- Luz has an option of purchasing two different types of washing machines. The highly efficient SmartCycle costs $900 and is expected to use $30 per year in electricity. The Clean Master costs $600 and
- Use the information from Exercise 5 to determine the percent of net change from April 21 to April 22 for each of the corporations listed in that question. Round answers to the nearest tenth of a
- The market research department conducted consumer surveys at college campuses and reported its results. In these ordered pairs, the first coordinate represents price, p, and the second coordinate
- Circuit Technologies offers their employees a flat pension plan in which a predetermined dollar amount (multiplier) is multiplied by the number of years of service to determine the monthly pension
- Esteban’s employer offers a pension plan that calculates the annual pension as the product of the final average salary, the number of years of service, and a 2% multiplier. His employer uses a
- Read the above quote. Interpret the quote in terms of what you have learned about budgets.
- Examine these three matrices:a. What are the dimensions of Y?b. List the elements of Z with their location symbols.Determine each matrix in parts c–i.c. X 1Zd. Z 1Xe. X 1Y 1Zf. Z 2Yg. 4Zh. 0.5Xi.
- Interpret the quote in the context of what you know about the major issues in energy consumption today.
- President Carter’s quote could have been revised in 2016 since, at that point in time, 46% of the world had Internet access. Interpret the quote in the context of what you know about the standard
- Kings Park Water Works uses water meters that measure water usage in ccf. They charge $0.18 per ccf of water. If Jack’s previous meter reading was 34,765 ccf and his present water reading is 36,900
- Emily’s last water bill listed a previous reading of 7,123 ccf and a present reading of 7,171 ccf. Her water company charges $0.73 per ccf of water. What should Emily have been charged on her water
- Examine this portion of Colleen’s budget chart for July, August, and September:Let matrix C be a 6 x 3 matrix whose elements are the entries in the budget chart above.a. What is the value of the
- Aaron’s cell phone plan includes 3GB of data. On the 21st day of his billing period, Aaron received a message from his service provider that he had already used 75% of his data allowance for the
- Marissa’s Beauty Salon has six hair dryers that each require 500 watts when switched on. How much would it cost to run all six dryers for 7 hours, at a cost of $0.15 per kWh? Round to the nearest
- Parisa’s cell phone plan has a monthly fee of $95, which includes unlimited free text messages and phone calls and 5GB of data. Each extra gigabyte of data, or part thereof, costs $14.a. Find the
- What are the dimensions of each of the following matrices?a. [7]b.c.[4 10 17 15 11]d.e. -3 3 ننا
- Create a year-long budget to chart these expenses: Savings: $600 bimonthly (starting in January); Retirement account: $2,000 quarterly; Checking account: $1,000 semi-monthly; Credit card: $500
- GivenWhich of the following matrix operations are defined?a. A + Bb. A + Hc. 2H - 3Ad. G + He. BCf. AEg. A2h. D2 A = E = 1 23 456 ] 78 99 B 8765 99 87 | C = 65 43 BBL-B ] F = [43] G = 01
- Raymond pays $1,000 per month in rent, and he is expecting a rent increase. His landlord agreed to a gradual increase according to the following plan:January, 0% increaseFebruary, 5% increaseMarch,
- Jess and Nate are married teachers. They keep individual budget charts of their graduate school education–related expenses for tax purposes. The charts below are for the fall semester.a. Let matrix
- Riley purchased a 30-day international cell phone plan for use during winter break. There is a one-time fee of $35 and it includes 150 MB of data usage. Each extra megabyte, or part thereof, of data
- Determine the values of a, b, and c in the following matrix equation. 34 a ь 5 18 2 C 2 4 6 || 34 30 52
- Use Nate’s matrix N from exercise 7b above. Nate knows that in the spring semester his tuition will increase by 5%, his supplies will decrease by 5%, his transportation will remain the same, his
- Last winter, Anne was charged $838.35 for 9,315 kWh of electricity. What did her company charge per kilowatt-hour of electricity?
