Financial Algebra Advanced Algebra With Financial Applications 2nd Edition Robert Gerver, Richard J. Sgroi - Solutions

McCormack Chrysler pays their sales staff by commission. They are paid a percent of the profit the dealership makes on the car. If the profit is $500 or less, the commission rate is 17%. If the profit is greater than $500 and less than or equal to $1,100, the commission rate is 20%. If the profit
Max works x hours per week and has a 3-week vacation each year. Mindy works y hours per week and has a 4-week vacation each year. Express their combined number of work hours per year.
Melissa has bought a $2 state lottery ticket every week for the past 20 years. This week she won for the first time—$2,000. Compare these winnings to her total investment, and explain if the lottery was a worthwhile endeavor for her.
How many days are in the billing cycle? ACCOUNT INFORMATION Account Number TRANSACTIONS 9 MAY 12 MAY 15 MAY 18 MAY 21 MAY SUMMARY 3291684271 Fanelli Furs 594683219 Brooklyn Pets 7677095385 Maple Garage 8765713281 PAYMENT 321447162 Caruso's Restaurant Previous Balance $420.50 4-10700000 Total Credit
What is the previous balance? ACCOUNT INFORMATION Account Number TRANSACTIONS 9 MAY 12 MAY 15 MAY 18 MAY 21 MAY SUMMARY 3291684271 Fanelli Furs 594683219 Brooklyn Pets 7677095385 Maple Garage 8765713281 PAYMENT 321447162 Caruso's Restaurant Previous Balance $420.50 4-10700000 Total Credit
Carlo travels for 3 hours on the highway. His average speed is 55 mi/h. How far does he travel?
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 much will Rachel have to pay?
Sheldon’s monthly periodic rate is 1.95%. What is the APR?
Express the following classified ad rate as a piecewise function. Use a let statement to identify what x and y represent.$29 for the first five lines and $6.75 for each additional line.
Read the quote at the beginning of this section. Interpret the quote in terms of what you have learned about probability.It is a capital mistake to theorize before one has data.
Interpret the quote in the context of what you learned about statistics in this lesson.Statistical thinking will one day be as necessary for efficient citizenship as the ability to read and write.
How might those words apply to what you have learned in this lesson?If the automobile had followed the same development cycle as the computer, a Rolls Royce would today cost $100 [and] get a million miles per gallon.
A local publication charges by the character for automotive ads. Letters, numbers, spaces, and punctuation count as characters. They charge $34 for the first 100 characters, and $0.09 for each additional character. If x represents the number of characters, express the cost c(x) of an ad as a
Interpret the quote in the context of what you learned about auto insurance in this section.Never lend your car to anyone to whom you have given birth.
Explain how the quote can be interpreted given what you have learned.It takes 8,460 bolts to assemble an automobile, and one nut to scatter it all over the road.
The ratio of hybrid cars to gasoline-powered cars in the parking lot of a local office building is 3:11. If there are 280 cars in the lot and one is to be selected at random to get the reserved parking space nearest the building, find the probability the car selected is a hybrid. Express your
There are 5,280 feet in a mile. Round answers to the nearest unit.a. How many miles does a car traveling at 65 mi/h go in 1 hour?b. How many feet does a car traveling at 65 mi/h go in 1 hour?c. How many feet does a car traveling at 65 mi/h go in 1 minute?d. How many feet does a car traveling at 65
Ron’s car left four skid marks on the road after he slammed his foot on the brake pedal to make an emergency stop. The police measured them to be 55 ft, 55 ft, 62 ft, and 62 ft. What skid distance will be used when calculating the skid speed formula?
There are five solids called Platonic solids. Each Platonic solid has congruent faces, and congrunet angles, and they are shown below. Use the figures to compute the probabilities. Express your answers as fractions.a. An octahedron has eight faces. If the octahedron faces are labeled with the
There are 5,280 feet in a mile. Round answers to the nearest unit.a. How many miles does a car traveling at 42 mi/h go in 1 hour?b. How many feet does a car traveling at 42 mi/h go in 1 hour?c. How many feet does a car traveling at 42 mi/h go in 1 minute?d. How many feet does a car traveling at 42
Shannon’s new car sold for $28,000. Her online research indicates that the car will depreciate exponentially at a rate of 5.25% per year. Write the exponential depreciation formula for Shannon’s car.
A local newspaper charges d dollars for a three-line classified ad. Each additional line costs a dollars. Express the cost of a six-line ad algebraically.
Yolanda is planning a 778-mile trip to visit her daughter in Maryland. She plans to average 50 miles per hour. At that speed, approximately how long will the trip take? Express your answer to the nearest tenth of an hour. Then express your answer to the nearest minute.
