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linear algebra

Questions and Answers of Linear Algebra

Courtney wants to sell her grandfather's antique 1932 Ford. She begins to set her price by looking at ads and finds these prices: $24,600, $19,000, $33,000, $15,000, and 20,000. What is the mean
Five Smithtown High School students are saving up to buy their first cars. They all have after-school jobs, and their weekly salaries are listed in the table.Emily ..........................$110Sam
Rosanne is selling her Corvette. She wants to include a photo of her car in the ad. Three publications give her prices for her ad with the photograph: Lake Success Shopsaver
The Cold Spring High School student government polled randomly selected seniors and asked them how much money they spent on gas in the last week. The following stem-and-leaf plot shows the data they
A group of randomly-selected recent college graduates were asked how much the monthly payment is on their student loan. The responses are shown in the stem-and-leaf plot.a. What is the total
Express the mean of the data set shown in the frequency table algebraically. Price Frequency x ............................ y w ............................ 5 16
Brian looked up prices of thirteen used Chevrolet HHR "retro" trucks in the classified ads and found these prices: $8,500, $8,500, $8,500, $9,900, $10,800, $10,800, $11,000, $12,500, $12,500,
Enter the data from Example 1 in your calculator. a. Create a box-and-whisker plot using the data from Example 1. b. How would you determine if it would be appropriate to create a modified boxplot
Megan has a friend at work who is selling a used Honda. The car has 60,000 miles on it. Megan comparison shops and finds these prices for the same car. a. Find the mean price of the 5 prices
Megan, from Exercise 8, decides to get more information about the cars she researched. The table has prices and mileages for the same used car. In addition to the statistics she has learned in this
Jared's car slides into a stop sign during an ice storm. There is x dollars damage to his car, where x > 1,000, and the stop sign will cost y dollars to replace. Jared has $25,000 worth of PD
Mollie has 100/300/50 liability insurance and $50,000 PIP insurance. She drives through a stop sign and hits a telephone pole and bounces into a minivan with 8 people inside. Some are seriously hurt
The Schuster family just bought a third car. The annual premium would have been x dollars to insure the car, but they are entitled to a 10% discount since they have other cars with the company. a.
Marc currently pays x dollars per year for auto insurance. Next year, his rates are going to increase 15%. If he completes a defensive driver course, the insurance company will lower his rate by d
The stem-and-leaf plot gives the semiannual premiums for the girls and boys in Van Buren High School who currently drive. It is called a back-to-back stem-and-leaf plot, and combines two
The following stem-and-leaf plot gives the number of juniors who took a driver education course at Guy Patterson High School over the last two decades. Construct a box-and-whisker plot based on the
Rachel has $25,000 worth of property damage insurance. She causes $32,000 worth of damage to a sports car in an accident. a. How much of the damages will the insurance company have to pay? b. How
Ronald Kivetsky bought a new car and received these price quotes from his insurance company. a. What is the annual premium? b. What is the semiannual premium? c. How much less would Ronald's
Ruth Fanelli has decided to drop her collision insurance because her car is getting old. Her total annual premium is $916, of which $170.60 covers collision insurance. a. What will her annual premium
Felix Madison has $10,000 worth of property damage insurance and a $1,000 deductible collision insurance policy. He had a tire blow- out while driving and crashed into a $1,400 fire hydrant. The
How might those words apply to what you have learned?
A car is originally worth $34,450. It takes 13 years for this car to totally depreciate.a. Write the straight line depreciation equation for this situation. b. How long will it take for the car to be
The original price of a car is entered into spreadsheet cell A1 and the length of time it takes to totally depreciate is entered into cell B1. a. Write the spreadsheet formula that calculates the
The original price of a car is entered into spreadsheet cell A1 and the annual depreciation amount in cell B1. a. Write the spreadsheet formula to determine the number of years it will take for the
Winnie purchased a new car for $54,000. She has determined that it straight line depreciates to zero over 10 years. When she purchased the car, she made an $8,000 down payment and financed the rest
Delia purchased a new car for $25,350. This make and model straight line depreciates to zero after 13 years. a. Identify the coordinates of the x- and y-intercepts for the depreciation equation. b.
