Question: A local judicial system is seeking information

> For many travelers, the cost of getting to an airport needs to be factored into the travel expense. The table at the right lists the cost of six different ways to get from the center of a major city to the nearest airport. A researcher polled travelers t

> The following table shows the number of times Key Club students at Peconic High School went to Echo Beach last summer. Number of Echo Beach Trips ……………………………………………………… Frequency, f 5 …………………………………………………………………………………………………………………. 8 6 ………………………………………………………

> Jacques is planning to set up a $70,000 investment portfolio. He plans on investing 20% in stock, 20% in bonds, 20% in collectibles, and the remainder into a 10-year certificate of deposit. a. How much is invested in the CD? b. If the CD earns 6% inter

> The following spreadsheet can be used to compute monthly payments given the APR, principal, and term of the loan. a. Write the spreadsheet formula to compute cell D2. b. Write the spreadsheet formula to compute cell E2. c–h. Use you

> A loan used for buying a home is called a mortgage. The Fortunato family is borrowing $430,000 to buy a home. They are taking out a 30-year mortgage at a rate of 3.55%. a. Compute the monthly payment to the nearest cent. b. Find the total of all of the

> Lee wanted to compute the monthly payment on a 2-year, $8,400 loan at an APR of 3.07%. She entered the keystrokes at the right on her calculator. The display gives an answer of 48, which Lee knows is incorrect. Explain what her error was. 8400 (0.03

> Use the cruise ship room price table in problem 7 above to determine the percentile rank of $6,962.

> Olivia is considering membership to the Regional Teachers’ Credit Union so that she can save money on a loan. The credit union will lend her $8,000 for 3 years at 2.25% APR. The same loan at her savings bank has an APR of 2.9%. How much would Olivia save

> Reggie needs a quick x-dollar loan until his next payday in 2 weeks to take advantage of a sale on ski equipment. The bank would take too long on the paperwork, so he goes to a pawnshop. The pawnshop will only lend him 25% of the value of his collateral.

> Solomon is taking out a $15,320, 2-year loan with an APR of 3.29%. What will be the finance charge for this loan to the nearest dollar?  

> Lavonda took out a $7,500 loan with an APR of 3.875% and agreed to pay it back monthly over 6 years. How many monthly payments did she make?

> Jordan is taking out a 2-week payday loan for $600. He will be charged $95 interest for the 2-week loan. What is the APR for this loan?

> Since vacation travel is a discretionary expense, consumers want to make the most out of the money they have budgeted. They often check travel websites for hotel ratings before making any reservations. A popular travel website offers travelers the opport

> The policy of the Broadway Pawnshop is to lend up to 35% of the value of a borrower’s collateral. John wants to use a $3,000 ring and a $1,200 necklace as collateral for a loan. What is the maximum amount that he could borrow from Broadway?

> Rob bought a 1965 Fender Jazz master vintage electric guitar in 1980 for a price of $150. In 2017 it was appraised for $4,500. You are going to compare this appraised value to what the $150 would have earned if it was deposited in a certificate of deposi

> Melissa wants to check the accuracy of the finance charge on her promissory note. She has a $6,000, 4-year loan at an APR of 3.11%. Round to the nearest cent. a. What is her monthly payment? b. What is the total of all her monthly payments? c. What is

> Darnelle has a $10,000, 3-year loan with an APR of 5%. She uses the table on page 159 to compute information on the loan. a. What is her monthly payment? b. What is the total of all her monthly payments? c. What is the finance charge?

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

> How many monthly payments must be made for a 2½-year loan?

> How many more monthly payments are made for a 5-year loan than for a 2-year loan?

> The quartiles of a data set are Q1 = 50, Q2 = 72, Q3 = 110, and Q4 = 140. Find the interquartile range.

> Interpret the quote in the context of what you learned about statistics in this lesson.

> Rochelle turned age 62 in 2016. She earned an average of x dollars per month (adjusted for inflation) over her highest-paying 35 years, where x > 5,157. Express her Social Security full retirement benefit algebraically.

> The senior class is planning a graduation trip. The trip committee surveyed the 250 seniors asking the amount they were willing to spend on the entire trip. The survey results are shown in this table. Amount ……&ac

> Rachael turned age 62 in 2016. a. Compute her Social Security full retirement benefit if her average monthly salary over her 35 highest-paying years was $3,100. Round to the nearest cent. b. If she starts collecting her benefit at age 66, what will her

> Stacy was a stay-at-home mom for most of her adult life. At age 46, she started working outside the home. Each year she earns the maximum number of Social Security credits. Until what age must she work to qualify to receive Social Security benefits when

> When Abram was born, his parents put $2,000 into an account that yielded 1.2% interest, compounded semi-annually. When he turns age 16, his parents will give him the money to buy a car. How much will Abram receive on his 16th birthday?