Ronald bought a new car and received these price quotes from his insurance company.a. What is the annual premium?b. What is the semi-annual premium?c. How much less would Ronald’s semiannual payments be if he dropped the optional collision insurance?
Jennie’s car left three skid marks on the road surface in her highway accident. They measured 35 ft, 38 ft, and 47 ft. What skid distance will be used when calculating the skid speed formula?
The distribution of ages of licensed drivers shopping at the Kalish County Mall is normally distributed with mean 41 and standard deviation 7. A person will be selected at random. Round your answers to the nearest hundredth.a. What is the probability that the person is age 48 or older?b. What is
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 1 hourb. meters in 1 hourc. meters in 1 minuted. meters in 1 second
Gloria pays her insurance in three installments each year. The first payment is 40% of the annual premium, and each of the next two payments is 30% of the annual premium. If the annual premium is $924, find the amounts of the three payments. personal injury protection bodily injury
Steve’s SUV has a 17-gallon gas tank. The SUV gets an estimated 24 miles per gallon. Approximately how far can the SUV run on half a tank of gas?
The following table shows music preferences found by a survey of the faculty at a local university. Express your answers in fraction form.a. Find the probability that a randomly selected person from this group likes country music.b. What is the probability that a randomly selected person from this
Lupe’s car left two skid marks each A feet long and two skid marks each B feet long after she had to apply the brakes fast to avoid hitting a car. Write the algebraic expression that represents the skid distance that will be used in the skid speed formula.
The straight line depreciation equation for a luxury car is y = 23,400x + 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 take for the car to totally depreciate?
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 1 hourb. meters in 1 hourc. meters in 1 minuted. meters in 1 second
Laura’s new car cost her $21,000. She was told that this make and model depreciates exponentially at a rate of 85 % 8 per year. How much will her car be worth after 100 months?
A car is originally worth $43,500. It takes 12 years for this car to totally depreciate.a. Write the straight line depreciation equation that models this situation.b. How long will it take for the car to be worth one-quarter of its original price?c. How long will it take for the car to be worth
Create a list of numbers with two upper outliers and one lower outlier.
Becky is planning a 2,100-mile trip to St. Louis to visit a college. Her car averages 30 miles per gallon. About how many gallons will her car use on the trip?
The following Venn diagram describes cars sold last summer at Penny’s Autoland. The letter F represents four-wheel drive, S represents satellite radio, and R represents remote start.a. How many people bought cars with four- wheel drive?b. How many people bought cars with satellite radio and
Ruth 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 be after she drops the collision insurance?b. What will her quarterly payments be after she drops the
Determine the distance covered by a car traveling x km/h for each unit and time given.a. kilometers in 1 hourb. meters in 1 hourc. meters in 1 minuted. meters in 1 second
Luisa 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.
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 condition.a. Find the mean of the trim prices to the nearest dollar.b. Find the median of the trim
Explain why you cannot find the range of a data set if you are given just the four quartiles.
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 the spreadsheet formula that will calculate the minimum skid speed in cell B9. The format for finding a
Robbie’s car gets M miles per gallon. Write an algebraic expression that represents the number of gallons he would use when traveling 270 miles.
Gary has $10,000 worth of property damage insurance. He collides with two parked cars and causes $12,000 worth of damage. How much money must Gary pay after the insurance company pays its share?
The straight line depreciation equation for a car is y = 22,750x + 22,000.a. What is the car worth after 5 years?b. What is the car worth after 8 years?c. Suppose that A represents a length of time in years when the car still has value. Write an algebraic expression to represent the value of the
Mindy is driving 32 mi/h as she nears an elementary school. A first-grade student runs into the street after a soccer ball, and Mindy reacts in about three-quarters of a second. What is her approximate reaction distance?
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. Create an expense and depreciation function where x represents the number of months.b. Graph these
Mitzi looked up prices of 13 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, $13,000, $13,000, $14,500, and $23,000.a. Find the range.b. Find the four quartiles.c. Find the interquartile
Michael used his car for business last weekend. When he reports the exact number of miles he traveled, the company will pay him 52 cents for each mile. At the beginning of the weekend, the odometer in Michael’s car read 74,902.6 miles. At the end of the weekend, it read 75,421.1 miles.a. How many
Ravi was driving on an asphalt road with a drag factor of 0.75. His brakes were working at 85% efficiency. He hit the brakes in order to avoid a dog that ran out in front of his car. Two of his tires made skid marks of 36 ft and 45 ft, respectively. What was the minimum speed Ravi was going at the
The straight line depreciation equation for a car is y = 22,680x + 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 length of time in months when the car still has value. Write an algebraic expression to represent the
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 1 hourb. feet in 1 hourc. feet in 1 minuted. feet in 1 second
A graphing calculator has determined this exponential regression equation based on car value data: y = a*bx , a = 18,547.23, and b = 0.8625. What is the rate of depreciation for this car? How much is this car worth after 6 years; 78 months; w months?
