Math Exercises Problem Example | Topics and Well Written Essays - 1000 words

Activities - Math Problem Example 1 A firm makes and sells q units of an item at cost =  £(575 † ½ q) which has unit expenses of  £(q2 †25q) and fixed expenses of  £45,000. (a) Write down articulations for: income, benefit and normal expense as far as output(q) of the firm. [1 mark] Income = (575 † ½ q ) q = 575q † ½ q2 Benefit = Revenue †Total Cost = 575q † ½ q2 - [(q2 †25q )q +45,000] = 575q † ½ q2 †q3 + 25q2 - 45,000 = †q3 + 24.5q2 + 575q - 45,000 Normal Cost = Total Cost/q = q2 †25q + 45,000/q (b) Find articulations for: negligible income, peripheral cost, minor benefit and minimal normal expenses regarding yield (q). [2 marks] Peripheral Revenue, Marginal Cost, Marginal Profit and Marginal Average Costs is the subordinate of Revenue, Cost, Profit, Average Costs . Since the subordinate of f(x) = xn is nxn-1, we have: Minor Revenue = 575 †q Minor Cost = 3q2 - 50q Minor Profit = - 3q2 + 49q +575 Minor Average Cost = 2q †25 - 45,000/q2 (since 1/q = q-1) (c) Find the yield levels of the firm that and affirm that the yield levels found do to be sure expand or limit these functions [ 1 mark] (i) Maximise income †¢ This is the diagram of Revenue = 575q † ½ q2 , we can see that it is expanded at q = 575. (ii) Minimise costs To limit costs, set minor expenses to 0 q = 50/3 or approx 17 units This is the chart of Costs = q3 - 25q2 + 45,000. We can see that the limit esteem is around at q =17. (iii) Maximize benefits To boost benefits, set minor benefits to 0 - 3q2 + 49q +575 = 0 Utilizing the quadratic recipe, we have: q = 23.23 , - 7.89 Ignoring the negative worth, we have: q = 23 units. This is the chart of Profit = - q3 + 24.5q2 + 575q - 45,000. We can see that the greatest worth is around at q=23. (iv) Minimize normal expenses To limit normal costs, set peripheral normal expenses to 0: 2q - 25 - 45,000/q2 = 0 (multiply the two sides by q2) 2q3 - 25q2 - 45,000 = 0 With the utilization of experimentation, we get the main conceivable incentive as: q = 33 units. This is the diagram of Average Cost = q2 - 25q + 45,000/q. We can see that the most extreme worth is roughly at q=33. 2. The interest work for an item is given by the accompanying articulation: q = 25 + 200 (p - 2) (a) Calculate the interest at costs 3 and 7 [1/2 imprint ] For p = 3: q = 25 + 200 (3 - 2) q = 25 + 200 q = 225 For p = 7: q = 25 + 200 (7 - 2) q = 25 + 40 q = 65 Answer in (Q,P) structure: (225,3), (65,7) (b) Calculate the ARC versatility of interest regarding cost between the costs given to some extent (an) and remark on whether request is versatile or inelastic between these prices. [1/2 mark] Earc = (Q2-Q1)/[(Q2+Q1)/2] (P2-P1)/[(P2+P1)/2] Earc = (65-225)/[(65+225)/2] (7-3)/[(7+3)/2] Earc = - 160/145 4/5 Earc = - 40 = - 1.38 29 Since a versatile great is the place value flexibility of interest is more prominent than one, we can consider that the interest is versatile between these costs. (c) Find an articulation for POINT versatility of interest with deference to cost regarding price. [ 1 mark] Ept = (q/p) * p/q The subordinate of q = 25 +200/(p-2) is q/p = 0 + - 1 (200) (p-2)- 2 Also, q = 25 +200/(p-2) Henceforth: Ept = [-200p/(p-2)2]/[25 +200/(p-2)] (d) Calculate POINT versatility of interest at costs 3 and 7 and remark on their qualities and on the connection between Circular segment and POINT elasticity [1/2 mark] Ept = [-200p/(p-2)2]/[25 +200/(p-2)] Ept (3) = (- 600/1)/225 = - 2.67 Ept (7) = - 56/65 = - 0.862 The estimation of circular segment flexibility is in the middle of the estimation of point versatility which is normal

