Free Essay

Math133 Unit 5

In: Business and Management

Submitted By yani75
Words 604
Pages 3
MATH133 Unit 5 Individual Project – A

1) Describe the transformations on the following graph of f x= log( x) . State the placement of the vertical asymptote and x-intercept after the transformation. For example, vertical shift up 2 or reflected about the x-axis are descriptions.

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0


1 2 3 4 5 6 7 8 9 10

a) g(x) = log(x - 5)

Description of transformation: horizontal shift 5 units to the right

Equation(s) for the Vertical Asymptote(s): x-5=0 x=5

x-intercept in (x, y) form: o=log(x-5) 100=x-5

b) gx=- log x+ 2

Description of transformation: Vertical shift 2 units up, reflected about the x axis

Equation(s) for the Vertical Asymptote(s): x=o

x-intercept in (x, y) form:
-logx=-2 logx=2 x=102 x=100 (100,0)
2) Students in an English class took a final exam. They took equivalent forms of the exam at monthly intervals thereafter. The average score S(t), in percent, after t months was found to be given by

S(t) = 68 - 20 log (t + 1), t ≥ 0

a) What was the average score when they initially took the test, t = 0?

Answer: s0=68

Show your work in this space: s0=68-20 log (0+1)^0 20 log (0+1)^0 = 0 s0=68

b) What was the average score after 14 months?

Answer: s=44.48 Show your work in this space: s14=68-20log⁡(14+1) s14=68-20log15= s=44.48

c) After what time t was the average score 40%? Answer: t-24.12

Show your work in this space: 40=68-20log(t-1) -28=-20log(t-1) 1.4=log(t-1) T=24.12

3) The formula for calculating the amount of money returned for an initial deposit into a bank account or CD (certificate of deposit) is given by A=P1+YNNT

A  P1  r 
A is the amount of the return.
P is the principal amount initially deposited. r is the annual interest rate (expressed as a decimal). n is the number of compound periods in one year. t is the number of years.

Carry all calculations to six decimals on each intermediate step, then round the final answer to the nearest cent.

Suppose you deposit $3,000 for 6 years at a rate of 7%.

a) Calculate the return (A) if the bank compounds semi-annually. Round your answer to the nearest cent.

Answer: A=$4533.21 Show work in this space. Use ^ to indicate the power or use the Equation
Editor in MS Word. P=3,000 R=7% OR .07 N=2 Semi-annually T=6yrs

A=3,000(.07/2)^2(6) A=$4533.21

b) Calculate the return (A) if the bank compounds monthly. Round your answer to the nearest cent.

Answer: A= $177803.15 Show work in this space: P=3,000 R= .07 N=12 monthly T=6yrs A=3,0001+.071212(6) A=$4533.21

c) If a bank compounds continuously, then the formula used is where e is a A = Pe rt constant and equals approximately 2.7183.

Calculate A with continuous compounding. Round your answer to the nearest cent.

Answer: A=$4565.88

Show work in this space: P=3,000 e=2.7183 R= .07 T=6yrs
A=3000e.076 A=$4565.88…...

Similar Documents

Premium Essay

Unit 5

...could benefit from “smart” technologies? Describe one example not listed in the case. One good thing we can learn from installing smart grids into households is knowing that consumers will be willing to spend the amount of money for these smart technologies will make them become successful and business, which helps companies manage the smart grids. Just how a “smart” phone is like a computer inside a cellphone is the same way a smart grid will be with the electricity grid. There will be more two-way communication digitally and it allows consumers to adjust the electricity from a small device. Another big benefit is knowing the system is modernized and you don’t have to wait for utility workers to come out and fix your electricity. 5. Would you like your home and your community to be part of a smart grid? Why or why not? Explain. Yes. I wouldn’t mind me, or my community being part of a smart grid. It would definitely be good to know how much energy I use every month and help me make better decisions. The only challenge would be paying the expensive costs to get the smart grids installed, but a big investment like that would be worth it. If my smartphone can make things on my cellphone a lot easier, I don’t see why it wouldn’t do the same for my electric system in my house. Chapter 2, pg 77 1. What is Procter & Gamble’s business strategy? What is the relationship of collaboration and innovation to that business strategy? P&G’s business strategy has......