> In 1980, the amount of earnings required to earn one Social Security credit was $290. Back then, Mike earned $55 per week. How many credits did he earn in 1980?

> An educational organization is planning to analyze the study habits of college freshmen. A professor at Harvard University volunteers to have his class take the survey. a. What type of sample is this? b. Can you list some disadvantages of surveying thi

> In 1978, the amount of earnings required to earn one Social Security credit was $250. Thirty-eight years later, in 2016, this amount was $1,260. What was the percent increase in the amount required to earn a credit over this 38-year span? Round to the ne

> In a certain year, the maximum taxable income for Social Security was x dollars and the tax rate was 6.2%. a. Express algebraically the maximum Social Security tax anyone could have paid in that year? b. Paul had two jobs that year. One employer paid h

> In 2016, the maximum taxable income for Social Security was $118,500 and the tax rate was 6.2%. a. What is the maximum Social Security tax anyone could have paid in the year 2016? b. Randy had two jobs in 2016. One employer paid him $67,010 and the othe

> This year Frank pays m dollars for Medicare Part B coverage. He reads that this cost will go up 12.3% next year. Express next year’s cost algebraically.

> If George pays x dollars monthly for Medicare Part B coverage, express his annual cost for Part B coverage algebraically.

> The following table lists the amount of discretionary spending by college students from 2008 to 2013 in billions of dollars. a. Write the formula for the mean yearly college student discretionary spending amount over the 6-year period using sigma notat

> Linda and Rob are married filing a joint Form 1040. Rob is collecting Social Security, but Linda is not. They are filling out the Social Security worksheet (shown in Exercise 11) so they can determine the amount of Rob’s Social Security benefits that the

> Roberta’s Social Security full retirement benefit is $2,101. She started collecting Social Security at age 64, and her benefit is reduced since she started collecting before age 67. Find her approximate Social Security benefit.

> Dominique is single. She is filling out the Social Security worksheet so she can determine the amount of her Social Security benefits that she will pay federal income tax on. Fill in the following lines with Dominique’s tax information

> Barbara wants to restore her ’66 Mustang in 4 years. She puts $200 into an account every month that pays 1.05% interest, compounded monthly. How much will be in the account after 4 years?

> Sascha was born in 1951. Her Social Security full retirement benefit is x dollars. She started collecting Social Security at age 65, so her benefit is reduced. Express her approximate Social Security benefit algebraically.

> Interpret the quote in the context of what you know about American history and/or the challenges facing senior citizens.

> As part of a study on exercising, Liam has to use a treadmill for 20 minutes each day, and then take and record his heart rate and blood pressure. Liam skips days, sometimes doesn’t do the entire 20 minutes, and sometimes forgets to record his heart rate

> A school’s student government organization is doing a study of students who copy each other’s homework. They randomly select 200 students and have them fill out an anonymous questionnaire. Which do you think is a greater problem in this scenario, nonresp

> Imagine a population of six brands of sneakers; All Star, Bikees, Cadverse, Didas, Evia, Falance. Represent these brands by the letters A, B, C, D, E, and F. a. How many different samples of size 2 can be taken without replacement? b. Make a list of al

> The New York Metropolitan area has nine major professional sports teams: Mets (M), Yankees (Y), Knicks (K), Rangers (R), Devils (D), Nets (N), Islanders (I), Giants (G), Jets (J) Marra’s Sporting Goods is going to randomly pick three teams to feature in

> Jack wants to buy a pair of name-brand headphones on a popular auction website. He enters the brand, make, and model number and searches the site for what is available. He notices that some headphones are being offered as “buy now&acirc

> Barnes and Noble had a $0.15 annual dividend during 2016. If you owned 500 shares of Barnes and Noble at that time, how much did you receive on a quarterly dividend check?

> The social studies department at Fox Ridge High School is looking to determine the current events knowledge of their juniors. Mrs. Gonzalez has a class of juniors in her social studies class and agrees to give the survey there. Explain why this survey is

> 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. Only four at a time can ride in the car. How many different samples of four, taken without replacement,

> Write a formula to determine the net change for each. Use the left side of the equation to indicate in which cell to store the formula. a. Microsoft Corp b. Apple Inc. A B C D E G H 1 February 25 Close February 24 Volume in Close Volume in Symbol

> When Derrick turned age 15, his grandparents put $10,000 into an account that yielded 1.4% interest, compounded quarterly. When Derrick turns 18, his grandparents will give him the money to use toward his college education. How much does Derrick receive

> Write the profit function for the given expense and revenue functions. E = 212,500p + 178,000 R = 21,450p2 + 155,000p

> Write a formula to determine the percent change for each of the following. Use the left side of the equation to indicate in which cell to store the formula. a. Apple Inc. b. Cooper Tire & Rubber Co A B C D E G H 1 February 25 Close February 2