History of the Lewis and Clark Expedition

History of the Lewis and Clark Expedition On May 14, 1804, Meriwether Lewis and William Clark left from St. Louis, Missouri with the Corps of Discovery and traveled west with an end goal to investigate and report the new terrains purchased by the Louisiana Purchase. With just a single demise, the gathering arrived at the Pacific Ocean at Portland and afterward returned back to St. Louis on September 23, 1806. The Louisiana Purchase In April 1803, the United States, under President Thomas Jefferson, bought 828,000 square miles (2,144,510 square km) of land from France. This land procurement is regularly known as the Louisiana Purchase. The grounds remembered for the Louisiana Purchase were those west of the Mississippi River yet they were to a great extent unexplored and in this manner totally obscure to both the U.S. what's more, France at that point. Along these lines, not long after the acquisition of the land President Jefferson mentioned that Congress support $2,500 for an exploratory endeavor west. Objectives of the Expedition When Congress endorsed the assets for the campaign, President Jefferson picked Captain Meriwether Lewis as its pioneer. Lewis was picked chiefly in light of the fact that he previously had some information on the west and was an accomplished Army official. Subsequent to making further courses of action for the undertaking, Lewis chose he needed a co-commander and chose another Army official, William Clark. The objectives of this campaign, as sketched out by President Jefferson, were to consider the Native American clans living in the zone just as the plants, creatures, topography, and landscape of the district. The undertaking was likewise to be a conciliatory one and help in moving control over the terrains and the individuals living on them from the French and Spanish to the United States. Moreover, President Jefferson needed the endeavor to locate an immediate conduit toward the West Coast and the Pacific Ocean so westbound extension and business would be simpler to accomplish in the coming years. The Expedition Begins Lewis and Clarks campaign authoritatively started on May 14, 1804, when they and the 33 other men making up the Corps of Discovery left from their camp close St. Louis, Missouri. The main bit of the undertaking followed the course of the Missouri River during which, they went through spots, for example, present-day Kansas City, Missouri, and Omaha, Nebraska. On August 20, 1804, the Corps encountered its solitary loss when Sergeant Charles Floyd passed on of an infected appendix. He was the first U.S. trooper to kick the bucket west of the Mississippi River. Not long after Floyds passing, the Corps arrived at the edge of the Great Plains and saw the territories a wide range of animal categories, the greater part of which were different to them. They likewise met their first Sioux clan, the Yankton Sioux, in a quiet experience. The Corps next gathering with the Sioux, be that as it may, was not as serene. In September 1804, the Corps met the Teton Sioux further west and during that experience, one of the boss requested that the Corps give them a vessel before being permitted to pass. At the point when the Corps cannot, the Tetons undermined savagery and the Corps arranged to battle. Before genuine threats started however, the two sides withdrew. The First Report The Corps endeavor at that point effectively proceeded upriver until winter when they halted in the towns of the Mandan clan in December 1804. While holding up out the winter, Lewis and Clark had the Corps assembled Fort Mandan close to introduce day Washburn, North Dakota, where they remained until April 1805. During this time, Lewis and Clark composed their first report to President Jefferson. In it, they chronicled 108 plant species and 68 mineral sorts. After leaving Fort Mandan, Lewis and Clark sent this report, alongside certain individuals from the campaign and a guide of the U.S. moved by Clark back to St. Louis. Isolating A short time later, the Corps proceeded with the course of the Missouri River until they arrived at a fork in late May 1805 and had to separate the endeavor to locate the genuine Missouri River. In the long run, they discovered it and in June the undertaking met up and crossed the streams headwaters. Presently the Corps showed up at the Continental Divide and had to proceed with their excursion riding a horse at Lemhi Pass on the Montana-Idaho verge on August 26, 1805. Arriving at Portland Once over the partition, the Corps again proceeded with their excursion in kayaks down the Rocky Mountains on the Clearwater River (in northern Idaho), the Snake River, lastly the Columbia River into what is available day Portland, Oregon. The Corps at that point, finally, arrived at the Pacific Ocean in December 1805 and assembled Fort Clatsop on the south side of the Columbia River to hold up out the winter. During their time at the stronghold, the men investigated the region, chased elk and other natural life, met Native American clans, and arranged for their excursion home. Coming back to St. Louis On March 23, 1806, Lewis and Clark and the remainder of the Corps left Fort Clatsop and started their excursion back to St. Louis. When arriving at the Continental Divide in July, the Corps isolated for a short time so Lewis could investigate the Marias River, a tributary of the Missouri River. They at that point rejoined at the intersection of the Yellowstone and Missouri Rivers on August 11 and came back to St. Louis on September 23, 1806. Accomplishments of the Lewis and Clark Expedition In spite of the fact that Lewis and Clark didn't locate an immediate conduit from the Mississippi River to the Pacific Ocean, their endeavor brought an abundance of information about the recently bought arrives in the west. For instance, the endeavor gave broad realities on the Northwests regular assets. Lewis and Clark had the option to record more than 100 creature species and more than 170 plants. They additionally brought back data on the size, minerals, and the geography of the zone. Moreover, the undertaking built up relations with the Native Americans in the district, one of President Jeffersons fundamental objectives. Beside the showdown with the Teton Sioux, these relations were to a great extent quiet and the Corps got broad assistance from the different clans they met in regards to things like food and route. For geological information, the Lewis and Clark undertaking gave far reaching information about the geology of the Pacific Northwest and delivered in excess of 140 maps of the district. To peruse increasingly about Lewis and Clark, visit the National Geographic site committed to their excursion or read their report of the campaign, initially distributed in 1814.