Vince purchased a used car for $11,200. This make and model used car straight line depreciates to zero after 7 years. a. Identify the coordinates of the x- and y-intercepts for the depreciation
Examine the straight line depreciation graph for a car.a. At what price was the car purchased? b. After how many years does the car totally depreciate? c. Write the equation of the straight line
The straight line depreciation equation for a luxury car is y = −3,400x + 85,000. a. What is the original price of the car? b. How much value does the car lose per year? c. How many years will it
The straight line depreciation equation for a motorcycle is y = −2,150x + 17,200. a. What is the original price of the motorcycle? b. How much value does the motorcycle lose per year? c. How many
The straight line depreciation equation for a car is y = −2,750x + 22,000. a. What is the car worth after 5 years? b. What is the car worth after 8 years?
The straight line depreciation equation for a car is y = −2,680x + 26,800. a. How much is the car worth after 48 months? b. How much is the car worth after 75 months?c. Suppose that M represents
The graph of a straight line depreciation equation is shown.a. Use the graph to approximate the value of the car after 4 years.b. Use the graph to approximate the value of the car after 5 years.c.
The historical prices of a car are recorded for 17 years as shown.a. Construct a scatterplot for the data.b. Determine the exponential depreciation formula that models this data. Round to the nearest
Raphael purchased a 3-year-old car for $16,000. He was told that this make and model depreciates exponentially at a rate of 5.45% per year. What was the original price of the car when it was new?
The car that Diana bought is 8 years old. She paid $6,700. This make and model depreciates exponentially at a rate of 14.15% per year. What was the original price of the car when it was new?
What is the exponential depreciation rate, expressed as a percent to the nearest tenth of a percent, for a car that originally sells for $30,000 when new but exponentially depreciates after 5 years
What is the exponential depreciation rate, expressed as a percent to the nearest tenth of a percent, for a car that originally sells for $52,000 when new but exponentially depreciates to $45,000
A car originally sold for $25,900. It depreciates exponentially at a rate of 8.2% per year. Nina put $10,000 down and pays $550 per month to pay off the balance. After how many years will her car
Jazmine's car originally sold for $46,600. It depreciates exponentially at a rate of 10.3% per year. Jazmine put $12,000 down and pays $800 per month to pay off the balance. After how many years will
Seamus bought a car that originally sold for $40,000. It exponentially depreciates at a rate of 7.75% per year. Write the exponential depreciation equation for this car.
The July 2008 issue of Hemmings Motor News included a feature story on the 1957 Cadillac Eldorado Brougham. When sold as a new car in 1957, the price was $13,074. It depreciated in value over the
Chris purchased a used car for $19,700. The car depreciates exponentially by 10% per year. How much will the car be worth after 6 years? Round your answer to the nearest penny.
Laura's new car cost her $21,000. She was told that this make and 5 model depreciates exponentially at a rate of 8 5/8% per year. How 8 much will her car be worth after 100 months?
Lisa purchased a used car for D dollars. The car depreciates exponentially at a rate of E% per year. Write an expression for the value of the car in 5 years, in A years, and in M months.
A graphing calculator has determined this exponential regression equation based upon car value data: y = a*bx, a = 20,952.11, and b = 0.785. What is the rate of depreciation for this car? How much is
A graphing calculator has determined this exponential regression equation based upon car value data: y = a*bx, a = 18,547.23 and b = 0.8625. What is the rate of depreciation 4 for this car? How much
The historical prices of a car are recorded for 11 years as shown.a. Construct a scatterplot for the data.b. Determine the exponential depreciation equation that models this data. Round to the
How might the quote apply to what you have learned? Discuss in detail.
Complete the chart for entries a-l.
