Question: Felix has $10,000 worth of property

> In February, Robbins and Myers Inc. executed a 2-for-1 split. Janine had 470 shares before the split. Each share was worth $69.48. a. How many shares did she hold after the split? b. What was the post-split price per share? c. Show that the split was

> Black Oyster Corp is going out of business. All of the corporate assets are being sold. The money raised will be split by the stockholders. Which stockholders, the common or preferred, receive money first?

> Write the formula for the mean water bill from April through November using sigma notation and determine that mean. Round your answer to the nearest cent. Monthly Water Bills Jan Feb Mar Apr May June July Aug Sept Oct Nov Dec X, X, X10 X12 $40 $42 $

> Write the formula for the mean water bill for the first 6 months of the year using sigma notation and determine that mean. Round your answer to the nearest cent. Monthly Water Bills Jan Feb Mar Apr May June July Aug Sept Oct Nov Dec X, X, X10 X12 $4

> Write the formula for the mean water bill for the entire year using sigma notation and determine that mean. Round your answer to the nearest cent. Monthly Water Bills Jan Feb Mar Apr May June July Aug Sept Oct Nov Dec X, X, X10 X12 $40 $42 $40 $38 $

> Before the last school year began, it was estimated that the average discretionary personal expenses each school year for a student attending a 4-year public college were $2,110. This past summer Ashley decided to poll seven of her friends attending a 4-

> Debbie buys 400 shares of stock for $23 per share and pays a 1% commission. She sells them 6 years later for $23.25 per share, and pays a $30 flat fee. Are her net proceeds positive or negative? Explain.

> For most people, health club membership expenses are considered discretionary. All lives in a big city and wants to join a health club. She researched monthly membership costs and found the following for health clubs within a 5-mile radius of her apartme

> 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 is expected to use $80 per year in electricity. a. Se

> Air conditioners are rated by BTUs. You learned about BTUs in Section 7-2, Example 6. One watt-hour is equivalent to 3.413 BTUs per hour. a. How many BTUs per hour are equivalent to a kilowatt-hour? b. If an air conditioner is rated at 16,000 BTUs, how

> 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 $2.30.) What was the percent increase in the 11 years from 1

> 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 approximately ¾ of a second. Is she far enough away from the tr

> A large appliance such as a water heater is only running when it has clicked on and is actually heating water. The time your water heater is on varies according to how much you use hot water—do laundry, take showers, run the dishwasher. The national aver

> A certain appliance uses w watts to run. If you run it for m minutes, and the cost per kilowatt-hour is c, the cost of running the appliance for m minutes is given by the formula Find the cost of running an appliance that requires 500 watts for 25 minute

> The Waldner family paid their electric bill using balanced billing all last year. The monthly payment was m dollars. At the end of the year, the electric company told them they had a credit of c dollars due to overpayment. This meant they paid for more e

> The Zlotnick family pays $223 per month for electricity under balanced billing. At the end of the year, they had used more electricity than the balanced billing covered, and they owed the utility company x dollars. Express their total electricity expense

> Last year, the Forrester family spent $1,882.56 for electricity. They are opting to use balanced billing for next year. a. What will their monthly payment be under balanced billing? b. Last year, they had their highest bill in the summer, for $405.67.

> Ron bought x dollars’ worth of stock and paid a y percent commission. Dave purchased p dollars’ worth of stock and paid a q percent commission, where x > p. Pick numbers for x, y, p, and q such that Ron’s commission is less than Dave’s.

> Ron Sargeant’s electric bill from the Longwood Power Authority is shown. If his meter reading for December 17 is 52,344, find the total charges for the December bill. Include all rates and charges as shown on the November bill. LON

> 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 reading is 48,555 gallons, what is the amount of his water

> Jessica’s parents are always telling her to turn off the lights when she leaves her room. The fixture in Jessica’s room requires four bulbs that each use 75 watts of electricity when they’re on. a. Jessica’s parents estimate that she leaves the lights o

> A certain appliance requires 225 watts when it is switched on. How much would it cost to run for m minutes, at a cost of d dollars per kilowatt-hour? Express your answer algebraically.