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 the mean to the nearest mile.c. Find the median.d. Find the mode(s).e. Find the range.f. Find the four
Lenny’s car gets approximately 20 miles per gallon. He is planning a 750-mile trip.a. About how many gallons of gas should Lenny plan to buy?b. At an average price of $2.20 per gallon, how much should Lenny expect to spend for gas?
The historical prices of a car are recorded for 11 years as shown.a. Construct a scatter plot for the data.b. Determine the exponential depreciation equation that models this data. Round to the nearest hundredth.c. Determine the depreciation rate.d. Predict the value of this car after 3½ years.
Leslie has comprehensive insurance with a $500 deductible on her van. On Halloween her van is vandalized, and the damages total $1,766. Leslie submits a claim to her insurance company.a. How much must Leslie pay for the repair?b. How much must the insurance company pay?
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 distance?c. About how many feet does the car travel from the time he switches pedals until the car has
Francoise’s car gets about 11 kilometers per liter. She is planning a 1,200-kilometer trip.a. About how many liters of gas should Francoise plan to buy? Round your answer to the nearest liter.b. At an average price of $0.89 per liter, how much should Francoise expect to spend for gas?
Felix has $10,000 worth of property damage insurance and a $1,000 deductible collision insurance policy. He had a tire blowout while driving and crashed into a $1,400 fire hydrant. The crash caused $1,600 in damages to his car.a. Which insurance covers the damage to the fire hydrant?b. How much
A car is traveling at 57 mi/h before it enters into a skid. The drag factor of the road surface is 1.1, and the braking efficiency is 100%. How long might the average skid mark be to the nearest tenth of a foot?
Complete the chart for entries a–j. Speed 40 mi/h 30 mi/h 20 mi/h 15 mi/h 5 mi/h Reaction Distance a. b. C. d. e. Braking Distance f. g. h. i.
The historical values of a car are recorded for 17 years as shown.a. Construct a scatter plot for the data.b. Determine the exponential depreciation formula that models this data. Round to the nearest hundredth.c. Determine the depreciation rate.d. Predict the value of this car after 140 months.
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 worth half its value?c. How long will it take for the car to be worth $10,000? Round your answer to
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 insurance, a $1,000 deductible on his collision and comprehensive insurance, and $50,000 no-fault
Steve is driving at 35 mi/h when he makes an emergency stop. His brakes lock and his tires leave four skid marks of equal length. The drag factor for the road surface was 0.97 and his brakes were operating at 90% efficiency. How long might the skid marks be to the nearest foot?
Gina has 250/500/50 liability insurance and $50,000 PIP insurance. One afternoon, she changed lanes too quickly, hit the metal guard rail, and then hit a tour bus. Four people are seriously hurt and sue her. Twenty others have minor injuries. Gina’s boyfriend, who was in her car, was also hurt.a.
Jason uses his car for business. He must keep accurate records so his company will reimburse him for his car expenses. When he started his trip, the odometer read 42,876.1. When he ended the trip, it read 43,156.1. Jason’s car gets 35 miles per gallon. His tank was full at the beginning of the
Eric must pay his p dollar annual insurance premium by himself. He works at a job after school.a. Express how much he must save each month to pay this premium algebraically.b. If he gets into a few accidents and his company raises his insurance 15%, express how much he must save each month to meet
Jerome 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 dollars?
Complete the chart for entries a–l. Number of gallons purchased 10 12 17 26 15 G Price per gallon $1.99 $2.08 $2.15 $2.30 D P Total gas cost a. b. C. d. e. f. Number of people in carpool 4 5 3 6 4 C Gas cost per person g. h. i. j. k. I.
The following two-way table displays information about favorite sports cars that resulted from a survey given to all students at Shore High School.a. Find P(B), P(C), P(B|C) and explain whether or not events B and C are independent.b. What is the probability that a randomly selected student from
Kaylee has 100/300/50 liability insurance and $50,000 PIP insurance. She drives through a stop sign, hits a telephone pole, and ricochets into a minivan with eight people inside. Some are seriously hurt and sue her. Others have minor injuries. Three passengers in Kaylee’s car are also hurt.a. The
An accident reconstructionist takes measurements of the yaw marks at the scene of an accident. What is the radius of the curve if the middle ordinate measures 4.8 feet when using a chord with a length of 42 ft? Round your answer to the nearest tenth of a foot.
Chaz bought a 2-year-old car. He paid D dollars. This make and model depreciates at a rate of E percent per year. Write an expression for the original selling price of the car when it was new.
Julianne currently pays x dollars for her annual premium. She will be away at college for the upcoming year and will only use the car when she is home on vacations. Since she is using the car much less, she is less of a risk and her insurance company offers her a 35% discount for her annual
The measure of the middle ordinate of a yaw mark is 6 ft. The radius of the arc is 70 ft. What was the length of the chord used in this situation? Round the answer to the nearest tenth of a foot.