Words: 2332 - Pages: 10

Premium Essay

Unit 5

...UNIT 5 INDIVIDUAL PROJECT BUSN105 – Introduction to Business by La’Ketica T. Moore AIU Online April 22, 2013 Abstract In this unit I was asked to describe an organization basic legal, social, and economic environment. I am asked to describe the management structure and its operational and financial issues. Research and identify the impact of potential change factors including the role of technology. UNIT 5 IP Introduction The organization that will be discussed in this paper is healthcare this organization is important to this writer because it is her chosen field of employment. It is important to learn about healthcare because of all the recent changes to the law on a state, local, and federal level. This writer feels in order to learn about the healthcare regulations you need to learn about your rights as either a provider or as a patient. Basic Legal Environment The healthcare industry has come up on several changes over the past years that lead to lawsuits. Some of the legal issues that the healthcare has to deal with would be HIPPA which is the Health Insurance Portability and Accountability Act which protects the privacy of individually identifiable health information. OSHA assures the safe and healthful working of men and women by setting and enforcing standards and providing training, outreach, education and assistance. Patient documentation and communication which sparked the malpractice lawsuits over a decade ago, in keeping the patient......

Words: 841 - Pages: 4

Premium Essay

Unit 5

...Kelly McLoughlin PT1420 Week 1 Assignment 1 Review Questions 1. A( n) __________ is a set of instructions that a computer follows to perform a task. (B) Program 2. The physical devices that a computer is made of are referred to as __________. (A) Hardware 3. The part of a computer that runs programs is called __________. (D) Cpu 4. Today, CPUs are small chips known as __________. (B) Microprocessor 5. The computer stores a program while the program is running, as well as the data that the program is working with, in __________. (C) Main Memory 6. This is a volatile type of memory that is used only for temporary storage while a program is running. (A) RAM 7. A type of memory that can hold data for long periods of time— even when there is no power to the computer–– is called __________. ( C ) Secondary Storage 8. A component that collects data from people or other devices and sends it to the computer is called __________. (B) An Input Device 9. A video display is a( n) __________. (A) Output device 10. A __________ is enough memory to store a letter of the alphabet or a small number. (A) Byte 11. A byte is made up of eight __________. (D) Bits 12. In a( n) __________ numbering system, all numeric values are written as sequences of 0s and 1s. (B) Binary 13. A bit that is turned off represents the following value: __________. ( C ) 0 14. A set of 128 numeric codes that represent the English letters, various punctuation marks, and......

Words: 454 - Pages: 2

Premium Essay

Unit 5

...Unit 3 Coaxial cable is a cable that has an inner conductor surrounded by a tubular insulating layer, surrounded by a tubular conducting shield. Coaxial cables were designed to solve a problem with the transmission of high-frequency radio signalsCoaxial cable does not need optical conversion technology. | signal quality can be a problem in environments with very high levels of electrical noiseFaulty cable shielding can allow cross talk with data jumping from line to line. Because the cable is electrically conductive it makes equipment vulnerable to lightning damage. | Fiber optic cable transfer data via light waves. They are made from glass or plastic fibers in the core of the cable surrounded by a cladding layer and a buffer coating which protects the fibers from moisture and other damage Fiber optic data transmission is incredibly fast.Fiber optic cables can transmit data over exceptionally long distances without much data loss. | Fiber optic cabling can cost more than double what a typical broadband connection costs.Fiber optic connections are not available in many areas | Shielded twisted pair cables is an electrical cable of one or more insulated conductors enclosed by a common conductive layer Shielded twisted pair wires are less susceptible to electrical interference caused by nearby equipment or wires | it is physically larger and more expensive than twisted pair wireit is more difficult to connect to a terminating block | unshielded twisted......

Words: 304 - Pages: 2

Free Essay

Unit 5 Reseach Assignment speed in recent years, and version 1.5 offers some new features for making programming easier. 5. Perl was originally a file management language for Unix, but it has become well known for its use in CGI programming. CGI (Common Gateway Interface) is a term for programs that web servers can execute to allow web pages additional capabilities. Perl is great with regular expression pattern matching, which is a method for searching text. Perl can be used for databases and other useful server functions, and it is simple to pick up the basics if you have experience in any imperative language. Web hosting services prefer Perl over C++ as a CGI language because the web hosts can inspect Perl script files, since they're just text files, while C++ is compiled, so it can't be inspected for potentially dangerous code. Perl is, however, notorious for its "write once" style of code -- it's very easy to write Perl scripts taking advantage of lots of shortcuts that you later cannot understand. Five disadvantages: 1. Conclusion Global variables make it easy to share values between different parts of your Data Services jobs. However there are many potential issues and limitations with using global variables. The main issue with global variables is that they don’t allow for creating jobs based on componentised scripts and dataflows. This lack of componentisation impacts code reuse, unit testing, configuration management while at the same time makes your code more fragile as the global...