> 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 ¾ of a second. Is he far enough away to bring the car safely to a complete

> Last winter, Anne was charged $838.35 for 9,315 kWh of electricity. What did her company charge per kilowatt-hour of electricity?

> The Zwerling family installed central air conditioning in their house this summer. They are comparing the electric bills of this summer and last summer. See the data in the table. a. What was the total electric bill this summer? b. What was the total

> The PA system at North High School requires 400 watts when it is switched on. How much would it cost to run for 3 hours, at a cost of $0.10 per kilo watt hour? Round to the nearest cent.

> Home heating oil is sold by the gallon. Last winter, the Romano family used 370 gallons of oil at a price of $2.56 per gallon. If the price increases 9% next year, what will their approximate heating expense be? Round to the nearest ten dollars.

> Bill Heckle’s last electric bill is shown below. a. What was the previous reading? b. What is the present reading? c. How many kilowatt-hours of electricity did Bill use during the service period shown? d. What did Wattco charge pe

> What is the meter reading, in ccf, indicated by each of the gas meters shown? a. b. c. d. O00 2 N 21

> Alex purchases x dollars’ worth of stock on his broker’s advice and pays his broker a 1% broker fee. The value of the shares falls to y dollars years later, and Alex uses a broker who charges 1.25% commission to make the sale. Express his net proceeds al

> 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 bill?

> Interpret the quote in the context of what you know about the major issues in energy consumption today.

> Janine is analyzing spending habits of students in her high school. She finds a mean monthly discretionary expense of $70 spent on having meals out with friends. The standard deviation of a distribution is 5. What is the variance?

> Complete the chart for entries a–j. Speed Reaction Distance Braking Distance 40 mi/h а. f. 30 mi/h b. g. 20 mi/h C. h. 15 mi/h i. "P 5 mi/h j. е.

> The variance of a distribution is 195. What is the standard deviation, rounded to the nearest thousandth?

> 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 cour

> Express the boundary for the upper outliers algebraically, using the modified box-and-whisker plot given below. y

> The mean of a distribution of selected theme park admission prices is $59 with a standard deviation of $3.99. The mean cost of a distribution of a specific home stereo system sold at many different stores is $1,499 with a standard deviation of $4. a. W

> 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

> 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 al

> 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

> How do those words apply to an investor? How do those words apply to a stockbroker?

> Write the profit function for the given expense and revenue functions. E = 220,000p + 190,000 R = 22,170p2 + 187,000p

> 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 off

> Explain how the quote can be interpreted from what you have learned.

> Sixteen men and sixteen women purchased magazine subscriptions. The distribution of prices had the same mean, minimum score, and maximum score. The red markings on each number line below show where their prices fell. a. What is

> 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%, e

> 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 comprehens

> 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 in

> Nico has a personal injury protection policy that covers each person in, on, around, or under his car for medical expenses as a result of an accident. Each person can collect up to $50,000. Nico is involved in an accident and three people are hurt. One p

> 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?

> 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

> 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.

> A guy wire is helping to support a utility pole in Ilsi’s backyard, as shown in the diagram. The point U is located 3 feet below the top of the pole. a. What is the angle of elevation of the guy wire? Round to the nearest degree. b.

> Maria is a stock broker and has been following transactions for Ford Motor Co (F). On Tuesday, the last trade of the day for Ford was posted on the ticker as $12.47. On Wednesday, the last trade of the day was $0.56 higher than Tuesday’s close for a purc

> Ronald bought a new car and received these price quotes from his insurance company. personal injury protection ……………………………………………………………… $234 bodily injury liability ………………………………………………………………………. $266 property damage liability ………………………………………………………………… $1

> 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?

> Interpret the quote in the context of what you learned about auto insurance in this section.

