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

Answers

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

When you create a _____ query, the value the user enters in the dialog box determines which records the query displays in the results. a. parameter

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When a parameter query is created, the value entered in a dialog box by an end user determines the record that would be displayed in the results.

A query refers to a computational request for data (information) that are saved either in a database table, from existing queries, or from a combination of both a database table and existing queries.

Basically, there are four (4) main types of query and these include:

Select query.Action query.Aggregate query.Parameter query.

A parameter query is designed and developed to display a dialog box that prompts an end user for data or field criteria, which determines the record that would be displayed in the results.

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What's computer hardware ​

Answers

the physical components that a computer system requires to function

hope it helps

Computer hardware includes the physical parts of a computer, such as the case, central processing unit, monitor, mouse, keyboard, computer data storage, graphics card, sound card, speakers and motherboard. By contrast, software is the set of instructions that can be stored and run by hardware.

discuss the communicatin process giving detailed explanation on each process​

Answers

Communications is fundamental to the existence and survival of humans as well as to an organization. It is a process of creating and sharing ideas, information, views, facts, feelings, etc. among the people to reach a common understanding. Communication is the key to the Directing function of management.

A manager may be highly qualified and skilled but if he does not possess good communication skills, all his ability becomes irrelevant. A manager must communicate his directions effectively to the subordinates to get the work done from them properly.

Communications Process

Communications is a continuous process which mainly involves three elements viz. sender, message, and receiver. The elements involved in the communication process are explained below in detail:

1. Sender

The sender or the communicator generates the message and conveys it to the receiver. He is the source and the one who starts the communication

2. Message

It is the idea, information, view, fact, feeling, etc. that is generated by the sender and is then intended to be communicated further.

Browse more Topics under Directing

Introduction, Meaning, Importance & Principles of DirectingElements of DirectionIncentivesLeadership

3. Encoding

The message generated by the sender is encoded symbolically such as in the form of words, pictures, gestures, etc. before it is being conveyed.

4. Media

It is the manner in which the encoded message is transmitted. The message may be transmitted orally or in writing. The medium of communication includes telephone, internet, post, fax, e-mail, etc. The choice of medium is decided by the sender.

5. Decoding

It is the process of converting the symbols encoded by the sender. After decoding the message is received by the receiver.

6. Receiver

He is the person who is last in the chain and for whom the message was sent by the sender. Once the receiver receives the message and understands it in proper perspective and acts according to the message, only then the purpose of communication is successful.

7. Feedback

Once the receiver confirms to the sender that he has received the message and understood it, the process of communication is complete.

8. Noise

It refers to any obstruction that is caused by the sender, message or receiver during the process of communication. For example, bad telephone connection, faulty encoding, faulty decoding, inattentive receiver, poor understanding of message due to prejudice or inappropriate gestures, etc.

True or False. When FTP users authenticate with an FTP server, the sign-in process can be decoded by a protocol analyzer or network sniffer software.

Answers

The File Transfer Protocol is commonly called FTP. FTP users authenticate with an FTP server, the sign-in process can be decoded by a protocol analyzer or network sniffer software is a true statement.

There are some element that often specifies the authentication settings for FTP sites. The authentication settings are known to be wired or configured at only the site-level. They can also be configured per URL.

The File Transfer Protocol (FTP) is known simply as a standard communication protocol that is often employed for the movement of computer files from a server to a client using a computer network.

It uses the client–server model architecture via different control and data connections between the client and the server.

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We can find out how robots work by looking in detail at the smaller parts. What do we call this?

Answers

Answer: This can be called the engineering.

Explanation:

Because the small parts is the bearings inside the robot

Write a python function to compute a certain number to a given power. The program should continue asking the user for number and power and display the result until the user enters 0 as the number. Note: don't use the power function of Python. Compute the power using a for or a while loop.

Answers

while True:

   number = int(input("input the number: "))

   exponent = int(input("input the exponent : "))

  if number == 0:

       break

   else:

       result = 1

       while exponent != 0:

           result *= number

           exponent-=1

       print("Answer = " + str(result))

   

we are asked not to use the power function of python. The question wants us to use a for or a while loop to compute the power.

The while loop makes sure the user is always asked to input the number and an exponent.

If the users number equals 0, the while loop will break.

Else the code will find the power of the number.

Finally, we print the answer if the user number is not zero

The bolded part of the code are python keywords.

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What are two drawbacks of using netbook ?

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Answer: They are becoming obsolete and they are usually low-performance. Also a 32-bit system.