Alexandra uses her car for business. She knows that her tank was full when she started her business trip, but she forgot to write down the odometer reading at the beginning of the trip. When the trip
A car averages 56 mi/h on a trip. a. Write an equation that shows the relationship between distance, rate, and time for this situation. b. Let time be the independent variable and distance be the
A spreadsheet has been created so that the user enters information in the stated cells.a. Write a formula to calculate the speed of the car for the trip in cell C1. b. Write a formula to calculate
Complete the chart.1 USD ‰ˆ 1.07 Canadian dollars (CAD)1 USD ‰ˆ 0.69 Euros (EUR)1 USD ‰ˆ 1.16 Australian dollars (AUD) 1 USD ‰ˆ 89.85 Japanese yen (JPY)1 USD ‰ˆ 7.34 South African rand
Complete the chart1 USD ‰ˆ 1.07 Canadian dollars (CAD)1 USD ‰ˆ 0.69 Euros (EUR)1 USD ‰ˆ 1.16 Australian dollars (AUD) 1 USD ‰ˆ 89.85 Japanese yen (JPY)1 USD ‰ˆ 7.34 South African rand
While Willie traveled in India, he paid an average of 87.42 Indian rupees for a liter of gas.a. What expression represents the price of this gas in U.S. dollars if the exchange rate was x? b. What
Explain how the quote can be interpreted from what you have experienced.
Complete the chart for entries a-j.
David is driving on the highway at the legal speed limit of 70 mi/h. He notices that there is an accident up ahead approximately 200 feet away. His reaction time is approximately 3 / 4 of a second.
Martine is driving on an interstate at 70 km/h. She sees a traffic jam about 50 meters ahead and needs to bring her car to a complete stop before she reaches that point. Her reaction time is
Model the total stopping distance by the equation y = x2 / 20 + x, where 20 x represents the speed in miles per hour and y represents the total stopping distance in feet. a. Graph this equation for
Model the total stopping distance by the equation y = x2/170 + x/5, where x represents the speed in km/h and y represents the total stopping distance in meters. a. Graph this equation for the values
A spreadsheet user inputs a speed in miles per hour into cell A1. a. Write a formula that would enter the approximate equivalent of that speed in km/h in cell A2. b. Write a spreadsheet formula that
There are 5,280 feet in a mile. Round answers to the nearest unit. a. How many miles does a car traveling at 65mi/h go in one hour? b. How many feet does a car traveling at 65 mi/h go in one hour?
There are 5,280 feet in a mile. Round answers to the nearest unit. a. How many miles does a car traveling at 42mi/h go in one hour? b. How many feet does a car traveling at 42 mi/h go in one hour? c.
Determine the distance covered by a car traveling 80 km/h for each unit and time given. Round answers to the nearest unit. a. Kilometers in one hourc. Meters in one minute b. Meters in one hourd.
Determine the distance covered by a car traveling 55 km/h for each unit and time given. Round answers to the nearest unit. a. Kilometers in one hour c. Meters in one minute b. Meters in one
Determine the distance covered by a car traveling x km/h for each unit and time given. a. Kilometers in one hour c. Meters in one minute b. Meters in one hour d. Meters in one second
Determine the distance covered by a car traveling 68 mi/h for each unit and time given. Round answers to the nearest unit. a. Miles in one hourc. Feet in one minute b. Feet in one hourd. Feet in one
Edward is driving 52 mi/h on a one-lane road. He must make a quick stop because there is a stalled car ahead. a. What is his approximate reaction distance? b. What is his approximate braking
Explain how the quote can be interpreted from what you have learned.
Marielle was in an accident. She was traveling down a road at 36 mi/h when she slammed on her brakes. Her car left two skid marks that averaged 50 ft in length with a difference of 4 ft between them.