- Vicki’s phone company charges x dollars for unlimited texting per month, or t dollars per text message sent or received. If she has m text messages for the month, express the difference in cost
- The Seinfeld family pays m dollars per month for electricity under balanced billing. At the end of the year, they had used less electricity than the balanced billing covered, and the utility company
- Marcy is a textbook sales representative. Traveling to visit schools in her region takes her across toll bridges frequently each month, as indicated in the following matrix.The round trip tolls on
- Jillian’s cell phone plan costs $55 per month, and includes 4GB of data usage. Each extra gigabyte, or part thereof, costs $15. Express the cost c(x) of using xGB in a billing period as a piecewise
- The Smithtown Water Company uses water meters that measure water usage in gallons. They charge $0.12 per gallon of water. If Jack’s previous meter reading was 45,621 gallons and his present water
- Phone-Phriends charges $44 for a cell phone plan with unlimited text and talk and 3GB of data usage per month. Each gigabyte, or part thereof, over the 3GB costs $16. Find the difference in the
- The piecewise function below gives the cost f(x) of x text messages per month. Which would be the least expensive plan for a person who had d text messages: a plan in which c = 31 or a plan in which
- Abram’s monthly liabilities equal $2,400 and his monthly assets are $6,800. What is his debt-to-income ratio, expressed as a percent?
- Desta wants to purchase “The Ultimate Plan” from her cell phone provider. If she enrolls in this plan, she can purchase the latest cell phone from the provider for $250. The plan consists of
- What is the debt-to-income ratio for a person who has monthly liabilities equal to x dollars and an annual income equal to y dollars?
- In September 1997, the average cost for 1 gallon of home heating oil in New York City was $1.192 per gallon. By September 2008, it had risen to $4.173 per gallon. (By March 2016, it was down to
- An energy-efficient refrigerator costs $1,600. It has an expected annual electricity cost of $100.a. Set up an expense function A(x) to represent the cost of owning and operating this refrigerator
- Greenfield Industries produces rotors for manufacturers in Hartford, Connecticut, and Des Moines, Iowa. Hartford needs at least 21 rotors, and Des Moines needs at least 40 rotors. Greenfield is able
- Examine the revenue (black) and expense (blue) functions. Estimate the price at the maximum profit. Explain your reasoning. 800,000 0 dollars 50 price
- Fixed costs are $24,500 and variable costs are $6.12 per Toejack. Express expenses, E, as a function of q, the quantity produced.A company produces a security device known as Toejack. Toejack is a
- The Kivet Ski Corporation is testing a new safer boot binding for their skis. They need some randomly selected skiers to try the skis to see if the binding is better. Explain how they can design a
- The Bloom Biscuit Company is planning a marketing strategy for the upcoming year. They plan on doing a survey to see how many residents in their state bake. Marketing assistants randomly call homes
- Express the revenue, R, in terms of p and q.A company produces a security device known as Toejack. Toejack is a computer chip that parents insert between the toes of a child, so parents can track the
- Showstoppers manufactures adhesive vinyl for sign companies. The adhesive loses its adhesion qualities if not used for a few years. The life of their adhesive vinyl is normally distributed with mean
- A political polling company has been assigned to survey local voters a week before the upcoming election. The company will need to hire interviewers and statisticians for the job. Statisticians make
- What are the breakeven prices? 100,000 dollars 200 price
- Grand Central High School has an enrollment of 2,170 students. They are taking a sample of 200 students to survey them about a proposed school policy. Rather than take a simple random sample, they
- Express the revenue, R, in terms of p.A company produces a security device known as Toejack. Toejack is a computer chip that parents insert between the toes of a child, so parents can track the
- Garden Giant makes rubber garden hoses. The life of their Long Life garden hose is 8.1 years, with a standard deviation of 1.1 years. Their research and development department has come up with a new
- The following is a list of the number of mobile electronic devices owned by the four members of Valley High School’s Board of Education.7, 5, 2, 3If all samples of size 2 are taken with
