Use a spreadsheet to generate the last year of payments in a loan amortization table for a $600,000, 15-year mortgage with an APR of 3.5%.
> Wanda’s Widgets used market surveys and linear regression to develop a demand function based on the wholesale price. The demand function is q = -140p + 9,000. The expense function is E = 2.00q + 16,000. a. Express the expense function in terms of p. b.
> The fixed costs of producing a Wild Widget are $34,000. The variable costs are $5.00 per widget. What is the average cost per widget of producing 7,000 Wild Widgets? Round to the nearest cent.
> The Royal Ranch Pool Supply Corporation manufactures chlorine test kits. The kits have an expense equation of E = 5.15q + 23,500. What is the average cost per kit of producing 3,000 test kits? Round to the nearest cent.
> 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
> The expense function for the Wonder Widget is Eq 4.14 55,789 51 . a. What is the fixed cost in the expense function? b. What is the cost of producing 500 Wonder Widgets? c. What is the average cost per widget of producing 500 Wonder Widgets? Round to
> A corporation produces mini-widgets. The variable expenses are $1.24 per mini-widget, and the fixed expenses are $142,900. a. What is the total cost to produce one mini-widget? b. What is the total cost to produce 20,000 mini-widgets? c. Express the e
> Nola’s car gets approximately 42 miles per gallon. She is planning to drive x miles to visit her friends. a. What expression represents the number of gallons of gas she should expect to buy? b. At an average price of $2.38 per gallon, write an expressi
> The Gidget Widget Corporation produces widgets. The fixed expenses are $65,210, and the variable expenses are $4.22 per widget. Express the expense function algebraically.
> Examine the graph of expense and revenue. a. What is the breakeven point? b. If quantity C is sold and C c. If quantity D is sold and D > A, would there be a profit or a loss? Explain. d. The y-intercept of the expense function is Z. Interpret wha
> Variable costs of producing widgets includes the cost of gas required to deliver the widgets to retailers. A widget producer finds the average cost of gas per widget. The expense equation was recently adjusted from E = 4.55q + 69,000 to E = 4.98q + 69,00
> Solve Exercise 9 using the graph intersection feature on your graphing calculator. Are the answers equivalent? Exercise 9: The Lerneg Corporation computed its monthly expense equation as E = 11.00q + 76,000. Its products will be sold to retailers at a
> Interpret the quote according to what you have learned about operating a business in this section.
> Determine the 6-day SMA for the 10-consecutive-trading-day closing prices for SunEdison Inc. listed below. / $2.65 $2.63 $2.70 $2.63 $2.50 $2.65 $2.66 $2.56 $2.52 $2.37
> Determine the 4-day SMA for the 10-consecutive-trading-day closing prices for Toyota Motor Corp listed below. $121.69 $122.85 $120.70 $123.61 $123.18 $122.03 $122.82 $124.14 $124.92 $124.06 A B C 10-day Closing Moving Average 1 Day Price 2 1 35.02
> 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
> Determine the 3-day SMA for the 10-consecutive-day closing prices for Procter & Gamble Co listed below. $66.21 $65.90 $67.05 $67.03 $66.80 $66.65 $66.65 $65.80 $65.92 $65.21 A B C 10-day Closing Moving Average 1 Day Price 2 1 35.02 2 35.01 4 3
> Determine the 2-day SMA for the 10-consecutive-day closing prices for Western Digital Corp listed below. $101.96 $101.80 $101.50 $103.07 $104.94 $105.12 $105.66 $104.76 $100.56 $101.31 A B C 10-day Closing Moving Average 1 Day Price 2 1 35.02 2 35
> Determine the 6-day SMA for the 12-consecutive-day closing prices for Exxon Mobil Corp listed below. Day ………………………………………………………………………………………… Closing Price 1 ………………………………………………………………………………………………………… 35.02 2 ………………………………………………………………………………………………………… 35.01
> How might the quote apply to what you have learned?
> Determine the 4-day SMA for the 10-consecutive-day closing prices for Wal-Mart Stores Inc. listed below. Day ………………………………………………………………………………………… Closing Price 1 ………………………………………………………………………………………………………… 35.02 2 ………………………………………………………………………………………………………… 35
> Determine the 5-day SMA for the 10-consecutive-day closing prices for Sherwin-Williams Co listed below. Day …………………… Closing Price 1 …………………&he
> Determine the 3-day SMA for the 10-consecutive-day closing prices of Angie’s List Inc. listed below. Day ………………………………………………………………………………………… Closing Price 1 ………………………………………………………………………………………………………… 35.02 2 ………………………………………………………………………………………………………… 35.01
> The stock chart shows the 3-day, 5-day, and 10-day SMA for 16 consecutive trading days of Facebook Inc. stock. Examine the crossovers between the 9th and the 12th days. Discuss the implications. - 3-Day SMA – 10-Day SMA 114.00 112.00 110.00 108.00 1
> The stock chart shows the 3-day and 10-day SMA for 20 consecutive trading days. Identify the crossovers and discuss the implications. 50 48 46 44 42 40 38 36 34 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Trading Days Closing Price
> Use a spreadsheet to determine the 2-day, 3-day, and 5-day SMA. 31-Mar 440.47 8-Apr 467.81 16-Apr 455.03 24-Apr 543.04 2-May 581.29 1-Apr 465.71 9-Apr 464.19 17-Apr 449.54 25-Apr 544.06 5-May 594.90 2-Apr 465.70 10-Apr 469.08 18-Apr 539.41 28-Apr 55
> 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 is traveling at 57 mi/h before it enters into a skid. The drag factor of the road surface is 1.1, and the braking efficiency is 100%. How long might the average skid mark be to the nearest tenth of a foot?
