Question: Marina’s monthly liabilities and assets are

> Oscar is single with a taxable income for last year of $74,555. His employer withheld $16,381 in federal taxes. a. Use the tax table from Example 2 earlier in this lesson to determine Oscar’s tax. b. Does Oscar get a refund? c. Find the difference bet

> Katrina is single with a taxable income for last year of $74,431. Her employer withheld $14,870 in federal taxes. a. Use the tax table from Example 2 earlier in this lesson to determine Katrina’s tax. Example 2: b. Does Katrina get

> Use Mark Gilley’s FlashCard statement. There is an error in his bill. The average daily balance, finance charge, available credit, and new balance amounts are not filled in. You can find a copy of the blank credit calendar at www.cengag

> Dale’s employer withheld $9,873.33 in federal taxes last year. His tax is $8,792.75. a. Does Dale get a refund or does he owe the government money? b. What is the difference between Dale’s tax and the amount withheld by his employer?

> Kate is filling out her income tax return. Her tax for last year is $973. Her employer withheld $712 in federal taxes. a. Does Kate get a refund or does she owe the government money? b. What is the difference between Kate’s tax and the amount withheld

> Ralph is a teacher who works as a musician on weekends. Here is part of his tax worksheet: wages from teaching $43,871.82, wages from music jobs $15,873.00, interest $863.90, dividends $350.70, and royalties $1,200.60. What is Ralph’s total income?

> A company produces a security device known as Toejack. Toejack is a computer chip that parents insert between the toes of a child, so parents can track the child’s location at any time using an online system. The company has entered into an agreement wit

> Round all monetary answers to the nearest dollar. William Base’s employer withheld $13,956.95 in federal income tax. After completing his return, William determined that his tax responsibility is $11,874.82. Will William get a refund or does he owe the

> On December 18 of a leap year, Stacy opened a savings account by depositing $6,000. The account pays 1.45% interest, compounded daily. On December 19 she deposited $500, and on December 20 she withdrew $2,500. Find the missing amounts in the table. Round

> The table represents the compound interest calculations for an account that pays 2% interest compounded daily. Represent a–g algebraically. Date Feb. 2 Feb. 3 Opening balance Deposit P d. D Withdrawal W Principal used to compute in

> International travel is usually more expensive than domestic travel. A recent survey found that the average per-person cost of a 12-day international vacation is $1,755. This includes transportation, food, lodging, and entertainment. a. If the data are

> In Rodger’s state, unemployment compensation is calculated by finding the total of the quarterly wages of two consecutive quarters and dividing by 26. The weekly unemployment is 65% of that amount. In the quarter including January, February, and March, R

> Natalia worked in an automobile plant. She lost her job when the plant relocated to another state. She applied for unemployment compensation. In her state, the amount is calculated by taking 55% of the average of the last 26 weekly salary amounts. The gr

> The spreadsheet calculates a yearly pension. Users enter the pension percentage as a percent in cell B1, the number of years worked in cell B2, and the last 4 working years’ salaries in cells B3–B6. That 4-year average

> Albert Einstein said that compound interest was “the most powerful thing I have ever witnessed.” Work through the following exercises to discover a pattern Einstein discovered, which is now known as the Rule of 72. a. Suppose that you invest $2,000 at a

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

> Eddie is a plant manager at North Salem Construction Company. He has been employed there for 20 years and will be retiring at the end of this year. His pension is calculated on the average of his last 4 years’ salaries. In those years, he earned $82,000;

> A company produces a security device known as Toejack. Toejack is a computer chip that parents insert between the toes of a child, so parents can track the child’s location at any time using an online system. The company has entered into an agreement wit

> At Richardson Manufacturing Company, there are two factors that determine the cost of health care. If an employee makes less than $55,000 per year, he pays $60 per month for individual coverage and $115 per month for family coverage. If an employee makes

> Ruth contributes 18% of the total cost of her individual health care. This is a $67.50 deduction from each of her biweekly paychecks. What is the total value of her individual coverage for the year?