Reviewing SAT Practice Test 4 Essays

Reviewing SAT Practice Test 4 EssaysIn this brief article, I will share a couple of helpful resources that I found useful for reviewing SAT practice test 4 essays. While there are a number of sites that claim to provide study materials to help you ace your practice test, there is very little that will be of assistance in this situation.In my experience, the best practice tests to use in preparation for the SAT test include the 2020 practice test and the College Board SAT practice test. The two that I suggest is to not only review SAT practice test 4 essays, but also utilize the additional components that can be found on these two tests.The College Board SAT practice test has an essay writing section, which many students find valuable. When used, the essay samples tend to help students be able to answer the questions more confidently, making their answers more relevant.The College Board SAT practice test also provides a multiple-choice section. This will help you make your best guess at your highest scoring answer and will provide a good idea of the amount of time you will have to research and come up with that answer.In addition to using these two resources, it may be a good idea to utilize the SAT essay samples provided in the SAT test. The essays are important because it gives you a chance to evaluate your skills as well as how you respond to questions when preparing for the exam.I think that it is very important that you check your worksheet before taking the SAT practice test and review the essay sample and its answers when you have finished. This will give you the best opportunity to understand exactly what the answers are based on the information that you need.Another tip for reviewing SAT practice test is to spend more time analyzing the essay samples before you take the actual exam. Since there are many types of essay samples, as well as different levels of difficulty, it will be good to spend some time reviewing the sample and then examine the essay an d its answers carefully.Again, these are just a couple of tips that you may find useful for reviewing SAT practice test 4 essays. There are a number of resources available that will help you get the most out of your SAT prep, but make sure to check them out.

