Hector had y dollars in his savings account. He made a deposit of $20 bills and 1-dollar coins. He had four times as many $1 coins as he had $20 bills and the total of his $20 bills was $60. Write an expression for the balance in Hector’s account after the deposit.
> Let w represent the tax for any taxable income t on the interval 411,500 < t < 439,000. a. Calculate the lowest tax on this interval. b. Calculate the highest tax on this interval. c. Given the interval, 41,500 < t < 439,000, express the tax in terms
> Let x represent a head-of-household taxpayer’s taxable income that is over $439,000. Write an expression for this taxpayer’s tax in terms of x. Section D-Use if your filing status is Head of household. Complete t
> Calculate the tax for each of the taxable incomes of a head-of-household taxpayer. a. $400,000 b. $108,962 c. $201,102 d. $106,000 Section D-Use if your filing status is Head of household. Complete the row below that applies to you. (c) Таx Sub
> Maureen’s taxable income, t, is between $129,600 and $209,850. Write an algebraic expression that represents her tax. Schedule Z-If your filing status is Head of household The tax is: If your taxable income is: of the amount over-
> How can the quote be interpreted in light of what you have learned?
> Kareem earns y dollars per month at his accounting job. Express his annual salary using the K abbreviation found in classified ads.
> Pat earns $575 per week at her new job. Express her annual salary using the K abbreviation found in classified ads.
> Roger is a graphic artist, so his resumé is several pages long and includes an artistic portfolio. His prospective employers want hard copies of his resumé, so he wants to have 400 copies of his resumé printed. His local print shop charges $91.50 for the
> Maple Place Garage is posting five job listings with the online service from Example 4 in the Skills and Strategies section. a. How much is each posting? b. How much less does Maple Place pay per posting compared to the price for one posting? c. What
> The Rockville Recruitment Agency just placed Howard Jacobson in a job as an assistant pharmacist. The job pays $51.2K. The agency fee is equal to 40% of the first 3 weeks’ pay. a. What is Howard’s weekly salary to the nearest cent? b. What will Howard
> Mike owns 2,400 shares of JXV. The company instituted a 1-for-8 reverse stock split on October 17. The pre-split market price per share was $2.13. a. How many shares did Mike hold after the split? b. What was the post-split price per share? c. Show th
> A spreadsheet has been started for the user to enter information in the cells noted below. a. Write a formula to calculate the speed of the car for the trip in cell C1. b. Write a formula to calculate the number of gallons of gas used in cell C2. c
> Melanie got a new employer-paid job through the Jones Recruitment Agency. The job pays $52,400 per year, and the agency fee is equal to 25% of 1 year’s pay. How much must Melanie’s employer pay the agency?
> Becky just got a new job as an account executive. Human resources said the job pays 64.5K. What will Becky’s weekly salary be to the nearest cent?
> Danny just submitted his resumé in response to a job posting. The posting stated that the job pays $47K annually. What would Danny’s monthly salary be if he gets this job? Round to the nearest cent.
> Ace Auto Repair needs a new mechanic, so they place a help-wanted ad. The Position Posted job website charges $15 to post, plus $2.50 for each of the first five lines and $8 for each additional line. If x is the number of lines in the ad, write a piecewi
> A local coupon mailer charges $11 for each of the first three lines of an ad and $5 for each additional line. a. What is the price of a two-line ad? b. What is the price of a five-line ad? c. If x is the number of lines in the ad, express the cost c(x
> Create a check register for the transactions listed. Download a blank check register from www.cengage.com/financial_alg2e. a. Your balance on 12/15 is $2,546.50. b. On 12/16, you write check 2345 for $54 to Kings Park High School Student Activities. c
> 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.
> The cost of an ad in a local paper is given by the piecewise function. b. Find the difference in cost between a one-line ad and a four-line ad. c. Find the cost of a seven-line ad. d. Graph this function on your graphing calculator. e. Find the coor
> Vilma owns 750 shares of Torchmark. On July 2, the corporation instituted a 3-for-2 stock split. Before the split, each share was worth $82.44. a. How many shares did Vilma hold after the split? b. What was the post-price per share after the split? c.
> An online job-seeking service allows job-seekers to post their resumés for free. The service charges employers looking for applicants a fee to look through the resumés. The fee is based on how long the employer wants access to the resumés, and how many m
> 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 dependent variable. Draw and label the graph of this equ
> Cathy is looking for a job as a bookkeeper. One online job site 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 higher-paying job? b. What is the difference in the weekly
> Joanne is looking for a job as a mechanic and plans to distribute business cards at job fairs related to this industry. Her local printer charges $23 per 100 cards, and sells them only in sets of 100. a. How many cards must Joanne purchase if she needs
> Mike is a veterinarian. He is placing a nine-line job 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 two-line ad and the cost of a 3-line ad. b. Find the cost of a 10
> Interpret the quote in the context of what you learned about job-seeking.
