Question: Examine the graph below. It shows the
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 units sold in 2007 would be represented by (1, 1.4) since 2007 is year 1 of the data listed. To save data entry time, you can use 1.4 rather than 1,400,000 as long as you remember that your y-coordinates will always be in millions when using and reporting data and findings. b. Construct a scatter plot. c. Find the equation of the regression line. Round the slope and the y-intercept to the nearest hundredth. d. What is the slope of the linear regression line? e. What are the units of the slope expressed as a rate? f. Find the correlation coefficient to the nearest hundredth. Describe the correlation. g. In January 2016, financial advisors estimated that the global sales for iPhones in 2016 would have dropped to 218.0m. Use your regression line to predict the sales in that year. Is your answer interpolation or extrapolation? Explain. h. Do a search to find the actual global sales of iPhones in 2016. How do the financial advisors’ estimate, regression line prediction, and the actual sales compare? Explain.
Transcribed Image Text:
11.6 M 1.4 M- 20.7 M 40.0 M | 2007 | 2008 | 2009 72.3 M 231.2 M 2010 2011 125.1 M | 2012 2013 2014 169.2 M 150.3 M 2015
> 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
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> 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
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> 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
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> 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
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> 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
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> 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
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> 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
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> 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?
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> Gino has a debit card. The account pays no interest. He keeps track of his purchases and deposits in this debit card register. Find the missing entries a–f. $ BAZ78.19E 92.19 NUVBER OR CODE PAYMENT AVOUNT DEPOSIT AMOUNT DATE TRANBA
> Interpret the quote in the context of what you learned about credit and charge cards in this section.
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> In a year when the maximum income for Social Security was $118,500, Bart worked at two jobs. In one job he earned $99,112. In his second job, he earned $56,222. Both of his employers took out Social Security tax. As a result, Bart had paid excess Social
> A company produces a security device known as Toejack. Toejack is a computer chip that parents insert between the toes of a child, so parents can track the child’s location at any time using an online system. The company has entered into an agreement wit
> A politician is listening to a proposal for a new Social Security tax plan. The graph is shown. The two parts of the graph are disconnected where 145,000x 5 . Explain why this would be an unfair Social Security tax function. Social Security Таx ($)
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> Explain why the slope of the Social Security function, before it becomes horizontal, cannot equal 1.
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> Read the quote at the beginning of this section. Interpret the quote in terms of what you have learned about discount points.
> In 2007, Jessica earned p dollars, where p . 100,000. She was paid monthly. Express the amount her employer contributed to her Social Security tax in February algebraically. Maximum Taxable Maximum Income for Social Security ($) 53,400 55,500 57,60
> In 2011, the Social Security tax rate was lowered to 4.2% to help stimulate the economy. The government figured that if people paid less taxes they would have more money to buy goods and services. How much did a worker who earned $128,900 in 2011 save on
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> Complete the following chart. For each family, complete Form 1040, Schedule A, and Schedule B to find total itemized deductions, interest and ordinary dividends, adjusted gross income, taxable income, tax due, and amount of refund or amount owed. Round
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> Jonathan is a single taxpayer. His total income before deductions was $63,110. He was able to reduce his total income by $10,312 when he filled out Schedule A. How much did he save in tax by using Schedule A?
> Maria and Don had $20,800 in medical expenses. Their family medical insurance covered 60% of these expenses. The IRS allows medical and dental expense deductions for the amount that exceeds 10% of a taxpayer’s adjusted gross income. If their adjusted gro
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> Keesha earned x dollars per month in 2006, where x , $5,600. a. Did she earn more or less than the maximum taxable income for 2006? b. Express her Social Security tax for the year algebraically. c. Express her Medicare tax for the year algebraically.
> Business Bargains manufactures office supplies. It is considering selling sticky notes in the shape of the state in which they will be sold. The expense and revenue functions are E = -250 + 50,0005 and R = -225p2 + 7,200. a. Determine the profit functio
> In 1995, Eve earned d dollars, where d , 50,000. Express the amount she paid to Social Security and Medicare as a function of d. Maximum Taxable Maximum Income for Social Security ($) 53,400 55,500 57,600 60,600 61,200 62,700 65,400 68,400 72,600 7
> How can the quote be interpreted in light of what you have learned about income taxes in this section?
> Use the following graph to answer the questions below. Let Y1 = expense function and y2 = revenue function a. Explain the significance of point (D, B). b. Explain the significance of point (E, A). c. Explain the significance of point (F, C). d. Expl
> Graph the Social Security tax function for 1992. What are the coordinates of the cusp? On the same axes, graph the Medicare function. Maximum Taxable Maximum Income for Social Security ($) 53,400 55,500 57,600 60,600 61,200 62,700 65,400 68,400 72,
> Express the 1993 Social Security tax function as a piecewise function t(x), where x is the annual income. Graph the function. What are the coordinates of the cusps on the graph? Maximum Taxable Maximum Income for Social Security ($) 53,400 55,500 57
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> In 1978, Dawn earned $48,000. a. What was her monthly gross pay? b. In what month did Dawn reach the maximum taxable Social Security income? c. How much Social Security tax did Dawn pay in February of 1978? d. How much Social Security tax did Dawn p
> A car vehicle price history for a certain make and model contains the following list of yearly price values: $30,000 $28,500 $27,075 $25,721.25. The original price of the car was $30,000. It exponentially depreciated to $28,500 after 1 year and continued
> A reconstructionist took measurements from yaw marks left at the scene of an accident. Using a 46-ft chord, the middle ordinate measured approximately 6 ft. The drag factor for the road surface was 0.95. Determine the radius of the yaw mark to the neares
> A car was traveling at 52 mi/h before it enters into a skid. It was determined that the drag factor of the road surface is 1.05, and the braking efficiency is 80%. How long might the average skid mark be to the nearest tenth of a foot for this situation?
> How might those words apply to what has been outlined in this lesson?
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> Max is driving 42 miles per hour. A dog runs into the street and Max reacts in about three-quarters of a second. What is his approximate reaction distance?
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> Jonathan’s car gets approximately 25 miles per gallon. He is planning a 980-mile trip. About how many gallons of gas will his car use for the trip? At an average price of $2.50 per gallon, how much should Jonathan expect to spend for gas? Round to the ne
> Using yearly car values, a graphing calculator has calculated the following exponential regression equation: y = abx, a = 28,158.50, b = 0.815. a. What is the rate of depreciation for this car? b. How much is this car worth to the nearest dollar after
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> The following two-way table displays information about favorite sports cars that resulted from a survey given to all students at Shore High School. a. Find P(B), P(C), P(B|C) and explain whether or not events B and C are independent. b. What is the pr
