shown or
, which will open a blank text box.

4. Position the text box and adjust the text size, font, and color as desired.

Answers

Answer: The answers (in order) are

Insert

Text Box

Draw Text Box

Explanation: Just took the test on edgen, November 2021.

the reasons why business processes are necessary in a company

Answers

What is a business process?

Before knowing why they are necessary, let me explain what a business process is to be clear so you can understand a little bit more before I get to the meat. When a group of people work together to accomplish a certain goal, the process is called a "business process." A participant is assigned a task at each step of a business process. To put it another way, it serves as the foundation for several related concepts such as business progress management and process automation

The importance of a business process.

In big firms, having a business process is a must, and the advantages of doing so are immediately apparent. Organizations are made up of processes, which allow them to streamline and maximize the utilization of resources at the same time.

Reasons to have a well-defined business processIdentify which tasks are the most important to your larger business goalsImprove efficiencyStreamline communicationSet approvals to ensure accountability and an optimum use of resourcesPrevent chaos from lurking and lingering in your daily operationsStandardize a set of procedures to complete tasks that really matter to your business and tie it togetherReduction of risks from BPM softwareElimination of redundanciesMinimized costsImproved collaborationImproved productivity so that means more moneyHigher efficiencyHigher compliance

Answer:

Key reasons to have well-defined business processes

Identify what tasks are important to your larger business goals. Improve efficiency. Streamline communication between people/functions/departments. Set approvals to ensure accountability and an optimum use of resources.

What is the best data type for nationality field

Answers

Answer:

ISO Alpha-2 (two-letter country code) ISO Alpha-3 (three-letter country code) ISO Numeric (three-digit country code)

You are writing code to store the length of a side of a square. Which one is a good variable name

Answers

Answer:

Explanation:

Hi, pooop! i really like your username

In programming we should use camelcase whichLooksLikeThis because the capital letters are kind of like the back of a camel

so perhaps make the variable name:

lengthSquare

it looks like your question has multiple choice answers.. but i cant see them... so i just made up my own answer...

What type of database replication relies on centralized control that determines when replicas may be created and how they are synchronized with the master copy

Answers

Database replication is very common in this Era. Traditional database replication is relies on centralized control that determines when replicas may be created and how they are synchronized with the master copy.

Database replication  is known to be the constant electronic copying of data from a database using one computer or server that is connected also to a database in another . this ensure that all users do share the same level of information.

Replication is often done to technologies which are used for copying and distributing data and database objects from one database to another and thereafter use in synchronizing between databases.

Conclusively, Replicas can only be made in the Traditional database replication through the power of centralized control.

See full question below

What type of database replication relies on centralized control that determines when replicas may be created and how they are synchronized with the master copy?

a distributed database model

b. traditional database replication

c. enterprise replication

d. local database model

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If you were a hackathon team manager, how could you best address the conflict created by having more volunteers than open roles

Answers

There are various ways to resolve conflict. Addressing conflict by the  team manage is by:

Control conflict by expanding the resource base Eliminate conflict by assigning volunteers to another project team.

There are a lot of ways an individual can handle conflict. One of which is to expand the resource base.

Example: Supporting  team manager receives 4 budget requests for $150,000 each. If he has only $200,000 to distribute, there will be conflict at this stage because each group will believe its proposal is worth funding and will not be happy if not fully funded. So the best thing to do is to expand the resources allocated.

The right way to fix this conflict is to tell your volunteers in advance that some of them will not be doing different tasks etc.

See full question below

Capital One invites employees to work on special projects during hackathons. Employees can explore new technologies, rapidly push development forward, or just expand their network to include more colleagues interested in innovation. There's always the possibility that more employees want to participate in the hackathon than there are roles available. If you were a hackathon team manager, how could you best address the conflict created by having more volunteers than open roles? Control conflict by expanding the resource base. Eliminate conflict by assigning volunteers to another project team.Eliminate conflict by avoiding the volunteers. Stimulate conflict by making volunteers compete for the available roles.

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