Words: 1233 - Pages: 5

Premium Essay

Discussion Board Unit 5

...Discussion Board Unit 5 Busn105/1304A Discussion Board Unit 5 Describe the challenges that most businesses face as a result of continually changing technology. What is a management’s role in addressing these challenges? Businesses have a lot of challenges keeping up with the newest technologies. Every day there are newer devices that are better and faster. Take the cell phone for instance, the newer cell phones like the blackberry or Nokia Windows are now able to conduct business and are able to send in reports. Technology has come a long way from desk top to laptop to ipads and now cell phones. Even the internet has come so far from dial up. Now you have wireless. Restaurants and hotels allow you to hook up to their internet. It’s a challenge for businesses to keep up. A lot of research goes into what would be better for businesses. Managers need to make sure that the new technology is going to be useful. They need to know that the transitions are not going to affect the business but make it better than it was. It’s definitely a huge job in keeping up with the changing technology and it’s a constant change and very costly too. The managers need to make sure that all personal is also learning the newest technology. Keeping up with changing technology affects everyone in the business. What types of information technology would increase production? Using programmed machines would increase production. Also, using computers and the internet...

Words: 411 - Pages: 2

Free Essay

Unit 5

...confide to all aspects of the polices and procedures in quick timing. Another negative about having all polices and procedure is that they are constantly being reviewed and updated which makes it difficulty to apply them within each particular case. Polices and procedures are very lengthy and usually written using very tequnical language which makes it difficult for individuals to understand and incorporate them into particular case. Polices and procedures can also have a negative affect on responses to suspected abuse cases as health and social care professionals may fear not compliding with all polices and procedure therefore may or may not act on things when needed. (Sources of the information used: Wikipedia) ----------------------- Unit 10 – caring for Children and young people Molly Harvey Pass...

Words: 2104 - Pages: 9

Premium Essay

Unit 5 Bio Notes

...A2 Biology Unit 5 page 1 AQA A2 Biology Unit 5 Contents Specification Human Nervous system Nerve Cells The Nerve Impulse Synapses Receptors Muscle Animal Responses Control of Heart Rate The Hormone System Homeostasis Temperature Homeostasis Blood Glucose Homeostasis Control of Mammalian Oestrus Plant Responses The Genetic Code Protein Synthesis Gene Mutations Stem Cells Control of Gene Expression Biotechnology DNA sequencing Southern Blot In vivo cloning Genetically Modified Organisms Gene Therapy Genetic Screening and Counselling 2 4 6 0 14 17 24 28 30 33 34 38 42 44 48 50 54 57 63 66 71 76 80 85 89 92 Molecular Genetics These notes may be used freely by A level biology students and teachers, and they may be copied and edited. Please do not use these materials for commercial purposes. I would be interested to hear of any comments and corrections. Neil C Millar ( Head of Biology, Heckmondwike Grammar School High Street, Heckmondwike, WF16 0AH Jan 2010 HGS Biology A-level notes NCM 8/09 A2 Biology Unit 5 page 2 Biology Unit 5 Specification Control Systems Organisms increase their chance of survival by responding to changes in their environment. The Nerve Impulse The structure of a myelinated motor neurone. The establishment of a resting potential in terms of differential membrane permeability, electrochemical gradients and the movement of sodium and potassium ions. Changes in membrane permeability lead to depolarisation and......