National Response Plan Howard L. Hayes Saint Leo University

National Response Plan Howard L. Hayes Saint Leo University Abstract Why is it necessary for our country to have an effective emergency plan in place? Why does it matter how the country responds to emergencies when every part of our country, including cities and states, face emergency situations on a daily basis all over? Some are bad to worse, and some horrific to deadly. Well, this paper explains the importance of the National Response Plan and why it is necessary for our country to have it in place. It explores several articles that have been published to show the results on the effectiveness and response of the National Response Plan. The National Response Framework, previously called The National Response Plan, is a plan that the United States put in effect to organize the way the country and the community handles attacks, disasters, as well as all events looked at as an emergency. The Response Plan relays and describes all the information in order to avoid catastrophic damages and to protect and save lives. The plan focuses on how the country as a whole can work together to prepare for damaging events. Morover, the plan doesn t always seem to be effective as it is expected to be. Issues arose at the time it is most needed, which causes necessary changes to take effect immediately. Sometimes the damage is already done and that could be due to economic collapse, being unprepared, and failure to respond appropriately. The National Response Framework replaced the NationalShow MoreRelatedNational Response Pl An Effective Emergency Plan1321 Words   |  6 Pages National Response Plan Howard L. Hayes Saint Leo University Abstract Why is it necessary for our country to have an effective emergency plan in place? Why does it matter how the country responds to emergencies when every part of our country, including cities and states, face emergency situations on a daily basis all over? Some are bad to worse, and some horrific to deadly. Well, this paper explains the importance of the National Response Plan and why it is necessary for our countryRead MoreManagement Course: Mba−10 General Management215330 Words   |  862 Pagestwenty-first century’s economic, social, and political churning, how will these driving factors be influenced by the brutally competitive global economy in which organizations do not have any particular geographic identity or travel under any particular national passport? What will be the effect of the rapid gyrations in markets that emphasize the difficulties that accounting practices face in determining true performance costs and that forecasting programs confront in establishi ng the economic determinants

Should Psychology Be A Psychological Practitioner Essay

Choosing psychology as a major has been very interesting so far and to this point of my education I do not feel I have any misgivings in becoming a psychological practitioner. One of the important experiences that make me confident about psychological practitioner is that I am still not bored with the major and my classes have been very interesting to me so far. Psychologists study mental processes and human behavior by observing, interpreting, and recording how people and other animals relate to one another and the environment. To do this, psychologists often look for patterns that will help them understand and predict behavior using scientific methods, principles, or procedures to test their ideas. Psychologists formulate theories, or hypotheses, which are possible explanations for what they observe and I enjoy gathering information because I have seen myself creating hypothesis since I was a child about the things I didn’t understand at the time. I find it more important to be able to have certain or at least statistical understanding of how mind/brain works just to understand how people operate, as so many people have no idea how their own mind works, even at relatively obvious levels and that is why psychology is very exciting to me. I am very interested in studying human behavior and cognitive processes; basically anything about psychology interests me because I am interested in human body and brain development. I had and I still have a real interest in people, whyShow MoreRelatedThe Profession Of Counselling Psychology1582 Words   |  7 PagesIntroduction The profession of counselling psychology has developed hugely during the past decade, this paper aims to provide a concise and general exploration of the nature of counselling psychology, it’s development history, where it stands among other traditional approaches, and how disciplines of psychology is linked with a range of models of psychotherapy. 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From studying environmental stimuli to possible inherited traits, every aspect of the physchogy behind decisions has fascinated me. Psychology is the scientific study of the human mind and its functionsRead MoreMethodological Issues And Challenges To Improve The Study Of Effective Treatments For Psychological Disorders?879 Words   |  4 PagesThe methodological issues and challenges that are unique to a psychological research of effective treatments for psychological disorders are to reduce the burden of mental illness and behavioral disorders by improving the treatments. The importance of completing these goals is by developing and improving the use of treatments. According to our text, â€Å"single-subject designs allows true experimental control of the independent variables because its cause and effect conclusions can be fairly accurateRead MoreEssay on Pci Assignment1686 Words   |  7 PagesExploring the scientist-practitioner (SP) ideal Student name: Sara Van Hooydonk Student i.d: 800452214 Due date: 25.5.2012 word count: 1,503 Exploring the scientist-practitioner ideal The scientist practitioner model has been particularly helpful towards the professional training of psychologists since its formulation in 1949 (HayesRead MoreThe Strengths and Weaknesses of the Scientist Practioner Approach1241 Words   |  5 PagesThe scientist-practitioner model was a term coined within the realm of American psychology. A conference held in Boulder, Colorado in 1949 concluded that clinical psychologists should be incorporating both a scientific and practical approach within their framework and training model. 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Abortion Is The Killing Of A Pregnancy After Conception

