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?
> 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
> Marina’s monthly liabilities and assets are shown in the table. a. Find Marina’s debt-to-income ratio. Express that ratio as a percent. b. How would you categorize her debt-to-income ratio? Monthly Liabilities
> 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?
> 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
> A profit function is determined to be P = -200p2 + 116,000p - 21,191,200. Find the roots of the equation. Are they real or complex? If complex, what does this imply about the profit function?
> 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.
> Naoko has these daily balances on his credit card for September’s billing period. He paid his balance from the August billing in full. 2 days @ $99.78 15 days @ $315.64 11 days @ $515.64 2 days @ $580.32 a. His APR is 15.4%. How much is the finance
> 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 $56,222. Both of his employers took out Social Security tax. As a result, Bart had paid excess Social
> A company produces a security device known as Toejack. Toejack is a computer chip that parents insert between the toes of a child, so parents can track the child’s location at any time using an online system. The company has entered into an agreement wit
> A politician is listening to a proposal for a new Social Security tax plan. The graph is shown. The two parts of the graph are disconnected where 145,000x 5 . Explain why this would be an unfair Social Security tax function. Social Security Таx ($)
> Milo’s car straight line depreciates monthly over time. He knew that after 7 months his car was worth $26,930. According to an online car value calculator, after 30 months, he determined that his car was worth $19,800. How much does his car depreciate ea
> A politician is considering removing the maximum taxable income and having all income subject to Social Security tax. Why might this be unfair to very affluent people?
> Explain why the slope of the Social Security function, before it becomes horizontal, cannot equal 1.
> Kennesaw Credit Union offers a 4.25%, 15-year mortgage. Sadie wants to borrow $300,000 and purchase enough negative points to eliminate her $9,000 closing costs. Each point increases her APR by 0.125% and reduces the bank's closing costs by 1% of the pri
> Lincoln Towers Bank offers borrowers a zero closing cost loan. Each negative point reduces the bank’s closing costs by 1% of the principal and increases the APR by 0.125%. Ibraheem wants to borrow $450,000 from Lincoln Towers at 3.48% for 20 years. The e
> Flip Flops manufactures beach sandals. Their expense and revenue functions are a. Determine the profit function. b. Determine the price, to the nearest cent, that yields the maximum profit. c. Determine the maximum profit, to the nearest cent. E =
> Read the quote at the beginning of this section. Interpret the quote in terms of what you have learned about discount points.
> In 2007, Jessica earned p dollars, where p . 100,000. She was paid monthly. Express the amount her employer contributed to her Social Security tax in February algebraically. Maximum Taxable Maximum Income for Social Security ($) 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
> Draw graphs of expense function Y1 and revenue function Y2 on the same set of axes that meet the following criteria. Maximum revenue: $125,000 Breakeven points: $40 and $160 Price at which no revenue is made: $200 Maximum expenses: $105,000
> 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
> Mr. and Mrs. Delta are filing a joint tax return. Together they had an income of $100,830 last year. Their total deductions were $16,848. a. What was Mr. and Mrs. Delta’s taxable income? b. What is the tax on the amount in part a? c. The Deltas receiv
> Vito is single. His total income before deductions was $147,760. He was able to reduce his total income by $14,198 when he filled out Schedule A. How much did he save in tax by using Schedule A? Use Schedule X on page 382.
> 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
> Round all monetary answers to the nearest dollar. Use the tax tables in the Appendix or the appropriate schedule based on filing status. 2. Chiara had $5,700 in out-of-pocket medical expenses last year. Her medical insurance covered 80% of these expenses
> 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
> In 1991, Social Security and Medicare taxes were itemized separately on paycheck stubs and tax forms for the first time. The table on the right gives a historical look at Social Security and Medicare taxes. a. Find the maximum a person could contribu
> A car is traveling at 68 km/h. Cargo is strapped to the roof at a height of 1.6 m. The car hits a concrete barrier, and the cargo is horizontally ejected off the roof. Use these two equations to determine how long it takes for the cargo to hit the ground
> Cargo is tied with rope on the roof of a 4.5-foot-tall car. The car is traveling down a road at 42 mph and hits a concrete barrier. The rope snaps, allowing the cargo to propel forward. Use the equations y = -16.1t2 + 4 .75 and y = -0.0042x2 + 4.75 where
> Five years ago, a certain make and model of a car now considered to be a classic had a selling price of $26,000. Examine this geometric sequence representing the yearly appreciation in the price of the car since then: $26,000 $31,200 $37,400 $44,928 $53,
> 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?
> Richie was driving on an asphalt road that had a 40 mi/h speed limit. A bicyclist veered into his lane, causing him to slam on his brakes. His tires left three skid marks of 69 ft, 70 ft, and 74 ft. The road had a drag factor of 0.95. His brakes were ope
> Marlena is driving on an interstate at 65 km/h. She sees a traffic jam about 30 meters ahead and needs to bring her car to a complete stop before she reaches that point. Her reaction time is approximately ¾ of a second. Is she far enough away from the tr
> Tricia is driving 64 miles per hour on an interstate highway. She must make a quick stop because there is an emergency vehicle ahead. a. What is her approximate reaction distance? Round to the nearest foot. b. What is her approximate braking distance?
> 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?
> Ann’s car gets about 12 kilometers per liter of gas. She is planning a 2,100-kilometer trip. To the nearest liter, how many liters of gas should Ann plan to buy? At an average price of $0.71per liter, how much should Ann expect to spend for gas?
> 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