> When George started his current job, his employer told him that at the end of the first year, he would receive 2 vacation days. After each year worked, his number of vacation days would double up to 5 workweeks of paid vacation. a. Let x represent the w

> When Luis started his current job, his employer told him that he would receive 2 vacation days for each full year he worked. Let x represent the number of years he has worked for the company and y represent the number of paid vacation days he earned. a.

> When Lisa started at her current job, her employer gave her 2 days of paid vacation time with a promise of 3 additional paid vacation days for each year she remains with the company to a maximum of 4 workweeks of paid vacation time. a. Let x represent t

> Roberto’s employer offers a sliding paid vacation. When he started work, he was given 3 paid days of vacation. For each 6-month period he stays at the job, his vacation is increased by 2 days. a. Let x represent the number of 6-month periods worked and

> How can the quote be interpreted in light of what you have learned about employment salaries and benefits?

> Visitors to the Royal Ranch Golf Paradise shoot an average of 88 on their 18-hole golf course. The standard deviation is 12. Visitors to the Glen Oaks Golf Resort shoot an average of 97 with a standard deviation of 14. (In golf, the lower score is the be

> Examine the credit card situations in Exercises 10 and 11. In each case, the credit card holder had no previous balance. The new balance was a result of purchases made that billing cycle. Identify whether or not the borrower can pay off the balance by ma

> A Caribbean resort has a nightly limbo contest on the beach. Participants must be less than 64 inches tall. The distribution of heights of adult American men is approximately normal with mean 69 inches and standard deviation 2.5 inches. a. What percent

> A company produces a security device known as Toejack. Toejack is a computer chip that parents insert between the toes of a child, so parents can track the child’s location at any time using an online system. The company has entered into an agreement wit

> Liam deposits $3,500 in a savings account that pays 0.8% interest, compounded quarterly. In a–i, round to the nearest cent. a. Find the first quarter’s interest. b. Find the first quarter’s ending balance. c. Find the second quarter’s interest. d. Fi

> The following Venn diagram describes cars sold last summer at Penny’s Auto land. The letter F represents four-wheel drive, S represents satellite radio, and R represents remote start. a. How many people bought cars with four-wheel d

> The following table shows music preferences found by a survey of the faculty at a local university. Express your answers in fraction form. a. Find the probability that a randomly selected person from this group likes country music. b. What is the prob

> The distribution of ages of licensed drivers shopping at the Kalish County Mall is normally distributed with mean 41 and standard deviation 7. A person will be selected at random. Round your answers to the nearest hundredth. a. What is the probability t

> There are five solids called Platonic solids. Each Platonic solid has congruent faces, and congrunet angles, and they are shown below. Use the figures to compute the probabilities. Express your answers as fractions. a. An octahedron has eight faces. If

> The ratio of hybrid cars to gasoline-powered cars in the parking lot of a local office building is 3:11. If there are 280 cars in the lot and one is to be selected at random to get the reserved parking space nearest the building, find the probability the

> Use the given payment schedule. a. What is the loan amount? b. What is the length of the loan? c. What is the approximate monthly payment rounded to the nearest cent? d. What is the total interest paid over the life of the loan? e. Construct a scat

> Use the given yearly payment schedule. a. What is the loan amount? b. What is the length of the loan? c. What is the monthly payment? d. What is the total interest paid? e. Construct a scatter plot using the data points (year, loan balance). f. Wr

> Jacob opens a savings account in a non–leap year on August 10 with a $4,550 deposit. The account pays 1.1% interest, compounded daily. On August 11 he deposits $300, and on August 12 he withdraws $900. Find the missing amounts in the ta

> While Willie traveled in India, he paid an average of 65.73 Indian rupees (INR) for a liter of gas. 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 ≈ 1.40 Austr

> A company produces a security device known as Toejack. Toejack is a computer chip that parents insert between the toes of a child, so parents can track the child’s location at any time using an online system. The company has entered into an agreement wit

> Read the quote at the beginning of this section. Interpret the quote in terms of what you have learned about probability.