> Write a formula to determine the close on February 24 for each of the following. Use the left side of the equation to indicate in which cell to store the formula. a. NETGEAR Inc. b. Ford Motor Co A B C D E G H 1 February 25 Close February 24 Volu

> Write a formula that will store the exact volume for each stock in column I. Use the left side of the equation to indicate in which cell to store the formula. a. Build-A-Bear Workshop Inc. b. NETGEAR Inc. A B C D E G H 1 February 25 Close Februar

> 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, 3 If all samples of size 2 are taken with replacement, determine if the standard deviation is an unbiased es

> Isaac follows the market action of Google Inc. He has watched the prices for 2 consecutive days. The information he collected is given in the table. Do the September 23 numbers reflect a positive or negative money flow? Explain. Date High Low Close

> 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 policy. Rather than take a simple random sample, they want the sample to have the same percentage breakdown of

> 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 state bake. Marketing assistants randomly call homes during their 9:00 a.m.–5:00 p.m. work shift, and find ou

> Interpret the quote in terms of what you have learned about the importance of sampling to marketing.

> Which of the following is a true statement? Explain your reasoning. The 52-week high can never be higher than the day’s high. The day’s high can never be higher than the 52-week high.

> If the April 23 net change for Toyota was 10.79, what was the closing price for that day? Low 52-Week High 52-Week Low Symbol 198,600 Stock Last Change Volume High 232,420 BRK-A Berkshire 199,740 +35 186 198,800 198,700 Hathaway 51.44 38.06 VZ Veriz

> On April 22, which stock(s) had a 52-week high that was approximately 30% higher than the 52-week low? Low 52-Week High 52-Week Low Symbol 198,600 Stock Last Change Volume High 232,420 BRK-A Berkshire 199,740 +35 186 198,800 198,700 Hathaway 51.44 3

> Arianna deposits $500 in an account that pays 1.3% interest, compounded semi-annually. How much is in the account at the end of 2 years?

> 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 question. Round answers to the nearest tenth of a percent. Low 52-Week High 52-Week Low Symbol 198,600 S

> Determine the closing price on April 21 for each of the following stocks. a. Delta Airlines b. Verizon Low 52-Week High 52-Week Low Symbol 198,600 Stock Last Change Volume High 232,420 BRK-A Berkshire 199,740 +35 186 198,800 198,700 Hathaway 51.4

> Rewrite the volume for each of the following stocks as “sales in 100s.” a. Berkshire Hathaway Inc. b. McDonald’s Corp c. Verizon d. Toyota Low 52-Week High 52-Week Low Symbol 198,600 Stock L

> During the baby boomer years, approximately 76 million Americans were born. Now, more than 10,000 Americans turn 65 every day. By 2030, there will be more than 1 million 100-year-olds in this country. Examine these population figures and estimates about

> What is the difference between the day’s high and low prices for McDonald’s Corp? Low 52-Week High 52-Week Low Symbol 198,600 Stock Last Change Volume High 232,420 BRK-A Berkshire 199,740 +35 186 198,800 198,700 H

> What was the difference between the 52-week high and 52-week low price for one share of Delta Airlines? Low 52-Week High 52-Week Low Symbol 198,600 Stock Last Change Volume High 232,420 BRK-A Berkshire 199,740 +35 186 198,800 198,700 Hathaway 51.44

> Write a formula that will convert the volume given in 1,000s into a volume given in 100s. Use the left side of the equation to indicate in which cell to store the formula. a. Intel Corp b. Yahoo! Inc. A B C D E G H 1 February 25 Close February 24

> On February 26, Berkshire Hathaway closed at $197,690 per share. One year earlier, one share closed at $223,970. What was an approximate 1-year percent change? A B C D E G H 1 February 25 Close February 24 Volume in Close Volume in Symbol Stock Chan

> At the end of the trading day on April 25, Riveters Inc. closed at $28.84, which was a 15.22% net change from the previous day’s close. What was the approximate close on the previous day?

> Why might the buyer and seller of the same stock both think that their trading price was an “astute” decision? How might those words apply to what you have learned? Low 52-Week High 52-Week Low Symbol 198,600 Stoc

> Elizabeth is a landscape designer. She designed a small pond with a fountain that her company plans to manufacture and market. It is a free-form shape, and the company wants to include the area of the pond on the packaging. a. She takes a model of the p

> Suppose that $1,000 is deposited into an account that yields 0.85% interest, compounded annually. How much money will be in that account at the end of 4 years?

> Giuliana is having one wall of her den covered in brick. She needs to find the area of the wall, excluding the doors and the windows. A diagram of the walls is shown. a. Giuliana creates a scale drawing to bring to the contractor. She uses the scale &A

> A gazebo in the shape of a regular hexagon (six sides) has side length s and apothem a. If the cost per square unit of flooring is c, express the total cost T of the floor algebraically.