> Use a spreadsheet to determine the 10-day SMA. 19.00 16-Apr 18.69 17-Apr 18.77 18-Apr 18.72 24-Apr 19.05 25-Apr 19.11 5-May 19.47 28-Apr 31-Mar 19.92 8-Аpr 19.14 2-May 19.32 9-Арг 19.95 10-Apr 1-Apr 20.33 19.10 2-Аpr 18.87 6-May 19.19 3-Apr 20.12 11
> Use a spreadsheet to determine the 7-day SMA. 7-Apr 24.60 8-Apr 23.76 9-Apr 23.58 14-Apr 22.51 15-Apr 22.80 21-Apr 25.03 28-Apr 26.81 5-May 25.75 6-May 25.87 16-Apr 23.44 23-Apr 24.63 30-Apr 25.27 7-May 24.48 22-Apr 25.12 29-Apr 26.32 10-Apr 23.71 1
> Why might the author be warning readers to be cautious of averages? How might these words apply to what you have learned?
> Use a spreadsheet to generate the first year of payments in a loan amortization table for a $200,000, 10-year mortgage with an APR of 3.4%.
> Examine the following 21-day credit calendar. The opening balance is Y dollars. On March 23, a purchase of X dollars was made. On March 28, a payment of Z dollars was made. On April 4, a purchase of W dollars was made. a. What is the algebraic expressi
> Rob has been approved for a $275,000, 15-year mortgage with an APR of 2.9%. Using the mortgage and interest formulas, set up a table with the above headings and complete the table for the first 2 months.
> Don and Celine have been approved for a $400,000, 20-year mortgage with an APR of 3.35%. Using the mortgage and interest formulas, set up a 2-month amortization table with the headings shown and complete the table for the first 2 months. Payment Beg
> Becky was told that based on the price of her home, her approximate closing costs would range from $4,000 to $12,000. How much was the price of her home?
> Jason is closing on a $430,000 home. He made a 13% down payment and is borrowing the rest. What is the approximate range of costs that he might expect to pay at the closing?
> This spreadsheet can be used to calculate the amount of prepaid interest a buyer will need to pay at the closing. Write formulas for cells B9, B10, and B11. A B 1 Enter the loan amount. 3 Enter the day of the month for closing. 5 Enter number of day
> 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
> Keisha is purchasing an apartment for $180,000. She has been approved for a 4.0% mortgage. She put 10% down and will be closing on April 22. Her first payment is due May 1. How much should she expect to pay in prepaid interest?
> Del is buying a $250,000 home. He has been approved for a 3.75% mortgage. He was required to make a 15% down payment and will be closing on the house on July 15. His first mortgage payment is due on August 1. How much should he expect to pay in prepaid i
> A recent survey by the American Automobile Association showed that a family of two adults and two children on vacation in the United States will pay an average of $247 per day for food and lodging with a standard deviation of $60 per day. Assuming the da
> Tom took out a $440,000, 15-year adjustable rate mortgage with a 2.85% initial 6-month rate. The amortization table for the initial rate period is shown. After the first 6 months, the rate went up to 3.45%. Calculate the next row of the table. Payme
> Suppose $600 is deposited into an account every quarter. The account earns 1.5% interest, compounded quarterly. a. What is the future value of the account after 5 years? b. Write the future value function if x represents the number of quarters. c. Use
> Examine this portion of an amortization table for an adjustable rate mortgage that had a 1-year initial rate period of 2.87% and increased to 3.37% after that period ended. Determine the missing amounts. Interest Rate Payment Number Beginning Balanc
> Examine the loan amortization table for a $210,000, 15-year mortgage with an APR of 3.8%. The borrower paid an extra $100 each month toward the principal. Determine the missing amounts. Payment Number Beginning Balance Monthly Payment Payment Extra
> Examine the loan amortization table for the last 5 months of a $500,000, 15-year mortgage with an APR of 4.05%. Determine the missing table amounts. Payment Number Beginning Balance Monthly Payment Ending Balance Towards Towards Interest Principal 1
> Shannon took out a $300,000, 15-year mortgage with an APR of 3.65%. The first month she made an extra payment of $400. What was her ending balance at the end of that first month?
> 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
> Explain how the quote can be interpreted.
> As part of their employee benefits, all workers at Middletown Electronics receive a pension that is calculated by multiplying the number of years worked times 1.65% of the average of their 3 highest years’ salary. Maureen has worked for Middletown for 27
> Tony is paying off a car loan. The monthly payment is $211.28. He is hoping to receive an income tax refund that is large enough to make one monthly payment. His tax is $1,722 and his employer withheld $2,071 in federal taxes. a. How much of a refund wi
> 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