> Regina deposits $3,500 in a savings account that pays 1.05% interest, compounded semi-annually. In a–g, round to the nearest cent. a. How much interest does the account earn in the first 6 months? b. What is the balance at the end of the first 6 months

> Devon is considering taking out a $7,000 loan. He went to two banks. Stevenson Trust Company offered him an 8-year loan with an interest rate of 8.6%. First National Bank offered him a 5-year loan with an interest rate of 10%. Which loan will have the lo

> Use the data from question 2. If the data are normally distributed, find the percentage of families who spent: Question 2: A recent survey by the American Automobile Association showed that a family of two adults and two children on vacation in the Un

> Use the following 25 consecutive days’ closing prices for Target Corp to determine linear, quadratic, cubic, and quartic regression equations. What trends do you see? What are the predictions for the closing price on the 26th trading day? Startin

> Use the following 25 consecutive days’ closing prices for Apple Inc. to determine linear, quadratic, cubic, and quartic regression equations. What trends do you see? What are the predictions for the closing price on the 26th trading day? Starting

> Use a spreadsheet to calculate the 2-day and 5-day SMA for ten-consecutive day closing prices of the corporation shown in the chart below. Graph the closing prices and averages. 21-Apr 22-Apr 28.55 1-May 2-May 26.81 28.54 28.67 23-Apr 28.08 24.37 5-

> Lorne has determined the fixed cost of producing his new invention is N dollars. The variable cost is $10.75 per item. What is the average cost per item of producing W items?

> Billy invented an innovative baseball batting glove he named the Nokee and made his own TV infomercial to sell it. The expense function for the Nokee is E = 6.21q + 125,000. The Nokee sells for $19.95. a. Represent the average expense A for one Nokee al

> A company produces a security device known as Toejack. Toejack is a computer chip that parents insert between the toes of a child, so parents can track the child’s location at any time using an online system. The company has entered into an agreement wit

> Brenda will be driving through Europe. She plans to pay an average price of h euros per liter for gasoline. 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 ≈ 1.

> In each case, the blue graph represents the expense function and the black graph represents the revenue function. Describe the profit situation in terms of the expense and revenue functions. dollars $100,000 price 100

> Add row 43 to your chart from Exercise 10. Calculate each month’s total expenses. Exercise 10: Create a year-long budget for Laura as on page 678. Page 678: a. Draw a line graph of Laura’s monthly budgeted expen

> Create a year-long budget for Laura as on page 678. Page 678: Sample A Jan Feb Mar Аpr Мay Jun Jul Aug Sep Oct Nov Dec Health Insurance Prescriptions (copayments) Over-the-Counter Meds Doctor Visits Life Insurance Health Club Dues Sample B Jan Feb

> Create a spreadsheet for the frequency budget in Exercise 8. Laura's Financial Report Income Teacher, monthly after-tax income: $5,000 Tutor, monthly after-tax income: $1,200 Monthly Expenses $2,200 $180 $80 $50 $40 $200 $200 $40 Renter's insurance

> Create a frequency budget for Laura as on page 694. Although her food, fuel, dining-out, and entertainment expenses were listed monthly in her financial report, they should be considered weekly expenses here. Round the weekly amount up to the

> Use a cash flow analysis worksheet or spreadsheet to construct a cash flow plan for Laura. What is her monthly cash flow? Laura's Financial Report Income Teacher, monthly after-tax income: $5,000 Tutor, monthly after-tax income: $1,200 Monthly Expen

> Examine Laura’s non-monthly expenses. a. Which month has the greatest expenses? b. How might Laura prepare for those expenses? Laura's Financial Report Income Teacher, monthly after-tax income: $5,000 Tutor, monthly after-tax in