Milo’s car straight line depreciates monthly over time. He knew that after 7 months his car was worth $26,930. According to an online car value calculator, after 30 months, he determined that his car was worth $19,800. How much does his car depreciate each month?
Bill left Burlington, Vermont, and traveled to Ottawa, Ontario, the capital of Canada. The distance from Burlington to the Canadian border is approximately 42 miles. The distance from the Canadian border to Ottawa is approximately 280 kilometers. If it took him 4.3 hours to complete the trip, what
The Sundaram 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 insured with the company.a. Express their annual premium after the discount algebraically.b. If they pay their premium
Marc currently pays x dollars per year for auto insurance. Next year, his rates are going to increase 15%. If he completes a defensive driving course, the insurance company will lower his rate by d dollars.a. Express his annual premium for next year algebraically if he completes the course.b.
Jonathan’s car gets approximately 25 miles per gallon. He is planning a 980-mile trip. About how many gallons of gas will his car use for the trip? At an average price of $2.50 per gallon, how much should Jonathan expect to spend for gas? Round to the nearest $10.
A new car sells for $27,300. It exponentially depreciates at a rate of 6.1% to $22,100. How long did it take for the car to depreciate to this amount? Round your answer to the nearest tenth of a year.
The stem and leaf plot shown is called a back-to-back stem-and-leaf plot, and combines two stem and leaf plots. It gives the semi-annual premiums for the girls and boys in Van Buren High School who currently drive. The numbers between the two vertical lines represent the hundreds (left) and tens
Ann’s car gets about 12 kilometers per liter of gas. She is planning a 2,100-kilometer trip. To the nearest liter, how many liters of gas should Ann plan to buy? At an average price of $0.71per liter, how much should Ann expect to spend for gas?
Max is driving 42 miles per hour. A dog runs into the street and Max reacts in about three-quarters of a second. What is his approximate reaction distance?
Complete the chart.1 USD ≈ 1.37 Canadian dollars (CAD) 1 USD ≈ 113.59 Japanese yen (JPY)1 USD ≈ 0.90 euros (EUR) 1 USD ≈ 15.38 South African rands (ZAR)1 USD ≈ 1.40 Australian dollars (AUD) 1 USD ≈ 0.99 Swiss franc (CHF)
Amber bought a used car valued at $16,000. When this car was new, it was sold for $28,000. If the car depreciates exponentially at a rate of 9% per year, approximately how old is the car?
Express the boundary for the upper outliers algebraically, using the modified box-and-whisker plot given below. b C m P y
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? Round to the nearest foot.b. What is her approximate braking distance? Round to the nearest foot.c. About how many feet
Complete the chart. Foreign Currency 85 CAD 1000 EUR 500 AUD USD Equivalent a. b. C. Foreign Currency 130 CHF 222 ZAR 36 JPY USD Equivalent d. e. f.
Cargo is tied with rope on the roof of a 4.5-foot-tall car. The car travels down a road at 40 mi/h and hits a concrete barrier and the rope snaps, allowing the cargo to propel forward. Find the time it takes for the cargo to hit the ground and the horizontal distance the cargo travels. Let y
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 approximately ¾ of a second. Is she far enough away from the traffic jam to safely bring the car to a
Chantel’s car originally sold for $46,600. It depreciates exponentially at a rate of 10.3% per year. Chantel put $12,000 down and pays $800 per month to pay off the balance. After how many years will her car value equal the amount she paid to date for the car? What will that value be?
A local insurance agent visits the high school and tells the students that his insurance company will give them a 10% discount on liability insurance, PIP, comprehensive insurance, and collision insurance for 3 years if they take a defensive driving course. Maria spends $1,276 on her auto insurance
Reid will be driving through Spain this summer. He did some research and knows that the average price of gas in Spain is approximately 1.21 euros per liter.a. What is this amount equivalent to in U.S. dollars?b. What is this rate equivalent to in U.S. dollars per gallon?
Shyla will be driving through South Africa. She has found that the average price of gas in Johannesburg is about $0.82 South African rands per liter.a. What is this amount equivalent to in U.S. dollars?b. What is this rate equivalent to in U.S. dollars per gallon?
A minivan is traveling at 80.5 kilometers per hour. Cargo is strapped to the roof at a height of 1.75 meters. The car hits a concrete barrier, and the cargo is ejected from the roof. Use the following two equations to determine how long it takes for the cargo to hit the ground and how far it

Showing 400 - 500 of 837

Financial Algebra Advanced Algebra With Financial Applications 2nd Edition Robert Gerver, Richard J. Sgroi - Solutions

Step by Step Answers