Would appreciate brainly <3

Answer:

Laptop computers are difficult to repair, upgrade or modify due to their closed and integrated design. While storage drives and RAM are usually accessible because these are the things you will most likely upgrade, it is often difficult to modify or replace your CPU, graphics chip or motherboard. These jobs will usually require professional equipment and tools–or a hired professional technician. Additionally, while in a desktop computer the possible configurations are almost unlimited, laptop configurations are limited to those provided by laptop manufacturers. Some software may also be incompatible with laptop hardware, and installations of different operating systems than those bundled with the laptop may result in hardware failures.

Your company is building a new architecture to support its data-centric business focus. You are responsible for setting up the network. Your company's mobile and web-facing applications will be deployed on-premises, and all data analysis will be conducted in GCP. The plan is to process and load 7 years of archived .csv files totaling 900 TB of data and then continue loading 10 TB of data daily. You currently have an existing 100-MB internet connection. What actions will meet your company's needs

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The actions will meet your company's needs is to Lease a Transfer Appliance, upload archived files to it, and send it to oogle to transfer archived data to Cloud Storage.

Data centric is simply known to be an architecture where data is said to be of primary and permanent asset, and applications is temporary.

Businesses is all about functionality, and as such, firms often buys or build application systems.

Each application system is known to have its own unique data model, and its code is often linked with the data model used.

Conclusively, Transferring large datasets needs manpower that is the right team, planning early, and testing your transfer plan before its use.

 

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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.

#include
void main()
{
int m=45,first,last;
first=m/10;
last=m%10;
printf("%d",first);//line 1
printf("\n%d",last);//line 2
printf("\nSum=%d",first*last);//line 3
printf("\n%d",first*last);//line 4
printf("\n%d",last*last);//line 5
printf("\nCube=%d",first*first*first);//line 6
}


Select the correct output for line 1 ~
1 point
4
5
0

Answers

Answer:

4

Explanation:

45 divided by 10 using integer division is 4

I ran the program, output is below.

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

Answers

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

Answer: the pireod .

Explanation:

I love dogs & cats.

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It is called a camera stabilizer.
I hope this helped :)

Leon wants an output from his tablet. What should he look at? A. the memory chip B. the processor C. the screen D. the power button

Answers

Answer:

he should look at the screen

Answer:

C. The screen

Explanation:

got it on edge

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Answer:

true

Explanation:

in the dictionary they mean the same thing

What does “The Principle of Least Privilege” mean as applied to security?

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Answer:

The principle of least privilege (PoLP) refers to an information security concept in which a user is given the minimum levels of access – or permissions – needed to perform his/her job functions. ... Least privilege enforcement ensures the non-human tool has the requisite access needed – and nothing more.

Explanation: let me know if this helps!

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Answer: the examples of analog computer is voltmeter

Example of digital computer is tablet,mobile etc

Example of hybrid computer is digital meters used nowadays in cars etc

What is the best data type for traveling day?

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here if its wrong sorry

You arrive at your first client meeting with Jaba's Smoothie Hut. Jaba's owner, Kim, has asked you to install a Wi-Fi network for his customers. Kim has told you that the store needs the following:

Dedicated internet service with enough bandwidth to meet customer demand and run the store.
Be cost effective (Kim does not want the most expensive or the cheapest).
Customers will use Wi-Fi and the business will have 5 wired connections

Select the correct package for the Jaba's Smoothie Hut:

a. 20 Mbps service with 1 modem/Router, a 16 port switch, and 1 wireless access point
b. 100 Mbps service with 1 Modem/Router, a 24 port switch, 3 wireless access points (1 for office, 1 for retail, and 1 for outside)

Answers

The correct package which can be used to set up the Jaba's Smoothie Hut so that there would be dedicated internet service with enough bandwidth to meet customer demand and run the store is:

b. 100 Mbps service with 1 Modem/Router, a 24 port switch, 3 wireless access points (1 for office, 1 for retail, and 1 for outside)

According to the given question, we are asked to show the correct package which can be used to set up the Jaba's Smoothie Hut so that there would be dedicated internet service with enough bandwidth to meet customer demand and run the store

As a result of this, we can see that when using wireless networks (WiFi), there is a necessity to make use of a fast 100 Mbps service so that the connection would have sufficient bandwidth to meet the needs of the store and customers.

Therefore, the correct answer is Option B

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What are the three algorithm constructs?

Answers

Answer:

The algorithm constructs are sequence, decision/selection and repetition.

Explanation:

The three algorithm constructs in C are?

Sequence.Selection.Iteration.

What are three algorithm constructs?

