Question: The Cold Spring High School student government

> 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

> 1. Use the Tax Freedom Day data in the chapter opener to create a line graph. Let the x-axis represent the year and the y-axis represent the numerical day of the year on which Tax Freedom Day falls. (Hint: April 1 is the 91st day of a non-leap year. Apri

> Write a piecewise function to represent the tax f (x) for the first three taxable income intervals in Schedule Y-2 for a married taxpayer who is filing separately. Schedule Y-2-If your filing status is Married filling separately If your taxable inco

> Let y represent the tax and x represent the taxable income of a single taxpayer. a. Use the tax schedule to write three equations in 51 ymxb form for values of x that are greater than or equal to $200,000. b. Use the distributive property and combine

> There are seven taxable income intervals in this chart. Let x represent any taxable income. Express those intervals in tax schedule notation, compound inequality, and interval notation. Schedule X-If your filing status is Single If your taxable inco

> You are given this portion of a tax schedule from a previous year for single taxpayers with incomes over $71,950. a. Model each of the three rows as a simplified equation in y = mx + b form. b. Create an associated tax computation spreadsheet for the

> How can the quote be interpreted in light of what you have learned?

> Last year Beth’s annual salary was $38,350. This year she received a promotion and now earns $46,462 annually. She is paid biweekly. a. What was her biweekly salary last year? Round to the nearest cent. b. What is Beth’s biweekly salary this year? Roun

> Ralph earns $72,000 annually as an architect and is paid semimonthly. Alice also earns $72,000 but she is paid biweekly. a. How many more checks does Alice receive in a year when compared to Ralph? b. What is the difference between Ralph’s semimonthly

> Ceil gets paid biweekly. Her biweekly salary is $1,763.28. What is her annual salary?

> Baseball player Alex Rodriguez earned $20,000,000 in 2016. He played in 65 games. What was his salary per game to the nearest thousand dollars?

> Cynthia’s semimonthly salary is $1,371.50. What is her annual salary?

> In Really? Really! you were introduced to statistics about the American workforce. Now take a look at statistical predictions of how that workforce may look by the year 2024. According to the U.S. Department of Labor’s Bureau of Labor S

> Ed Lubbock’s Flash Card statement is below. There are entries missing. a. What is Ed’s average daily balance? b. What is Ed’s finance charge? c. What is Ed’s new balance? d. Wha

> Sean is paid biweekly. His annual salary is $42,500. What is his biweekly salary to the nearest cent?

> Yoko is paid semimonthly. How many fewer paychecks does she receive in a year compared to someone who is paid weekly?

> Lynn regularly works a 40-hour week and earns $16 per hour. She receives time-and-a-half pay for each hour of overtime she works. Last week she worked 43 hours. a. What was her regular gross pay? b. What was her hourly overtime rate? c. What was her o

> Eddie works at Beep-N-Kleen car wash. He earns $15 per hour. Last week he worked x hours at this rate. Express his gross pay algebraically.

> Hector works in a gas station and earns $15.50 per hour. Last week he worked 29 hours. What was his gross pay?

> Last year Nancy’s annual salary was x dollars. This year she received a raise of y dollars per year. She is paid semimonthly. a. Express her semimonthly salary last year algebraically. b. Express her semimonthly salary this year algebraically. c. On a

> Justin is a golf pro. He works 8 months per year, and is paid $76,000. During the winter months, he teaches golf privately and earns another $12,500. What is his average monthly salary based on his total yearly earnings?

> Interpret the quote in the context of what you’ve learned about jobs and salaries.

> When Payne removed his bank statement from the envelope, it got caught on a staple and a corner was ripped from the page. Now he cannot read his ending balance. Explain the computations he can do to find his ending balance. Payne Johnston 1234 Main

> In the Really? Really! section of this chapter on page 3, you examined how average Americans spend their leisure time. Often, when we look back at our leisure time we view it as “time well spent” because we engaged in

> After Wade paid his May credit card bill, he still had a balance of z dollars. He made no additional payments or purchases before he received his next bill. The monthly periodic rate on this account is 2.015%. What expression represents the finance charg

> 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. Fin

> Explain why you cannot find the range of a data set if you are given just the four quartiles.

