Abe makes $18.50 per hour. He works 37 hours a week. He pays 23% of his gross earnings in federal and state taxes and saves 5% of his monthly gross income. He is considering renting an apartment that will cost $1,500 per month. a. Is this monthly rental fee within the recommended 25–30% housing expense range? b. Based on his expenses, can he make the monthly payments?
> Complete the table to find the single deposit investment amounts. Future Value Interest Rate Time Deposit 1.4% compounded annually 1.03% compounded semiannually 0.95% compounded quarterly 2.25% compounded monthly $1,000 3 years 5 years 10 years a. $
> Three people invest in a business. The first two invest in the ratio 2:3, and the third person invests twice as much as the other two combined. The total invested is $30 million. a. How much did the major investor contribute? b. Does the major investor
> Six equal partners own a local pizzeria. The partners have made a tremendous profit and bought many personal items such as cars, boats, new homes, and so on. In order to protect their personal possessions, they decide to incorporate the pizzeria, so that
> Lenny bought x shares of stock for y dollars per share last month. He paid his broker a flat fee of $20. He sold the stock this month for p dollars per share, and paid his broker a 2% commission. Express Lenny’s net proceeds algebraically.
> Mike makes Y dollars per year. His company offers a matching retirement plan in which they agree to match M percent of his contributions up to P percent of his salary. Write an algebraic expression for the maximum value of the employer’s matching contrib
> Nelson makes $120,000 per year. His employer offers a 401(k) plan in which they will match 40% of his contributions up to a maximum of 7% of his annual salary. His employer allows contributions up to a maximum of 15% of Nelson’s salary per year. If Nelso
> Jhanvi is a 40-year-old executive for a department store. She files taxes as head of household. She needed to withdraw $45,000 from her tax-deferred retirement account to put a down payment on a new condominium. Jhanvi’s taxable income
> Mark is an accountant who has been contributing to his retirement account for the last 15 years with pre-tax dollars. The account compounds interest semi-annually at a rate of 2.25%. He contributes x dollars after each 6-month period, and this has not ch
> Jack contributed $400 per month into his retirement account in pre-tax dollars during the last tax year. His taxable income for the year was $62,350. He files taxes as a single taxpayer. a. What would his taxable income have been had he contributed to
> Explain how the quote can be interpreted.
> Decide whether each of the following questions are biased. Explain your decisions with support from the discussion of question bias. a. Do you want a hot dog or your usual chicken sandwich? b. Should smoking be permissible in a person’s own home? c.
> Marcy wants to have $75,000 saved sometime in the future. How much must she deposit into an account that pays 1.3% interest, compounded monthly? Use a graphing calculator to graph the present value function.
> The Frederick Fertilizer Company has developed a fertilizer they think will make plants grow faster, taller, and heartier. They need to conduct an experiment. They need to plant seeds randomly into different containers— some with the fertilizer and some
> A random group of 900 students, from the 5 million students in a certain state, is to be taken using the random number table. a. How many digits will be needed to be assigned to each person? b. Would it be possible for the random sample of 900 student
> For Your Eyes Only manufactures eyeglasses. They have developed a new type of hinge that they plan to test on 300 randomly selected customers. a. If they start on line 30 of the random number table on page 534 of this section, what will be the numbers o
> Laura bought 55 shares of stock for $3.50 per share last year. She paid her broker a 1% commission. She sold the stock this week for $2 per share, and paid her broker a $10 flat fee. a. What were Laura’s net proceeds? Round to the nearest cent. b. What
> An inventor for the Rust-Fight Paint Company wants to test if his paint is more resistant to rust than the current type of paint they manufacture. He will test 10 cans of the old paint and 10 cans of the new paint. a. If he selects the 10 old cans from
> A pharmaceutical company is deciding whether or not to invent a new medication. They need to do some research into physical benefits of certain sports. They want to test if people who only play tennis have lower cholesterol than people who only play golf
> A pharmaceutical company is testing a new drug to see its effectiveness on lowering cholesterol. They randomly select 2,000 people and split them into two groups. The control group takes a placebo—a pill with inactive ingredients—while the other group ta
> A fitness company needs to test some new hand-strengthening equipment, and compare the effectiveness for left and right hands. They need to select 100 volunteers from a gym membership list of 9,876 members. a. If they use the random number table, how ma
> A sole proprietorship is worth w dollars. The owner loses a lawsuit against him for y dollars, where y > w. Express algebraically the value of the personal property the owner must forfeit to pay the settlement.
> A partnership owned equally by 13 partners is worth $1.3 million. The partnership loses a lawsuit worth $3 million. What is the value of any personal property each partner must forfeit to pay the settlement? Explain.