There are known to be 3 basic constructs in an algorithm. They are:

Linear SequenceConditionalLoop

Note that  an algorithm is a combination of instructions for handling a problem or fulfilling a task.

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#SPJ2

What is the full form of MPEG? The full form of MPEG is blank.

Answers

Answer:

Moving Picture Experts Group

Explanation:

Answer:

The full form of MPEG is Moving Picture Experts Group.

Explanation:

MPEG is a group of working experts to determine video or audio encoding and transmitting specifications/standards.

please help!!!! what is the meaning of M,I,C,R,O,S,O,F,T word?
M-
I-
C-
R-
O-
S-
O-
F-
T-​

Answers

Answer:

Microsoft (the word being a portmanteau of "microcomputer software") was founded by Bill Gates and Paul Allen on April 4, 1975, to develop and sell BASIC interpreters for the Altair 8800. It rose to dominate the personal computer operating system market with MS-DOS in the mid-1980s, followed by Microsoft Windows

Explanation:

if you need full answer this is it

Sarah was recently reviewing all the photos that she has saved on her computer and was shocked to find that she has over 10,000 images. Thankfully, digital photography will allow her to rearrange, organize, and easily search within her photos. What types of tasks are these?

A.
image evolution

B.
image formatting

C.
image editing

D.
image management

Answers

Answer:

D

Explanation:

image management

The type of task that allows Sarah to rearrange, organize, and easily search within her photos is known as Image management. Thus, the correct option for this question is D.

What do you mean by image management?

Image management may be characterized as a type of feature that allows a user to store, organize, centralize, and distribute digital images, assets, and graphics that are automatically saved in the computer. It also evaluates and enhances your image with respect to the perception of others.

According to the context of this question, image formatting nay deals with the file formatting for a digital image such as JPEG, PNG, GIF, etc. Image editing encompasses the process and strategy of acquiring alteration in the image with respect to a user.

Therefore, image management is the task that allows Sarah to rearrange, organize, and easily search within her photos. Thus, the correct option for this question is D.

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Answers

While natural language understanding focuses on computer reading comprehension, natural language generation enables computers to write. NLG is the process of producing a human language text response based on some data input. This text can also be converted into a speech format through text-to-speech services.

- BRAINLIEST answerer

what is the difference between information poor and information rich

Answers

Answer:

The “Information poor” are consumers who use traditional mass media information such as television, DVDs, radios and magazines. ... On the opposite “information rich” stands for a new elite within the information society.

Explanation:

Why does a computer need an operating system?

Answers

Answer:

An operating system helps it to manage and run its designed duties.

If it lacks an operating system, it wouldn't be able to work

Design a chip that can complete four bit binary addition, subtraction, and, or operation. Complete the Verilog program and show simulation on Modelsim software , write the program list and screenshot of simulation results.

Answers

Answer:

How am I supposed to design a chip here?

Explanation:

The capability of moving a completed programming solution easily from one type of computer to another is known as ________. Group of answer choices

Answers

Answer: Portability

Explanation: I hope it helps you!

HELP ME ILL GIVE BRAINLY Input 50 numbers and then output the average of the negative numbers only. Write in pseudocode!

Answers

Answer:

The explanation is for 10 inputs though. You'd have to follow these steps to find input 50 numbers.

Explanation:

This is how I wrote it in the Plain English programming language which looks like pseudo-code but compiles and runs (to save you all the rest of the steps):

To run:

Start up.

Write "Enter 10 numbers separated by spaces: " on the console.

Read a reply from the console.

Loop.

If the reply is blank, break.

Get a number from the reply.

Add 1 to a count.

Add the number to a total.

Repeat.

Write "The total is: " then the total on the console.

Put the total divided by the count into an average.

Write "The average is: " then the average on the console.

Refresh the screen.

Wait for the escape key.

Shut down.

Imagine that you have an image that is too dark or too bright. Describe how you would alter the RGB settings to brighten or darken it. Give an example.

Answers

turn the brightness up

A large company pays its salespeople on a commission basis. The salespeople receive $900 per week, plus 8.75 percent of their gross sales for that week. For example, a salesperson who sells $10000 worth of merchandise in a week receives $900 plus 8.75 percent of $10000, or a total of $1775. You have been supplied with a list of the products sold by each salesperson. The values of these products are as follows:
Item Value
1 100
2 200
3 300
4 400
Develop a script that inputs one salesperson’s items sold for last week, calculates the salesperson’s earnings and outputs HTML5 text that displays the salesperson’s earnings.

Answers

Answer:

Explanation:

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