> Bart needs to borrow $7,000 from a local bank. He uses the table of monthly payments on page 159 to compare the monthly payments for a 3% loan for three different periods of time. a. What is the monthly payment for a 2-year loan? b. What is the monthly

> Bill is looking for original taillights for his 1932 Ford. The prices vary depending on the condition. He finds these prices: $450, $100, $180, $600, $300, $350, $300, and $400. a. Find the four quartiles. b. Find the interquartile range. c. Find the

> The following list of prices is for a used original radio for a 1955 Thunderbird. The prices vary depending on the condition of the radio. $210, $210, $320, $200, $300, $10, $340, $300, $245, $325, $700, $250, $240, $200 a. Find the mean of the radio p

> Mason discovered that when he recorded a deposit of $75 two weeks ago, he mistakenly subtracted it from the running total in his check register. He decided that he would write a new entry after his most recent entry and add $75. Will this correct his mis

> Donna has a checking account that charges $0.15 for each check written and a monthly service charge of $9.75. Write a formula that Donna can use each month to find the fees she will be charged. Identify any variable you use in the formula.

> Use Tina Weaver’s monthly statement and check register to reconcile her account. a. What is the ending balance on the statement? b. What is the total of the outstanding deposits? c. What is the total of the outstanding withdrawals

> The facts about U.S. currency represent a colorful part of our country’s history. You can see paper currency manufactured at the Bureau of Engraving and Printing in Washington, D.C. You can learn about the artwork on our currency from library books and I

> Hannah wants to write a general formula and a comparison statement that she can use each month when she reconciles her checking account. Use the Checking Account Summary at the right to write a formula and a statement for Hannah. Checking Account Summar

> Ken filled out this information on the back of his bank statement. Find Ken’s revised statement balance. Does his account reconcile? Checking Account Summary Ending Balance ………………………………………………………... $ 197.10 Deposits ………………………………………………………………. + $ 600.00

> Robbie opens an account at a local bank by depositing $100. The account pays 2.4% interest, compounded weekly. He deposits $100 every week for 3 years. a. How much is in the account after 3 years? b. Write the future value function if x represents the

> Jill has not been able to maintain the $1,000 minimum balance required to avoid fees on her checking account. She wants to switch to a different account with a fee of $0.20 per check and a $12.50 monthly maintenance fee. Jill wants to estimate the fees f

> Rona filled out this information on her monthly statement. Find Rona’s revised statement balance. Does her account reconcile? Checking Account Summary Ending Balance ………………………………………………………… $ 725.71 Deposits ………………………………………………………………... + $ 610.00 Checks

> Suppose that two of the Deluxe Luxury rooms in the spreadsheet above were being renovated and unavailable for sale on a particular trip. Therefore, cell C6 would change from 20 to 18. a. Would all, some, or none of the values in column D change based on

> Maria and Don Papace are flying to Florida to explore the possibility of moving there. They will be traveling with their two teenage sons. The table below lists information they have researched on the round-trip airfares that are available for purchase o

> Many people travel to the south rim of the Grand Canyon on vacation each year. The National Parks Service keeps records of the number of vehicles entering the park. According to their website, the following table lists the total vehicles that entered the

> Winnie needs to travel to Los Angeles. She has decided to go by bus. She researched three different bus companies and compiled the following frequency table for all of the ticket prices available leaving on January 29. Price Interval……………………………………………………

> How might the quote apply to what has been outlined in this section?

> Rob wants to purchase a $5,000 drum set. The music store offers him a 2-year installment agreement requiring $800 down and monthly payments of $202.50. Rob has a poor credit rating. a. What is his interest on this installment agreement? b. Instead of u

> Alisha has a February starting balance of $678.98 in her checking account. During the month, she made deposits that totalled d dollars and wrote checks that totalled c dollars. Let E 5 her ending balance on February 28. Write an inequality using E and th

> When comparing his check register to his bank statement, Donte found that he had failed to record deposits of $55.65, $103.50, and $25.00. What is the total of these amounts and how will he use this information to reconcile his account?