Words: 26586 - Pages: 107

Premium Essay

Unit 5

...maps can be drawn by hand, either as "rough notes" during a lecture or meeting, for example, or as higher quality pictures when more time is available. Diagrams that visually map information using branching and radial maps trace back centuries. These pictorial methods record knowledge and model systems, and a long history in learning, brainstorming, memory, visual thinking, and problem solving by educators, engineers, psychologists, and others. Some of the earliest examples of such graphical records were developed by Porphyry of Tyros, a noted thinker of the 3rd century, as he graphically visualized the concept categories of Aristotle. Philosopher Ramon Llull (1235–1315) also used such techniques (Willis). A mind map contains that following 5 elements. The main idea, subject or focus is crystallized in a central image. The main themes radiate from the central image as 'branches'. The branches comprise a key image or key word drawn or printed on its associated line. Topics of lesser importance are represented as 'twigs' of the relevant branch. The branches form a connected nodal structure.(Buzan) BIBLIOGRAPHY 'Mind maps as active learning tools', by Willis, CL. Journal of computing sciences in colleges. ISSN: 1937-4771. 2006. Volume: 21 Issue: 4, Note-taking That Litera...

Words: 333 - Pages: 2

Premium Essay

Unit 5

... Establish a sense of urgency. Leaders within an organization should work to inspire members to sense that change is necessary. Leaders should call upon members of the organization to cooperate and appeal to their shared values at this stage. * 2. Form a powerful guiding coalition. At this stage, leaders create a unified team of people who can lead the change effort. Leaders should choose members who have credibility and expertise in the eyes of employees. * 3. Create a vision and strategies for putting that vision into practice. A statement of vision for change should be easy for employees to understand. * 4. Communicate the vision. Leaders should communicate and reinforce the vision through daily activities and actions. * 5. Empower others to act on the vision. Employees must be encouraged to take risks and engage in nontraditional activities and ideas. * 6. Plan for and create short-term successes. The guiding coalition can help plan for and create short-term successes by setting concrete, achievable goals and mapping out clear ways to achieve them. * 7. Don't let up. Kotter cautions leaders not to let up when results begin to show, but rather to add more projects, empower more employees to help with change, and expand change efforts. * 8. Institutionalize new approaches. New practices should be made a part of the organization's culture. Leaders may accomplish this by communicating the connection between the new behaviors and organizational......

Words: 351 - Pages: 2

Premium Essay

Unit 5 Assignment 2

...Unit 5 Assignment 2 Ethernet Local Area Networks Review PT1210 Introduction to Networking Christopher B. Young ITT Tech – Tempe Campus Instructor: Mr. Larry Douglas Oct 16, 2015 1.C | 11.C | 2.D | 12.C | 3.B | 13.C | 4.A | 14.A | 5.B | 15.A | 6.E | 16.A | 7.D | 17.D | 8.A | 18.C | 9.A | 19.B | 10.A | 20.C | Ethernet LAN: A collection of devices including user devices, LAN switches, routers, old hubs and cables all of which use IEEE Ethernet standards at the physical and data link layers so that the devices can send Ethernet frames to each other 802.3: The name of the original IEEE Ethernet standard as well as the overall base name of all IEEE Ethernet LAN working committees Fast Ethernet: The informal name for one particular Ethernet standard originally defined formally as 803.3u which was the first Ethernet Standard to surpass the original 10-Mbps speed to run at 100 Mbps. Gigabit Ethernet: The informal name for one particular Ethernet standard defined formally in 802.3z(for fiber) and 802.3ab(for UTP) with a speed of 1 Gbps Autonegotiation: A process defined by the IEEE so that nodes on the same etherent link can exchange messages for the purpose of choosing the best speed and duplex option that both nodes support Ethernet Frame: The bytes of data that flow in an Ethernet LAN which begins with the Ethernet header followed by data and ends with the Ethernet trailer. Ethernet LANs deliver Ethernet frames from one Etherent device to......

