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Solve each equation for the given variable. c/E - 1/mc =0 ; E Hyperion Inc., currently sells its latest high-speed color printer, the Hyper 500, for $349. It plans to lower the price to $308 next year. Its cost of goods sold for the Hyper 500 is $191 per unit, and this year's sales (at the current price of $349) are expected to be 20,800 units. a. Suppose that if Hyperion drops the price to $308 immediately (rather than waiting one year) it can increase this year's sales by 30% to 27,040 units. What would be the incremental impact on this year's EBIT of such a price drop? b. Suppose that for each printer sold, Hyperion expects additional sales of $95 per year on ink cartridges for the three-year life of the printer, and Hyperion has a gross profit margin of 81% on ink cartridges. What is the incremental impact on EBIT for the next three years of such a price drop? 1.There is a good chance that a youth involved in the juvenile system has a co-occurring mental health and substance abuse disorder. (true or false)2.The changes in the justice system are best reflected by which of the following statementsa. movement toward penalties and sentencesb. pendulum between punishment and rehabilitationc. bifurcated process within the adult criminal justice systemd. implementation of risk assessment tools and intervention. Consider the system x'=8y+x+12 y'=xy+12t A. Find the eigenvalues of the matrix of coefficients A B. Find the eigenvectors corresponding to the eigenvalue(s) C. Express the general solution of the homogeneous system D. Find the particular solution of the non-homogeneous system E. Determine the general solution of the non-homogeneous system F. Determine what happens when t [infinity] Choose the step that is clearly out of order in the following schematic of a documentary credit transaction.Importer's bank opens a letter of creditThe exporter loads the goods to a ship and obtains a bill of ladingA bill of exchange is accepted by the importerThe exporter receives payment in exchange for the bill of exchange and the bill of lading to the Exporter's bank.Documents are sent to the importer's bankImporter's bank collects payment from the importer and hands over the bill of ladingThe importer collects the goods from the ship TRUE/FALSE/MAYBE and EXPLAIN:It is impossible for the total number of people employed and theunemployment rate both to fall at the same time. 3. Libraries have been specifically appointed by the UN as partners in the SDG drive, with specific examples from Ghana and other countries, explain how libraries can help achieve the SDGs. 4. The advent of the information age has made the information profession a very prominent one but with a challenge where end users of information are no longer willing to wait for information to be delivered but expect information to be delivered within minutes when a request is made or even in real time. In your opinion, what competencies will help an information professional overcome this challenge? 5. Information provision and access have been acknowledged by both AU and UN as a great tool that will help the world to develop. Unfortunately, Africa lags behind in the provision and access of information. Indicate five factors that hinder information provision in Africa and explain the impact of these on Africa's development and propose solutions Answer questions 1 through 8 based on retirement funding calculation using the 4-step annuity method.Layla, age 43, currently earns $95,000. Her wage replacement ratio is 82 percent.She expects that inflation will average 5 percent for her entire life expectancy. She expects to earn 8 percent on her investments and retire at age 67 (full retirement age), possibly living to age 90. Her Social Security retirement benefit in today's dollars is $15,500 per year, for retiring at full retirement age.Questions 1 through 4: Calculate Layla's capital needed at retirement at age 67 and the amount she must save at the end of each year, assuming she has no current savings accumulated for retirement.Questions 5 through 8: Calculate the present value of her benefits at ages 63, 67, and 70. Compare and contrast the use of government spending changes versus tax changes as a means of influencing the course of the economy. Is one or the other preferable in specific situations? Imagine for a moment that you have two roommates, who each have opposing viewpoints on nearly everything, including politics and economics. Taylor is adamant that the best way to manage the economy is through tax changes, while Morgan insists that its better to adjust the economy through government spending. What would a Neoclassical economist say? What would a Keynesian economist say? Which roommate do you agree with, and why? Find a news article to help support your opinion. Summarize the article and include the link to in your response. A system of income inequality has advantages and disadvantages. Which of the following is a characteristic of a country that has income inequality?Group of answer choicesin a country with higher income inequality the lower income households generally have fewer political advantages (less influence) than the higher income households.All of the listed choices are characteristicsa country with income inequality generally has a higher average standard of living than a country with pure income equality.a country with income inequality provides those who are more productive the ability to reap higher rewards and higher incomes. Thus more people tend to be productive and efficient than in a system of income equality. Why is it use or found in our every lives or certain in the industries?and identify and explain at least two uses Consider a European put option and a European call option on a \( \$ 40 \) nondividend-paying stock. Both options have 6 months remaining and both have a \( \$ 35 \) strike price. The risk-free intere Our objective is to estimate the incidence of cardiovascular events in patients with rheumatoid arthritis. We have decided to conduct a 10-year study. All the individuals who are diagnosed with rheumatoid arthritis are eligible for being included in this cohort study. However, one has to ensure that none of them have cardiovascular events at baseline. Thus, they should be thoroughly investigated for the presence of these events at baseline before including them in the study. For this, we have to define all the events we are interested in the study (such as angina or myocardial infarction). The criteria for identifying rheumatoid arthritis and cardiovascular outcomes should be decided before initiating the study. All those who do not have cardiovascular outcomes should be followed at regular intervals (predecided by the researcher and as required for clinical management). What study design is this?A. Case-control studyB. Prospective cohort studyC. Retrospective cohort studyD. Cross sectional study A parallel plate capacitor has plates 0.142 m2 in area and a separation of 14.2 mm. A battery charges the plates to a potential difference of 120 V and is then disconnected. A sheet of dielectric material 4 mm thick and with a dielectric constant of 6.1 is then placed symmetrically between the plates. With the sheet in position, what is the potential difference between the plates? Answer in Volts and two decimal A study was conducted to investigate the association between early pregnancy and breast cancer risk. Researchers recruited 1,100 women who were pregnant and 1,100 women who were not pregnant at age 25 in 2008. The rate of breast cancer was assessed in both groups of women 20 years later. This is an example of a(n): a) Cross-sectional study b) Case-control study c) Retrospective cohort study d) Prospective cohort study e) Ecological study f) Randomised-controlled trial write an article in your school magazine on the topic the falling standard of learning in my school You expect Commodore Company's stock to pay its next dividend of $6.36 exactly one year from now. After this first dividend, future dividends will grow at -3% for each of the subsequent 2 years and then 5% per year every year thereafter. What is Commodore's intrinsic value today? Use a discount rate of 12.2% and round your answer to the nearest penny.Athens, Inc has a credit rating of A and wants to issue 15-year bonds at par value. If the 15-year Treasury bond has a YTM of 4.97% and the credit spread for Single A debt over Treasuries is 5.33%, what coupon rate should Athens select? Enter your answer as a decimal and show four decimal places. For example, if your answer is 5.25%, enter .0525. Identify and discuss the three major sources of research problems howcan we prevent lawsuit in the dental office? what are the six areasof concern in regards to the legal practice of dentistry ? A 100-liter tank contains water at 200 kPa and a quality of 2%. Heat is added to the water resulting in an increase in its pressure and temperature. At a pressure of 3 MPa a safety valve opens and saturated vapor at 3 MPa flows out. The process continues, maintaining 3 MPa inside the tank until the quality in the tank is 80%, then stops. Determine the total mass of water that flowed out and the total heat transfer to the tank.