> Daniyar paid his April Flash Card bill in full. His May bill shows an average daily balance of $270.31 and a monthly periodic rate of 1.65%. What is the finance charge on Daniyar’s May statement?

> Fill in the missing balances in Raymond Marshall’s check register. Use the spreadsheet from www.cengage.com/financial_alg2e to determine if Raymond’s checking account reconciles with his statement. Raymond Marsha

> Use Allison Shannon’s bank statement and check register to reconcile her account. Allison Shannon 3 Honey Drive Dallas, TX 75372 ACCOUNT NUMBER: 76574709A STATEMENT PERIOD: 12/01 - 12/31 STARTING BALANCE +$1,685.91 DATE DESCRIPTIO

> How might the quote apply to this section?

> 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.

> Marty is working a math problem that defies intuition. He is going to pay his gardener for the entire month of July. He will pay the gardener every day. On the first day, he will pay the gardener $0.01. On the second day, he will pay double the first day

> The following spreadsheet can be used to compute total weekly pay, given the hours, hourly rate, and overtime rate. a. Write the formula to compute the regular gross pay in cell D2. b. Write the formula to compute the overtime hours in cell E2. c. Wr

> Rich needs $50,000 for a down payment on a home in 5 years. How much must he deposit into an account that pays 1.16% interest, compounded quarterly, in order to meet his goal?

> Years ago, Home Depot had an annual dividend of $0.90. If you owned 4,000 shares of Home Depot, how much did you receive annually in dividends?

> 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 70 ft, 72 ft, and 71 ft. The road had a drag factor of

> 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 formul

> 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?

> How many shares of Kellogg Co are indicated on the ticker? PG [email protected] BAC [email protected] DIS 2.55K @95.31V1.08 K [email protected]

> 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?

> 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 spreadsheet formula that will calculate the minimum skid

> 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 road surface was determined to be 1.13. a. Determine the

> The following measurements from yaw marks left at the scene of an accident were taken by law enforcement officers. Using a 31-ft-long chord, the middle ordinate measured approximately 3 ft. The drag factor for the road surface is 1.02. a. Determine the

> 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.

> 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

> Marielle was in an accident. She was traveling down a road at 36 mi/h when she slammed on her brakes. Her tires left two skid marks that averaged 50 ft in length with a difference of 4 ft between them. Her brakes were operating at 80% efficiency at the t

> 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

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

> Sarah sold her Disney shares as indicated on the ticker. a. How many shares did she sell? b. How much did each share sell for? c. What was the total value of all the shares Sarah sold? d. Suppose that the next DIS trade that comes across the ticker

> Matt deposited $400 into an account that compounds interest daily at a rate of 1.095%. At the end of a certain period of time, he had a balance in the account of $417.91. a. Write an expression for the account term t but do not evaluate it. b. Using th

> Jess and Oscar have $200,000 to invest in a savings account that pays 2.875% interest compounded quarterly. How many years will it take for the account to earn $30,000 in interest? Round your answer to the nearest tenth of a year.

> Jasmine wants to start saving to purchase an apartment. Her goal is to save $225,000. If she deposits $180,000 into an account that pays 3.12% interest compounded monthly, approximately how long will it take for her money to grow to the desired amount? R

> In each of the following compound interest equations, the variable n represents the number of times per year that the interest is compounded. Use common logarithms to write an expression for n. Evaluate the expression to the nearest integer. a. 6252.40 5

> In each of the equations below, t represents the term of a savings account. Find the value of t to the nearest tenth of a year. log103 (1.975) a. t= 12 log, 2s (1.8) b. t = 6 log. (1.75) c. t = 2 log.0325 (1.636) d. t = 3 log,.002 (1.4875) e. t = 12