The following measurements from yaw marks left at the scene of an accident were taken by the authorities. Using a 31-ft length chord, the middle ordinate measured approximately 3 ft. The drag factor
Juanita is an accident reconstruction expert. She measured a 70-ft chord from the outer rim of the yaw mark on the road surface. The middle ordinate measured 9 ft in length. The drag factor of the
The formula used to determine the radius of the yaw mark arc is derived from a geometric relationship about two intersecting chords in a circle. In the figure, chords AB and CD intersect at point E
In the spreadsheet, the prompts for entering data are in column A. The user enters the data in column B.a. Write the spreadsheet formula that will calculate the radius in cell B4. b. Write the
Ghada works for an insurance company as an accident reconstruction expert. She measured a 52-ft chord from the outer rim of the yaw mark on the road surface. The middle ordinate measured x ft in
Rona was driving on an asphalt road that had a 35 mi/h speed limit posted. A deer jumped out from the side of the road causing Rona to slam on her brakes. Her tires left three skid marks of lengths
In the spreadsheet, the prompts for entering data are in column A. The user enters the data in column B. a. Write the spreadsheet formula that will calculate the skid distance in cell B9. b. Write
A car leaves four skid marks each 50 feet in length. The drag factor for the road is 0.9. Let x represent the braking efficiency. a. What is the range of values that can be substituted for x? b. Let
The college newspaper charges by the character for classified ads. Letters, numbers, spaces, and punctuation count as one character. They charge $34 for the first 100 characters, and $0.09 for each
The historical prices of a car with the same make, model, and features are recorded for a period of 10 years as shown in the table.a. Construct a scatterplot for the data. b. Determine the
Gina has 250/500/50 liability insurance and $50,000 PIP insurance. She changes lanes too quickly, hits the metal guard rail, and then hits a tour bus. Four people are seriously hurt and sue her.
Joshua just purchased a 4-year-old car for $12,000. He was told that this make and model depreciates exponentially at a rate of 5.8% per year. What was the original price to the nearest hundred
A graphing calculator has determined the following exponential regression equation: y = a*bx, a = 28,158.50, b = 0.815. a. What is the rate of depreciation for this car? b. How much is this car worth
Tricia is driving 64 miles per hour on an interstate highway. She must make a quick stop because there is an emergency vehicle ahead. a. What is her approximate reaction distance? b. What is her
Marlena is driving on an interstate at 65 km/h. She sees a traffic jam about 30 meters ahead and needs to bring her car to a complete stop before she reaches that point. Her reaction time is
The Classic Car Monthly charges $49 for a three-line classified ad. Each additional line costs $9.50. For an extra $30, a seller can include a photo. How much would a five-line ad with a photo cost?
The straight line depreciation equation for a car is y = −2,400x + 36,000. a. What is the original price of the car? b. How much value does the car lose per year? c. How many years will it take
A car is originally worth $43,500. It takes 12 years for this car to totally depreciate. a. Write the straight-line depreciation equation for this situation. b. How long will it take for the car to
Prices for used stainless steel side trim for a 1957 Chevrolet convertible are $350, $350, $390, $400, $500, $500, $500, $600, $650, $725, $800, $850, $900, and $1,700. The prices vary depending on
Kathy purchased a new car for $37,800. From her research she has determined that it straight-line depreciates over 14 years. She made a $7,000 down payment and pays $710 per month for her car loan.a.
Grahamsville High School recently polled its teachers to see how many miles they drive to work each day. At the left is a stem-and- leaf plot of the results. a. How many teachers were polled?b. Find
Stewart has $25,000 worth of property damage insurance and a $1,000 deductible collision insurance policy. He crashed into a fence when his brakes failed and did $7,000 worth of damage to the fence.
Interpret the quote in the context of what you learned about job seeking?
Kareem earns y dollars per month at his accounting job. Express his annual salary using the K abbreviation found in classified ads?
Mike is a veterinarian. He is placing a 9-line classified ad for an assistant. The following piecewise function gives the price of an x-line ad.a. Find the difference between the cost of a 2-line ad
Joanne is looking for a job as a teacher. She plans to send resumes to 123 schools in her county. Her local printer charges $23 per 100 copies, and sells them only in sets of 100. a. How many copies
Cathy is looking for a job as a bookkeeper. One classified ad lists a job in a stereo store that pays 34.6K. Another job, in a clothing store, has a weekly salary of $620. a. Which job is the
An online job seeking service allows job seekers to post their resumes for free. The service charges employers looking for applicants a fee to look through the resumes. The fee is based on how long

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