Words: 327 - Pages: 2

Free Essay

Gov Unit 5 Paper

...Unit 5 Homework Assignments Worth 45 Pts. Total *Review Terms From Unit 1, 2, 3 & 4* 2nd Amendment Establishment Clause Hecklers Veto Probable Cause Schenk v. US/Clear & Present Danger Free Exercise Clause Exclusionary Rule Defamation Double Jeopardy Miranda v. AZ/Self Incrimination Due Process 6th Amendment Grand Jury Indictment Habeas Corpus Swing Justice Original vs. Appellate Jurisdiction Marbury v. Madison/Judicial Review 4th Amendment 8th Amendment Stare Decisis/Precedent Article I Article II 1st Amendment 10th Amendment Article III Eminent Domain 5th Amendment Arraignment Judicial Activism vs. Restraint Gideon v. Wainwright 7th Amendment Civil Law/Tort Law Criminal & Civil Negligence Federal & State District Courts Beyond a Reasonable Doubt 14th Amendment Preponderance of Evidence Majority Opinion of Supreme Crt Federalism Reserved Powers Police Powers Enumerated Powers Griswold v. Connecticut (1965) Roe v. Wade (1973) Commerce Clause McCulloch v. Maryland (1819) Supremacy Clause Necessary & Proper Clause Civil Liberties v. Civil Rights Incorporation Doctrine Brown v. Board of Education (1954) Party Primary General Election Closed Primary Open Primary Caucus Electoral College Gerrymandering Advise & Consent Filibuster & Cloture Speaker of the House Senate Majority Leader Standing Committee Conference Committee Pork......

Words: 2362 - Pages: 10

Premium Essay

Unit 5

...PUBLIC SERVICES LEVEL 3 – 2016 UNIT 5 Part 1 – PHYSICAL PREPARATION NAME: Rohan Monsy (11024319) Unit 5 - Assessment and grading criteria | To achieve a pass grade the evidence must show that the learner is able to: | To achieve a merit grade the evidence must show that, in addition to the pass criteria, the learner is able to: | To achieve a distinction grade the evidence must show that, in addition to the pass and merit criteria, the learner is able to: | P1 describe a fitness assessment for each of the major components of fitness | M1 explain the results of the fitness assessment and measure against relevant public service entrance test | D1 evaluate results of the fitness assessment, analyse strengths and recommend improvements | P2 describe the structure and function of the muscular-skeletal,cardiovascular and respiratory systems | | | P3 undertake a fitness activity,record and identify the short-term effects of exerciseon the major human bodysystems | M2explain the short and long term effects of exerciseon the major human bodysystems | | P4 describe the lifestyle factors that can affect health | M3explain the effects ofidentified lifestyle factors onhealth and fitness, whenapplying for public service and long-term employment | D2Evaluate the effects ofidentified lifestyle factors onhealth and fitness, whenapplying for public service and long-term employment | P5 Provide lifestyle improvement strategies that can have a positive effect on health | M4Explain......

Words: 2802 - Pages: 12

Premium Essay

Unit 5

...individuals and the nation, using selected examples. | |Discuss how different types of health promotion are used to benefit the health and wellbeing of individuals and the nation, using selected | | |examples. | | M1/D1 Unit 5 |Name & type of Health promotion |Describe what it shows [Effect of alcohol & impact of alcohol] |What message is it trying to promote? |How could this benefit the individual? |How could this benefit the nation? |Is this an effective promotion? | |[E.g. leaflet/poster/video] | | | | |Explain your answer giving some examples of statistics | |Reference | ......

Words: 1717 - Pages: 7

Premium Essay

Unit 5

...IT113 Unit 5 Homework Chapter 6 1. What are the 3 basic tools required to install a plug for UTP cable? A. Stripper (the wire kind), wire cutter, cable crimper 2. What type of fiber-optic tester should you purchase to make sure the fiber-optic cable was installed without any fault and that enough light is being transmitted through the fiber, and what are the three key attributes to know before you purchase a tester? A. You want the tester to have the capability for correct fiber connectors, support the correct type of fiber (single vs. multi mode) and test appropriate wavelength. You should purchase an attenuation tester since you are testing for the power of the light transmission. 3. Which of the following supplies enables the reduction of friction on the cables while being pulled? A. Wire pulling lubricant Chapter 9 1. What are the main aspects that must be addressed when designing and installing wall plates? A. Fixed or modular design wall plate, wall plate location, manufacturer system, and wall plate mounting system. 2. Which TIA standards should you refer to for ensuring proper design and installation of wall plates? A. Residential is ANSI/TIA-570-B, Commercial is ANSI/TIA-568-C.1 3. Your commercial office building environment is expected to change over the next few years as some of the network devices that are presently installed with coax connections need to be converted to RJ-45 and some network devices that are currently RJ-45 connections may......

Words: 408 - Pages: 2

1x10 La verdad sobre el caso Harry Quebert | Other Business & Industrial | For Xiaomi Mi Band 3 Strap Bande Wristband Watch Replacement Bracelet Accessorie