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
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
The market research department conducted consumer surveys at college campuses and reported its results. In these ordered pairs, the first coordinate
Circuit Technologies offers their employees a flat pension plan in which a predetermined dollar amount (multiplier) is multiplied by the number of
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
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
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
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
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
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
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
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,
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
What are the dimensions of each of the following matrices?a. b.c.[4 10 17 15 11]d.e.
Create a year-long budget to chart these expenses: Savings: $600 bimonthly (starting in January); Retirement account: $2,000 quarterly; Checking
GivenWhich of the following matrix operations are defined?a. A + Bb. A + Hc. 2H - 3Ad. G + He. BCf. AEg. A2h. D2
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
Jess and Nate are married teachers. They keep individual budget charts of their graduate school education–related expenses for tax purposes. The
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
Determine the values of a, b, and c in the following matrix equation.
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
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
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
Marcy is a textbook sales representative. Traveling to visit schools in her region takes her across toll bridges frequently each month, as indicated
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
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
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 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
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
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
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
Greenfield Industries produces rotors for manufacturers in Hartford, Connecticut, and Des Moines, Iowa. Hartford needs at least 21 rotors, and Des
Examine the revenue (black) and expense (blue) functions. Estimate the price at the maximum profit. Explain your reasoning.
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
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
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
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
Showstoppers manufactures adhesive vinyl for sign companies. The adhesive loses its adhesion qualities if not used for a few years. The life of their
A political polling company has been assigned to survey local voters a week before the upcoming election. The company will need to hire interviewers
What are the breakeven prices?
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
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
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
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,
Name two prices where the revenue is greater than the expenses.
Greenyard’s manufactures and sells yard furniture made out of recycled materials. The company is considering making a lawn chair from recycled
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
Name two prices where the revenue is less than the expenses.
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
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
Determine the breakeven points. Round to the nearest hundredth.A company produces a security device known as Toejack. Toejack is a computer chip that
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
Graph the expense and revenue functions.a. Determine an appropriate maximum horizontal-axis value.b. Determine an appropriate maximum vertical-axis
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,
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
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
Determine the breakeven points. Round to the nearest hundredth.A company is interested in producing and selling a new device called an eyePOD
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
Write the business summary analysis by filling in the blanks.In summary, to start this business,__ a.__ eyePODS should be manufactured. Each
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
The following question is from an actual Democratic Party questionnaire sent out in 2016. How should the Democratic National Committee react when
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
Interpret the quote according to what you have learned about operating a business in this section.Entrepreneurs and their small enterprises are
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
Interpret the quote in terms of what you have learned about the importance of sampling to marketing.Sometimes, a great shopper insight is more
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
The number of days each licensed driver in Marion County uses a commuter rail line annually is normally distributed with mean 66 and standard
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
A fitness company needs to test some new hand-strengthening equipment, and compare the effectiveness for left and right hands. They need to select
Determine whether each of the following points falls within the profit feasible region defined by x ≥ 0, y ≥ 0, 7x + 3y ≤ 15.
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
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
A pharmaceutical company is testing a new drug to see its effectiveness on lowering cholesterol. They randomly select 2,000 people and split them
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.
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.
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 +
Use the quadratic formula to find the roots of each equation.a. y = 2x2 + 3x – 20 b. y =10x2 + 13x – 3c. R = – 250p2 +
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
A pharmaceutical company is deciding whether or not to invent a new medication. They need to do some research into physical benefits of certain
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),
The social studies department at Fox Ridge High School is looking to determine the current events knowledge of their juniors. Mrs. Gonzalez has a
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
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 +
The horizontal axis represents price, and the vertical axis represents quantity. Does the demand function have a positive or negative slope?
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
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
An educational organization is planning to analyze the study habits of college freshmen. A professor at Harvard University volunteers to have his
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
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
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
Find the linear regression equation. Remember the quantity demanded, q, is the dependent variable. Round the slope and y-intercept to the nearest
Write the profit function for the given expense and revenue functions.E = –6,500p + 300,000R = –720p2 + 19,000p
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