> Jon also noticed that every traditional split ratio can be written in the form x-for-1. Examine how the 3-for-2 traditional split can be expressed as 1.5-for-1. Express each of the following traditional split ratios as x-for-1. Jon noticed that most t
> What is the total value of all of the Bank of America shares traded? PG [email protected] BAC [email protected] DIS 2.55K @95.31V1.08 K [email protected]
> Garden Giant makes rubber garden hoses. The life of their Long Life garden hose is 8.1 years, with a standard deviation of 1.1 years. Their research and development department has come up with a new rubber/plastic compound that they hope will extend hose
> Showstoppers manufactures adhesive vinyl for sign companies. The adhesive loses its adhesion qualities if not used for a few years. The life of their adhesive vinyl is normally distributed with mean 3.5 years and standard deviation 0.4 years. A worker at
> The Kivet Ski Corporation is testing a new safer boot binding for their skis. They need some randomly selected skiers to try the skis to see if the binding is better. Explain how they can design a matched-pairs experiment for this study.
> Interpret the above quote in terms of what you have learned about new inventions in this section.
> Taylor bought 200 shares of stock for $18.12 per share last year. He paid his broker a flat fee of $30. He sold the stock this morning for $21 per share, and paid his broker 0.5% commission. a. What were Taylor’s net proceeds? b. What was his capital g
> The 120 shareholders of a corporation are voting for a new board of directors. Shareholders receive one vote for each share they own. Would it be possible for one shareholder’s votes to choose the new board of directors? Explain.
> Seventy-two percent of the shareholders in a service corporation are women. If the corporation is owned by 45,600 people, how many of the shareholders are women?
> Joe, Thea, and Taylor invested in a partnership in the ratio 1:4:7, respectively. Years later, when the partnership was worth $1.6 million, Thea decides to go to graduate school and sells her part of the partnership to Joe. a. How much would Joe need to
> Julie and Kristen are the partners in a local sporting goods shop. They needed $51,000 to start the business. They invested in the ratio 5:12, respectively. a. How much money did each invest? b. What percent of the business was owned by Kristin? Round
> Elisa owns 28% of Grud man Corp. The rest of the shares are owned equally by the remaining six shareholders. What percent of the corporation does each of the other shareholders own?
> Verify that Jon’s method works to determine the post-split price and shares outstanding for HVC, which executed a 4-for-1 split on July 10 with 22,676,800 outstanding shares and a market price of $203.80 per share before the split. Jon noticed that most
> A corporation issues 1,200,000 shares of stock to shareholders. How many shares must a shareholder own to have a majority of the shares?
> Ryan owns 38 of a florist shop worth $76,000. What is the value of Ryan’s share of the business?
> Tomika owns 35 of a law partnership. What percent of the partnership does she own?
> A private corporation owned by 35 shareholders is worth $1.7 million. The corporation loses a lawsuit worth $3 million. What is the value of any personal property of the shareholders that can be taken to pay the settlement? Explain.
> A corporation is having a shareholders meeting to vote on a new issue. Not all shareholders are able to attend. In fact, most usually do not. The ownership of the corporation is represented by 2,351,000 shares of stock owned by 111,273 shareholders. a.
> The ticker shows trades of stock in Hewlett-Packard (HPQ), Exxon-Mobil (XOM), and Chevron (CVX). a. How many shares of Hewlett-Packard were sold? b. What was the total value of all the HPQ shares sold? c. Joan bought the shares at this price, and her
> The top x shareholders in a corporation each own y shares of a certain stock. The corporation’s ownership is represented by a total of w shares of stock. Express the percent of the corporation owned by the top x shareholders.
> What do you think Thomas Edison meant by the word perspiration? How do those words apply to what you’ve learned about businesses in this lesson?
> Ann obtained this list of apartments. a. Use linear regression analysis to determine if there is a correlation between the square footage and the monthly rent. b. Determine the regression equation. Round the numbers in the equation to the nearest hundr
> Jaden received these two estimates from a moving company. Write and solve a system of equations to determine the hourly loading/unloading fee and the mileage charge for the truck rental. Situation A: He hires five helpers to load and unload the truck and
> Kristy owns 200 shares of Nortel stock. On November 30, the company instituted a 1-for-10 reverse split. The pre-split price per share was $2.15. The number of shares outstanding before the split was 4.34B. a. How many shares did Kristy hold after the s
> A moving helper company gave Mike these two quotes. Use a system of equations to determine the hourly rates for loading/unloading and packing/ unpacking. 3 hours of loading/unloading 5 hours of loading/unloading 2 hours of packing/unpacking 2 hours
> Milena has a gross biweekly income of $2,200. She pays 18% in federal and state taxes, puts aside 10% of her income to pay off her school loan, and puts 5% of her income aside for savings. She is considering an apartment that rents for $1,200 per month.
> Rachel is considering moving into a one-bedroom apartment in Glen Gardens. The apartment has a monthly rent of $1,300. Here are the fees that she has been quoted. How much is she expected to pay up front in order to rent this apartment? Application fee:
> Jessica’s financial advisor believes she should spend no more than 28% of her gross monthly income for her rent. She has determined that amount is $1,400 per month. Based on this amount and her advisor’s recommendation, what is Jessica’s annual salary?
> Use the interval 25–30% to find the monetary range that is recommended for the monthly rental budget in each situation. Round to the nearest dollar. a. Mark makes $86,000 per year. b. Linda makes $7,000 per month. c. Meghan makes $1,500 per week.