> Emily’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. Her employer uses a graded 5-year vesting formula as shown. After 4 years, Emily le

> A certain company offers a 5-year average retirement formula for their employees. The accountant uses a spreadsheet to keep track of employee benefits. The salaries from the last 5 years of employment are listed in cells B5, B6, B7, B8, and B9. The perce

> Office Industries uses a final average formula to calculate employees’ pension benefits. The calculations use the salary average of the final 4 years of employment. The retiree will receive an annual benefit that is equivalent to 1.4% of the final averag

> The Morning Sun offers employees 1.65% of the average of their last 3 years of annual compensation for each year of service. Ramon began working for the Morning Sun in 1994. He retired in 2016. In 2014, he made $76,000 per year. Thereafter, he received a

> Martina’s employer offers an annual pension benefit calculated by multiplying 2.35% of the career average salary times the number of years employed. Here are Martina’s annual salaries over the last 24 years of employment. Goodbye tension, hello pension!

> Integrated Technologies offers 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 benefit using the schedule shown. After working at Integrate

> Janet is retiring after working for a major department store for 20 years. The company offered her a flat retirement benefit of $50 per year for each year of service. a. What was her monthly income in the first year after retirement? b. What was her an

> Write the pre-split market cap formula in cell B5 and the post-split market cap formula in C5. The ratio for the split is entered in cells B2 and C2. For example, the ratio of 2-for-1 would be entered as a 2 in B2 and a 1 in C2. The number of pre-split

> The Gray family is moving into a new home and they are using a wooden ramp to roll furniture over the stairs at the entrance. The ramp, AB, is shown over the staircase in the diagram. a. How far is the bottom of the ramp, A, from the base of the house,

> Pedro is retiring after working for 27 years at a major bank. The company offers him a flat monthly retirement benefit of $55 for each year of service. What will his monthly pension be?

> The Merrick Oaks School District offers their employees the following annual pension benefit. First 15 Years of Service ……………………………………………. Service in Excess of 15 Years 2.12% multiplier ………………………………………………………………………… 2.25% multiplier Years of service up t

> Sara works for the City of Northbeck. The city calculates an employee’s pension according to the following formula. • Determine the average of the highest 3 years of annual earnings. • Determine the monthly average using the above amount. • Subtract $

> Sunshine Living calculates its pension benefits as follows: Years of service × 2.25%multiplier × Average of last five annual salaries. What is Killian’s annual pension benefit if he worked for Sunshine Living for 16 years and his last annual salaries we

> Jamal is retiring after working 45 years for the same company. The company pays a monthly retirement benefit of $35 for each year of service less than 20 years. The benefit increases by % 1 10 for each year of service beyond 20 years. a. What is Jamal’s

> Peterson Products calculates its pension benefits as follows: Years of service × 1.98%multiplier × Average of last two annual salaries What is Mary’s monthly pension benefit if she worked for Peterson for 28 years and her last two annual salaries were $

> Grant’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 graded 5-year vesting formula as shown. Grant’s starting salary

> Explain how that quote can be interpreted in light of what you have learned in this section.

> A company that produces widgets has found its demand function to be q p 1,500 90,00052 1 . a. For each dollar increase in the wholesale price, how many fewer widgets are demanded? b. How many widgets would be demanded at a price of $20? c. How many wi

> Write the spreadsheet formula that will calculate the post-split price per share in C4. The ratio for the split is entered in cells B2 and C2. For example, the ratio of 2-for-1 would be entered as a 2 in B2 and a 1 in C2. The number of pre-split shares

> Debbie is president of a company that produces garbage cans. The company has developed a new type of garbage can that is animal-proof, and Debbie wants to use the demand function to help set a price. She surveys 10 retailers to get an approximation of ho

> Caroline and her mom are building a skateboard ramp for their driveway. The angled ramp is 20 feet long. It starts on ground level and ends at a height of 1.5 feet. What is the angle of elevation of the ramp? Round to the nearest tenth.