> A local publication charges by the character for its classified ads. Letters, numbers, spaces, and punctuation each count as one character. They charge $46 for the first 200 characters and $0.15 for each additional character. a. If x represents the numb
> Joby had $421.56 in her checking account when she deposited g $20 bills and k quarters. Write an expression that represents the amount of money in her account after the deposit.
> Queens Meadow Bank charges a monthly maintenance fee of $13 and a check-writing fee of $0.07 per check or EFT. Last year, Mark made 289 payments from his account at Queens Meadow. What was the total of all fees he paid on that account last year?
> Anna has an online checking account at Garden City Bank. Her balance at the beginning of February was $5,195.65. During the month, she made deposits totaling $6,873.22, wrote checks totaling c dollars, was charged a maintenance fee of $15, and earned $6.
> On June 5, CIGNA instituted a 3-for-1 stock split. Before the split, CIGNA had 200 million shares with a price of $168 per share. a. How many shares were outstanding after the split? b. What was the post-split price per share? c. Show that this split
> Linda bought a washer and dryer from Mill Page Laundry Supplies for y dollars. She signed an installment agreement requiring a 15% down payment and monthly payments of x dollars for 1 year. a. Express her down payment algebraically. b. How many monthly
> John cashed a check for $630. The teller gave him three $50 bills, eighteen $20 bills, and t $10 bills. Determine the value of t.
> 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 t
> Rich has t dollars in his checking account. On June 3, he deposited w, h, and v dollars and cashed a check that he wrote to himself for k dollars. Write an algebraic expression that represents the amount of money in his account after the transactions.
> Jackie deposited a $865.98 paycheck, a $623 stock dividend check, a $60 rebate check, and $130 cash into her checking account. Her original account balance was $278.91. Assuming the checks clear, how much will be in her account after the deposits are mad
> Create a check register for the transactions listed. There is a $2.25 fee for each ATM use. Print a copy of the check register from www.cengage.com/ financial_alg2e. a. Your balance on 10/29 is $237.47 b. You write check 115 on 10/29 for $18.00 to Fox
> On September 1, Chris Eugene made the following band equipment purchases at Leslie’s Music Store. Calculate her total bill. Complete a check for the correct amount. Print a copy of the check from www.cengage.com/ financial_alg2e.
> Max created a spreadsheet for installment purchase calculations. a. Write a spreadsheet formula to compute the down payment in cell C2. b. Write a spreadsheet formula to compute the time in months in cell F2. c. Write a spreadsheet formula to compute
> Olivia cashed a check for $113. The teller gave her four $20 bills, x $10 bills, and three $1 bills. Find the value of x.
> How might the quote apply to what has been outlined in this section?
> Neka cashed a check for $245. The teller gave him two $50 bills, six $20 bills and f $5 bills. Determine the value of f.
> Lillian purchased a violin from Smash Music Stores. It regularly sold for $670, but was on sale at 10% off. She also had to pay 8% sales tax. She bought it on an installment plan and paid 15% of the total cost with tax as a down payment. Her monthly paym
> Sal bought x shares of a stock that sold for $23.50 per share. He paid a 1% commission on the sale. The total cost of his investment, including the broker fee, was $3,560.25. How many shares did Sal purchase?
> 123 Savings and Loan charges a monthly fee of $8 on checking accounts and an overdraft protection fee of $33. Neela’s check register showed she had a balance of $456 when she wrote a check for $312. Three days later she realized her check register had an
> Ridgewood Savings Bank charges a $27 per check overdraft protection fee. On July 8, Nancy had $1,400 in her account. Over the next 4 days, the following checks arrived for payment at her bank: July 9, $1,380.15; July 10, $670 and $95.67; July 11, $130; a
> Gary and Ann have a joint checking account. Their balance at the beginning of October was $9,145.87. During the month they made deposits totalling $2,783.71, wrote checks totalling $4,871.90, paid a maintenance fee of $12, and earned $11.15 in interest o
> Download a copy of the check register shown below from www.cengage.com/ financial_alg2e. Complete items a through z. PLEASE BE SURE TO DEDUCT CHANGES THAT AFFECT YOUR ACCOUNT ITEM NO. FOR TRANSACTION SUBTRACTIONS ADDITIONS BALANCE FORWARD AMOUNT OF
> Write the sigma notation mean formula for the consecutive 3-month period that would have the highest mean of the year. Monthly Water Bills Jan Feb Mar Apr May June July Aug Sept oct Nov Dec X, 10 X, 12 $40 $42 $40 $38 $48 $50 $58 $62 $56 $46 $44 $44
> 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
> 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
> 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