> Carlos does his online trading with Super Trade. Super Trade’s rates are listed in the table below. In a-c, round to the nearest cent. a. If Carlos makes 36 online trades in a year, what is the total of his broker fees? b. What is th
> Write the profit function for the given expense and revenue functions. E = 26,500p + 1300,000 R = 2720p2 + 119,000p
> Use Schedule Z from Exercise 6 to calculate the tax for the taxpayer in Exercise 17. Exercise 6: Calculate the tax for each taxable income of a head of household. Exercise 17: Use the tax table below to calculate the tax of a head-of-household taxpay
> Use the tax table below to calculate the tax of a head-of-household taxpayer with a taxable income of $27,811. If line 43 (taxable income) is- And you are Single Married Married Head filing At But filing jointly sepa- Irately Your tax is - least les
> Dorothy purchased x thousand shares of Best Buy Company Inc. (BBY) at y dollars per share. This purchase price reflected a decrease of z dollars from the previous day’s close. Express the ticket symbols algebraically.
> Is there a difference in the tax in Exercises 14 and 15? If so, how much and which method favors the taxpayer?
> Van4Hire charges for moving according to this rate schedule. Nicky is moving a distance of D miles and needs A hours of loading/unloading and B hours of packing/ unpacking. Write an algebraic expression that represents her total moving cost. L dolla
> We Move U charges for moving according to the rate schedule shown. Nicky is moving a distance of 150 miles and needs 7 hours of loading/unloading and 5 hours of packing/unpacking. What will her moving cost be if the service also charges 8% tax on the tot
> The square footage and monthly rental of 10 similar two-bedroom apartments yield the linear regression equation y = 1.165x 615.23 51, where x represents the square footage of the apartment and y represents the monthly rental price. a. Use the equation t
> The square footage and monthly rental of 10 similar one-bedroom apartments yield the linear regression equation 0.775 950.25 51 yx , where x represents the square footage of the apartment and y represents the monthly rental price. Grace can afford $1,500
> Dave wants to rent a two-bedroom apartment in City Fields. The apartment has a monthly rent of D dollars. Here are the fees that he has been quoted. Write an algebraic expression that represents the amount he is expected to pay before renting the apartme
> Use the information from a. Determine the correlation coefficient and linear regression equation that expresses the square footage as a function of the monthly rent. Round the numbers in the equation to the nearest hundredth. b. Use your linear regress
> Explain how this quote can be interpreted in light of what you have learned.
> 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 ≈
> Kelly’s taxable income is $110,000. Approximately what percent of her taxable income is her tax? Schedule Z-If your filing status is Head of household The tax is: If your taxable income is: of the amount over- But not Over- over- $
> Determine the maximum profit and the price that would yield the maximum profit for each. a. / b. / c. /
> According to the tax schedule, Rich has to pay $25,000 in taxes. What is Rich’s taxable income? Schedule Z-If your filing status is Head of household The tax is: If your taxable income is: of the amount over- But not Over- over- $
> For what taxable income would a taxpayer have to pay $26,277.50 in taxes? Explain your reasoning. Schedule Z-If your filing status is Head of household The tax is: If your taxable income is: of the amount over- But not Over- over- $0 $13,150 10% $0
> Calculate the tax for each taxable income of a head of household. a. $400,000 b. $10,954 c. $108,962 d. $209,850 Schedule Z-If your filing status is Head of household The tax is: If your taxable income is: of the amount over- But not Over- over
> Given the filing status and the tax, identify the taxable income interval that was used to determine the tax. a. head of household $9,404 b. single $11,775 c. single $10,975 d. married filing jointly $7,699 e. married filing separately $10,200 Use
> Given the taxable income amount, express the tax table line that would be used in interval notation. a. $57,555 5i b. $63,411 5i c. $60,002 5i d. $63,301 5i If line 43 (taxable income) is- If line 43 (tаxable income) is- If line 43 And you are-
> Given a taxable income amount, express the tax table line that would be used in compound inequality notation. a. $60,124 5i b. $57,333 5i If line 43 (taxable income) is- If line 43 (tаxable income) is- If line 43 And you are- (taxable income) is-
> Determine the tax for each filing status and taxable income amount. a. single $57,723 b. head of household $60,950 c. married filing jointly $63,999 d. married filing separately $57,521 If line 43 (taxable income) is- If line 43 (tаxable income
> Using the tax schedule from Exercise 6, calculate the tax for the person in Exercise 14. Exercise 6: Calculate the tax for each taxable income of a head of household. Exercise 14: Calculate the tax using the computation worksheet for a head-of-househ
> Calculate the tax using the computation worksheet for a head-of-household taxpayer with a taxable income of $115,700.
> 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 ≈
> Versant Corp executed a 1-for-10 reverse split on August 22. At the time, the corporation had 35,608,800 shares outstanding, and the pre-split price per share was $0.41. a. How many shares were outstanding after the split? b. What was the post-price pe
> 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