- The following is a list of the number of mobile electronic devices owned by the four members of Valley High School’s Board of Education.7, 5, 2, 3If all samples of size 2 are taken with
- Name two prices where the revenue is greater than the expenses. 100,000 dollars 200 price
- Greenyard’s manufactures and sells yard furniture made out of recycled materials. The company is considering making a lawn chair from recycled aluminum and fabric. The expense and revenue functions
- The accounting department anticipates the fixed costs to be $160,000 and the variable cost to be $150 per eyePOD. Express expenses, E, as a function of q, the quantity produced.A company is
- Name two prices where the revenue is less than the expenses. 100,000 dollars 200 price
- Express the revenue, R, in terms of p and q.A company is interested in producing and selling a new device called an eyePOD (eyewear personal optical device). The eyePOD is an MP3 and video player
- Express the revenue, R, in terms of p.A company is interested in producing and selling a new device called an eyePOD (eyewear personal optical device). The eyePOD is an MP3 and video player built
- Determine the breakeven points. Round to the nearest hundredth.A company produces a security device known as Toejack. Toejack is a computer chip that parents insert between the toes of a child, so
- A profit function is determined to be P = –200p2 + 16,000p – 1,191,200. Find the roots of the equation. Are they real or complex? If complex, what does this imply about the profit function?
- Graph the expense and revenue functions.a. Determine an appropriate maximum horizontal-axis value.b. Determine an appropriate maximum vertical-axis value.c. Sketch the graphs of the expense and
- A profit function is determined to be P = –180p2 + 54000p – 8,950,500. Find the roots of the equation. Are they real or complex? If complex, what does this imply about the profit function?
- Graph the profit function. Determine the coordinates of the maximum point of the profit graph. At what price, p, is profit maximized? Round to the nearest cent. This will be the price at which
- A company produces a security device known as Toejack. Toejack is a computer chip that parents insert between the toes of a child, so parents can track the child’s location at any time using an
- Determine the breakeven points. Round to the nearest hundredth.A company is interested in producing and selling a new device called an eyePOD (eyewear personal optical device). The eyePOD is an MP3
- Graph the profit function. Determine the coordinates of the maximum point of the profit graph. At what price p is profit maximized? Round to the nearest cent. This will be the price at which one
- Write the business summary analysis by filling in the blanks.In summary, to start this business,__ a.__ eyePODS should be manufactured. Each should be sold at $__ b.__ . The breakeven
- Six college roommates have decided to make bracelets and necklaces as a way of paying down their student loans. They have made an arrangement with a local wholesale jeweler who will deliver 9,000
- The following question is from an actual Democratic Party questionnaire sent out in 2016. How should the Democratic National Committee react when Republicans and their special interest backers target
- A random group of 600 single parents, from ten thousand in a certain state, is to be chosen using a random number table.a. How many digits will be assigned to each person?b. Would it be possible for
- Interpret the quote according to what you have learned about operating a business in this section.Entrepreneurs and their small enterprises are responsible for almost all the economic growth in the
- Interpret the above quote in terms of what you have learned about new inventions in this section.Build a better mousetrap and the world will beat a path to your door.
- Interpret the quote in terms of what you have learned about the importance of sampling to marketing.Sometimes, a great shopper insight is more valuable than a great product.
- Interpret the quote in the context of what you learned about supply and demand in this lesson.Teach a parrot the terms “supply and demand” and you’ve got an economist.
- The number of days each licensed driver in Marion County uses a commuter rail line annually is normally distributed with mean 66 and standard deviation 21. Explain why these licensed drivers would
- A manufacturer has determined that the combined fixed and variable expenses for the production and sale of 500,000 items are $10,000,000. What is the price at the breakeven point for this item?