> The Mountain View Consumer Counseling Service suggests that the monthly food budget be no more than 15–30% of income. a. What is Laura’s total monthly food bill including dining out? b. What percent of her income i

> Bob is retired and owns a home. See his assets and liabilities in the box shown. a. Calculate Bob’s net worth. b. Two years ago, Bob’s net worth was $650,000. Last year, his net worth was $740,500. What is the appr

> How can â–²0.04 be interpreted? PG [email protected] BAC [email protected] DIS 2.55K @95.31V1.08 K [email protected]

> The Shahs (from Exercise 2) decided they would not use the September amounts, when they were on vacation, nor the December amounts, when cousins stayed with them. Assume the chart is a spreadsheet with row 1 as the month labels and column A as the expens

> The Shah family uses the average of 6 months as their budget starting point in each category. Find each average. July Aug Sept Oct Nov Dec Average Groceries (Food) Dining Out Fuel (car) 740 800 650 820 820 880 a. 120 150 300 80 100 150 b

> Shyla will be driving through South Africa. She has found that the average price of gas in Johannesburg is about $0.82 South African rands per liter. 1 USD ≈ 1.37 Canadian dollars (CAD) 1 USD ≈ 113.59 Japanese yen (JPY) 1 USD ≈ 0.90 euros (EUR) 1 USD ≈

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

> Use these data from Example 2 about the number of boxes purchased and the price per contact lens to answer a through g below. (1, 6.00), (2, 5.90), (4, 5.40), (8, 5.20), (10, 4.80), (12, 4.10), (14, 3.80), (16, 3.10), (20, 2.50) (24, 1.70) Example 2:

> Years ago, Enzo invested $200,000 into stocks, bonds, and real estate. He diversified his investments according to the following percentages: Stocks: 44% Bonds: 31% Real estate: 25% If the stocks increase 19% in value, the bonds gain 8%, and the real e

> Read the above quote. Interpret the quote in the context of what you learned about investment diversification in this section.

> What was the previous day’s closing price for each stock? HD [email protected] S [email protected] VZ [email protected] XOM [email protected]

> How can â–¼1.58 be interpreted? HD [email protected] S [email protected] VZ [email protected] XOM [email protected]

> How can XOM .66K be interpreted? HD [email protected] S [email protected] VZ [email protected] XOM [email protected]

> A company produces a security device known as Toejack. Toejack is a computer chip that parents insert between the toes of a child, so parents can track the child’s location at any time using an online system. The company has entered into an agreement wit

> How can @126.26 be interpreted? HD [email protected] S [email protected] VZ [email protected] XOM [email protected]

> Use the method of completing the square to find the roots of each equation. a. / b. / c. / d. /

> Use the quadratic formula to find the roots of each equation. a. / b. / c. / d. /

> Reid will be driving through Spain this summer. He did some research and knows that the average price of gas in Spain is approximately 1.21 euros per liter. a. What is this amount equivalent to in U.S. dollars? b. What is this rate equivalent to in U.S

> Orange-U-Happy is an orange-scented cleaning product that is manufactured in disposable cloth pads. Each box of 100 pads costs $5 to manufacture. The fixed costs for Orange-U-Happy are $40,000. The research development group of the company has determined

> Rich and Betsy Cuik started a small business. They manufacture a microwavable to-go cup called Cuik Cuppa Coffee. It contains spring water and ground coffee beans in a teabag-like pouch. Each cup costs the company $1.00 to manufacture. The fixed costs fo

> Michele is following the trades of Procter & Gamble Co on the business channel. The result of the latest trade is posted on the ticker above. a. How many shares of PG were traded? b. How much did each share cost? c. What was the value of the Pro

> How might the quote apply to what you have learned?