> Google is derived from the number googol, which is a 1 with 100 zeros following it. This is equivalent to 10100. Despite the original accidental change in spelling (but not pronunciation), the name still elicits the idea of something very large. How larg

> A rectangular room measures x feet by y feet, where x , y. The ceiling is c feet high. The walls and the ceiling will be painted the same color. a. Express the area of the smaller wall and the larger wall algebraically. b. Express the total area of the

> A gazebo in the shape of a regular octagon has equal sides of 9 feet and an apothem of 10.9 feet. a. If one side of a gazebo is open and the other sides have a railing, find the cost of the railing if it sells for $7.90 per foot. b. Find the area of the

> A rectangular room is 14 feet by 20 feet. The ceiling is 8 feet high. a. Find the length and width of the smaller wall. b. Find the area of the smaller wall. c. Find the area of the larger wall. d. Find the total area of the four walls in the room.

> A rectangular room has length L and width W, where L and W are measured in feet. a. Express the area in square feet algebraically. b. If carpeting costs x dollars per square yard, express the cost of carpeting this room algebraically.

> A rectangular room measures 13 feet by 15 feet. It is going to be carpeted with carpeting that sells for $68 per square yard. a. What is the area of the room in square feet? b. If the scale of the room drawing is ¼ inch 5 1 foot, give the dimensions of

> Tom earns $15.50 per hour at the Yankee Bowling Alley. He regularly works 40 hours per week. He is paid time-and-a-half for each hour of overtime work. Last week he worked 42 hours. What was his gross pay for the week?

> Amy regularly works 20 hours per week at Pook’s Dry Cleaners from Monday through Friday. She earns $15.50 per hour and receives double-time pay for working Sundays. Next week she will work her regular 20 weekday hours, and an additional 8 hours on Sunday

> Many people claim that once they are married, they pay more taxes than they did before they were married. Many call this a marriage penalty. Suppose that Leni and Thom are lawyers and each has a taxable income of $230,000. They can’t de

> You are constructing a future value spreadsheet. Users will be asked to enter the periodic investment in cell A3, the interest rate as an equivalent decimal in cell A4, the time in years in cell A5, and the number of times per year the interest is compou

> Use the graph of a piecewise function with three equations. a. A taxpayer has a taxable income of $39,800. What is her tax? b. A taxpayer will owe $21,197. What is his taxable income? c. What is the approximate tax for an income of $30,000? d. W

> At the beginning of the chapter, you were given the weights of the heaviest buildings ever moved. The Fu Gang Building in China was quoted in metric tons. A metric ton is about 10% heavier than an English standard ton. Let’s try to get a feeling for how

> Examine Schedule Y-2. Let x represent the taxable income and y represent the tax. a. What is the calculator keystroke sequence for an equation that models the tax on the interval over 37,450 but not over 75,600? b. What is the calculator keystroke seq

> Examine the following Section C tax computation worksheet. Let x represent the taxable income and y represent the tax. a. Let Y1 represent the graphing calculator function for taxable incomes on the interval over $100,000 but not over $115,225. Write t

> Elizabeth (from Exercise 9) is designing another backyard pond for her company. She follows the same procedure to find the area. She first creates an x by y rectangle to frame her pond design. She generates 10,000 random points inside the rectangle and p

> Interpret the quote in the context of what you think the difference is between a house and a home.

> Use the Section D tax computation worksheet for a head-of-household taxpayer. Let x represent the taxpayer’s taxable income and y represent the tax. Express each line of the worksheet as a linear equation in y = mx + b form. Use interva

> In 1998, a single taxpayer used this 1998 Schedule X. Let x represent the single taxpayer’s taxable income and y represent that taxpayer’s tax. Express the tax schedule as a piecewise function. 1998 Tax Rate Sched

> John’s weekly salary is $478.25. His employer is changing the pay period to semimonthly. a. What is John’s annual salary? b. What will John’s semimonthly salary be to the nearest cent?

> Use the 2012 Schedule Y-1 for a married taxpayer filing jointly. Write the piecewise function for the tax intervals. 2012 Tax Rate Schedule Schedule Y-1-f your filing status is Married filling jointly or qualifying widow(er) If your taxable income i

> Use the 2000 Schedule Y-1 for a married taxpayer filing jointly. Write an equation in 51 ymxb form for a taxable income in the interval over $105,950 but not over $161,450. 2000 Tax Rate Schedule Schedule Y-1- If your filing status is Married filing

> Sydney invests $100 every month into an account that pays 0.8% annual interest, compounded monthly. Benny invests $80 every month into an account that pays 2.2% annual interest rate, compounded monthly. a. Determine the amount in Sydney’s account after