- A fitness company needs to test some new hand-strengthening equipment, and compare the effectiveness for left and right hands. They need to select 100 volunteers from a gym membership list of 9,876
- Determine whether each of the following points falls within the profit feasible region defined by x ≥ 0, y ≥ 0, 7x + 3y ≤ 15. a. (0,5) b. (2, 3) c. (0,0) d. 1. (1/5,0) e. (1.75, 2.75)
- A local judicial system is seeking information on people to serve jury duty. They send a survey to all licensed drivers in their locale. Explain why this surveying technique is poor due to under
- An automobile GPS system is sold to stores at a wholesale price of $97. A popular store sells them for $179.99. What is the store’s markup?
- A corporation produces mini-widgets. The variable expenses are $1.24 per mini-widget, and the fixed expenses are $142,900.a. What is the total cost to produce one mini-widget?b. What is the total
- A pharmaceutical company is testing a new drug to see its effectiveness on lowering cholesterol. They randomly select 2,000 people and split them into two groups. The control group takes a
- The vertices of a feasible region are listed below. What is the maximum profit for the objective function P = 20x + 18y?a. (0, 10), (0, 0), (20, 0)b. (1, 8), (2, 1), (8, 4), (10, 6)
- These six automobile designers need to test the ride comfort of a new prototype car:Amit (A), Bob (B), Chase (C), Dom (D), Eddie (E), Ferris (F)a. Only four at a time can ride in the car. How many
- Let the expense function for a particular item be defined as y = –1,950x + 53,000. Let the revenue function be defined as y = –450x2 + 10,000x , where x represents price in each equation.
- Use the quadratic formula to find the roots of each equation.a. y = 2x2 + 3x – 20 b. y =10x2 + 13x – 3c. R = – 250p2 + 20,000p d. R = –520p2 + 67,600p
- As the price increases, what is expected to happen to the quantity demanded?A company produces a security device known as Toejack. Toejack is a computer chip that parents insert between the toes of a
- A pharmaceutical company is deciding whether or not to invent a new medication. They need to do some research into physical benefits of certain sports. They want to test if people who only play
- The vertices of a feasible region are listed below. What is the minimum cost for the objective function C = 45x + 53y?a. (3, 7), (15, 20), (22, 20), (23, 5)b. (0, 9), (12, 8), (20, 9), (9, 0)
- The social studies department at Fox Ridge High School is looking to determine the current events knowledge of their juniors. Mrs. Gonzalez has a class of juniors in her social studies class and
- The Royal Ranch Pool Supply Corporation manufactures chlorine test kits. The kits have an expense equation of E = 5.15q + 23,500. What is the average cost per kit of producing 3,000 test kits? Round
- Use the method of completing the square to find the roots of each equation.a. y = x2 – 8x + 11b. y = x2 + 12x + 26c. R = –100p2 + 40,000p d. R = –340p2 + 37,400p
- The horizontal axis represents price, and the vertical axis represents quantity. Does the demand function have a positive or negative slope? Explain.A company produces a security device known as
- An inventor for the Rust-Fight Paint Company wants to test if his paint is more resistant to rust than the current type of paint they manufacture. He will test 10 cans of the old paint and 10 cans of
- In each of the following, you are given an objective function and the vertices of a feasible region. Determine both the maximum and minimum values of the objective function as well as the point at
- An educational organization is planning to analyze the study habits of college freshmen. A professor at Harvard University volunteers to have his class take the survey.a. What type of sample is
- The company decides to conduct a market research survey to determine the best price for the device. The variable p represents price and q represents quantity demanded. The points are listed as (p,
- Write the profit function for the given expense and revenue functions.E = –20,000p + 90,000R = –2,170p2 + 87,000p
- For Your Eyes Only manufactures eyeglasses. They have developed a new type of hinge that they plan to test on 300 randomly selected customers.a. If they start on line 30 of the random number table on
- A group of college students are starting a small business called Custom Tech. They make customized cell phone and tablet cases. Their profits are $40 for the cell phone case and $60 for the tablet
- Find the linear regression equation. Remember the quantity demanded, q, is the dependent variable. Round the slope and y-intercept to the nearest hundredth.A company produces a security device known
- Write the profit function for the given expense and revenue functions.E = –6,500p + 300,000R = –720p2 + 19,000p