Many women may get pregnant at a time of their life where they may not be able to take care of a child. An option for these women is to give their child up for adoption or to have an abortion. Everyone has a different opinion on abortions whether or not it’s the right or wrong thing to do.† Every single day silent deaths are happening amongst Americans. Every single year, this silent horror kills about as many Americans as have been killed on all the battlefields in all of the wars in U.S. history combined (Snyder, 2012)†. Abortion has been around for many years but has also been such a touchy subject. An abortion is the killing of a pregnancy after conception. This action allows for women to end their pregnancies. Many people feel that abortion may be ok under certain circumstances while others feel that it shouldn’t be allowed at all. People who feel that abortion should be ok is if a women can’t support the baby, relationship problems with the othe r half, and because they feel that they have made a mistake. In my opinion I am against abortion. It is wrong to take an innocent life away. Over the years, laws and attitudes concerning abortion have changed and it has become a very well talked about topic. Abortion had been an illegal act for many years. It had become illegal in 1973 in a landmark decision, the U.S. Supreme Court decided that the right to an abortion was part of a woman s right to privacy. This had been called the Roe vs Wade act. The U.S. Supreme Court,Show MoreRelatedAbortion Is The Moral Killing Of A Human Being1712 Words   |  7 Pagesdifferent aspects towards abortion. Some may argue that abortion should be outlawed and treated like the murder of a human being while others believe abortion should remain a legal choice to all women. 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Third Reich Essay Research Paper The Third free essay sample

Third Reich Essay, Research Paper The Third Reich The Nazi province ( Third Reich ) was a barbarous absolutism established with Hitler s assignment as Chancellor in 1933. By 1936, Hitler had destroyed the authorities of the Weimar Republic established in 1919 at the terminal of the First World War ) , suppressed all political parties except the Nazi party, and consolidated the authorities of Germany under his control as Fuhrer ( leader ) . Mass organisations such as the Nazi labour forepart and the Hitler young person were established.The Nazis instituted propaganda runs and a government of panic against political oppositions and Jews ( who were made whipping boies for Germanys jobs ) . Germany was a constabulary province by 1936. In 1938 the Nazis used the blackwash of a German diplomat by a Judaic young person as an alibi for extended pogroms. Tonss were murdered and much Jewish belongings was destroyed or damaged by Nazi goons. Persecution of the Jews increased in strength, conglomerating in the horrors of the war-time concentrat ion cantonments and the mass slaying of 1000000s. We will write a custom essay sample on Third Reich Essay Research Paper The Third or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page Final control over the armed forces and the foreign office was achieved by Hitler in 1937-1938. He moved against the Blomberg ( the Minister of War ) and Fritsch ( the commander-in-chief of the ground forces ) , taking advantage of the dirts in which they were involved ( in the instance of Fritsch the accusals were false ) . Hitler made himself Minister of War and established the high bid of the Armed Forces under his personal representative, General Keitel. At the same clip Joachim von Ribbentrop was made Minister of Foreign Affairs giving the Nazis vie control over the German foreign office. However, the Nazi government enjoyed success in portion, at least, because it was able to cut down unemployment from 6,000,000 in 1932 to 164,000 by 1938 through alleged four-year programs aimed at rearming Germany and doing its economic system self-sufficing and free of dependants on any foreign power. The bettering economic status of many, together with Hitler s successes in foreign personal businesss, gave him a significant clasp over the German people. By the beginning of World War II Germany had been transformed into a disciplined war machine with all the dissent stifled and ready to follow the Fuhrer wherever he might take.