> The supply and demand curves for a new widget are shown in the lower graph on the right. Notice there are two demand curves. The original demand curve is d1. Months after the product was introduced, there was a possible health concernÂ&

> The middle graph on the right shows supply and demand curves for a new MP3 player accessory. a. What is the equilibrium price? b. Describe the relationship of supply and demand if the item were sold for $20. c. Describe the relationship

> The upper graph on the right shows supply and demand curves for the newest Super Widget. a. What is the equilibrium price? b. What will happen if the price is set at $0.98? c. How many SuperWidgets are demanded at a price of $0.98? d. How many Supe

> A bicycle sells for a retail price of b dollars from an online store. The wholesale price of the bicycle is w. a. Express the markup algebraically. b. Express the percent increase of the markup algebraically.

> A CD storage rack is sold to stores at a wholesale price of $18. a. If a store has a $13 markup, what is the retail price of the CD rack? b. Find the percent increase of the markup to the nearest percent.

> 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?

> An interest-only balloon mortgage for a principal of p dollars for 18 years has total interest of t dollars. Express the amount of each monthly payment before the balloon payment algebraically.

> Siegell’s Locksmith Shop is taking out a mortgage on a new building. It is going to be an interest-only, 12-year balloon mortgage for $350,000. The APR is 3.35%. The last payment will be the balloon payment of the full principal. a. Find the total inter

> Write the spreadsheet formula that will calculate the post-split number of outstanding shares in C3. The ratio for the split is entered in cells B2 and C2. For example, the ratio of 2-for-1 would be entered as a 2 in B2 and a 1 in C2. The number of pre

> Construct a candlestick chart for the data presented in Exercise 13. Exercise 13: Use the following data to construct a stock bar chart for the 5-day period. Day Open Close High Low Volume 1 59.75 59.60 60.00 59.22 7,900,000 59.15 60.20 60.50 59.

> Construct a candlestick chart for the data presented in Exercise 12. Exercise 12: Use the following data to construct a stock bar chart for the 5-day period. Day Open Close High Low Volume 1 20.48 20.24 20.50 20.20 58,000,000 2 20.21 20.25 20.30

> The Americans with Disabilities Act (ADA) states that ramps for wheelchairs should have a slope of 1/12 or less. The Glen Head Boys Club built a ramp for a local school. The dimensions of the ramp are shown below. a. What is the height of the ramp at p

> Use the candlestick chart to answer the questions. a. On which days were opening prices higher than the closing prices? b. On which days were the closing prices higher than the opening prices? c. What was the approximate closing price on April 28? d

> Use the following data to construct a stock bar chart for the 5-day period. Day Open Close High Low Volume 1 59.75 59.60 60.00 59.22 7,900,000 59.15 60.20 60.50 59.15 8,000,000 3 60.00 59.58 60.61 59.55 8,200,000 4 59.55 60.90 60.90 59.37 7,000,000

> Use the following data to construct a stock bar chart for the 5-day period. Day Open Close High Low Volume 1 20.48 20.24 20.50 20.20 58,000,000 2 20.21 20.25 20.30 20.00 52,000,000 3 20.30 20.10 20.34 20.02 42,000,000 4 20.17 20.44 20.45 20.10 50,00

> Suppose that the volume numbers had been listed in hundreds on the table. How would that have changed the labels? 695 690 685 680 675 670 665 660 655 650 Volume - 60 40 20 Apr. 28 29 30 May 1 2. Thousands

> Approximately how many fewer shares were traded on April 28 than on May 2? 695 690 685 680 675 670 665 660 655 650 Volume - 60 40 20 Apr. 28 29 30 May 1 2. Thousands

> Interpret the quote in the context of what you learned about supply and demand in this lesson.

> Approximately how many shares were traded on April 30? 695 690 685 680 675 670 665 660 655 650 Volume - 60 40 20 Apr. 28 29 30 May 1 2. Thousands

> On December 14, XTO Energy Inc. executed a 5-for-4 split. At that time, Bill owned 325 shares of that stock. The price per share was $65.80. After the split he received a check for a fractional part of a share. What was the amount of that check?

> What was the approximate net change from April 30 to May 1? Express that net change as a monetary amount and as a percent to the nearest tenth. 695 690 685 680 675 670 665 660 655 650 Volume - 60 40 20 Apr. 28 29 30 May 1 2. Thousands