> What is the total value of all of the Sprint Corp shares traded? HD [email protected] S [email protected] VZ [email protected] XOM [email protected]

> How many shares of Home Depot are indicated on the ticker? HD [email protected] S [email protected] VZ [email protected] XOM [email protected]

> A company produces a security device known as Toejack. Toejack is a computer chip that parents insert between the toes of a child, so parents can track the child’s location at any time using an online system. The company has entered into an agreement wit

> A car leaves four skid marks each 50 feet in length. The drag factor for the road is 0.9. Let x represent the braking efficiency. a. What is the range of values that can be substituted for x? b. Let the speed be represented by the variable y and x repr

> Phil sold his shares of Verizon Communications Inc., as indicated on the above ticker. a. How many shares did he sell? b. How much did each share sell for? c. What was the total value of all the shares Phil sold? HD [email protected] S [email protected]

> Jessica put in an order for some shares of Exxon Mobil Corp. a. As shown on the ticker, how many shares did Jessica buy? b. How much did each share cost? c. What was the value of Jessica’s trade? HD [email protected] S [email protected]

> How might a large trade “move the market”? How might those words apply to what you have learned?

> Marina wants to take out a $500,000 loan to purchase a new home. The bank offers a 25-year loan with an APR of 3.8%. If she purchases 1 point for 1% of the value of the loan, she will reduce her APR by 0.3%. a. What is her monthly savings with the point

> A profit function is determined to be P = -180p2 + 154000p - 28,950,500. Find the roots of the equation. Are they real or complex? If complex, what does this imply about the profit function?

> The credit union offered Zach a $200,000, 10-year loan at a 3.625% APR. Should Zach purchase 1 point or no points? Each point lowers the APR by 0.125% and costs 1% of the loan amount. Justify your reasoning.

> The bank offered Annette a $380,000, 30-year mortgage at 3.54%. She is deciding whether to purchase 2 points to reduce her APR by 0.25% per point. Each point will cost 1% of the loan value. a. Calculate her monthly payments with the points. b. Calculate

> Dylan purchased A points, each of which reduced his APR by B%. The cost per point was 1% of the loan amount. His new APR is C%, and his points cost him D dollars. Write an algebraic expression for: a. the original APR b. the principal

> Toni purchased 3 points, each of which reduced her APR by 0.125%. Each point cost 1% of her loan value. Her new APR is 3.2%, and the points cost her $8,100. a. What was the original APR? b. What is her principal?

> J.P. has been offered a 20-year, $350,000 loan with a 3.9% APR. If he purchases 1 point, his APR will reduce to 3.7%. How much will his monthly payment savings be?

> A company produces a security device known as Toejack. Toejack is a computer chip that parents insert between the toes of a child, so parents can track the child’s location at any time using an online system. The company has entered into an agreement wit

> Rhonda wants to take out a 30-year, $280,000 loan with a 4.4% APR. She is considering purchasing 2 points, which will decrease her APR by 0.125% per point. Each point will cost 1% of her loan. Compare her monthly payments with and without the purchase of

> Examine the graph below. It shows the global iPhone phone sales by year in millions of units sold. a. Write nine ordered pairs with the first coordinate being the year number and the second being the units sold in millions as shown here. 1,400,000 unit

> Investigate the difference between compounding annually and simple interest for parts a–j. Round to the nearest cent. a. Find the simple interest for a 1-year CD for $5,000 at a 2.5% interest rate. b. Find the interest for a 1-year CD for $5,000 at an

> Mike and Julie receive $20,000 in gifts from friends and relatives for their wedding. They deposit the money into an account that pays 2.75% interest, compounded daily. a. Will their money double within 10 years? b. Will their money double within 15 ye

> Determine the cost of the points and the new interest rate for each loan amount and interest rate. Assume each point costs 1% of the loan amount. a. $400,000, original APR 4.1%, 1 point with a 0.2% discount b. $250,000, original APR 3.95%, 2 points wit