Question: The expense function for the Wonder Widget

> If a family from the data set in question 2 had a z-score of 1.5, what was their daily expense for food and lodging?

> Becky is planning a 2,100-mile trip to St. Louis to visit a college. Her car averages 30 miles per gallon. About how many gallons will her car use on the trip?

> Interpret the quote in terms of what you have learned about essential and discretionary vacation expenses.

> Pierre deposits $9,000 in a certificate of deposit that pays 1.4% interest, compounded semi-annually. How much interest does the account earn in the first 6 months? What is the balance after 6 months?

> 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

> Sally deposits $4,000 in a certificate of deposit that pays 2.12% simple interest. What is her balance after 1 year?

> Jerome deposits $3,700 in a certificate of deposit that pays 1.8% interest, compounded annually. How much interest does Jerome earn in 1 year?

> Getaway Sports is a vacation destination for the serious sports fanatic. Rajesh is in charge of equipment for the complex. The last shipment of Ping-Pong balls was normally distributed with a mean weight of 2.7 grams and a standard deviation of 0.1 gram.

> How might the words in the quote apply to what you learned about interest and savings in this section?

> One day before the end of the month, George had an opening balance of m dollars in an account that pays 1.25% interest compounded monthly. On the last day of the month, he made a deposit equal to twice his opening balance. Express his ending balance on t

> Using the data from question 2, you can compute the mean food and lodging cost of a 10-day vacation by multiplying the per-day mean by 10. The standard deviation for the 10-day vacation can be found by multiplying by 10 also. a. What is the mean for foo

> Linda has d dollars in an account that pays 1.4% interest, compounded weekly. She withdraws w dollars. Express her first week’s interest algebraically.

> On May 29, Rocky had an opening balance of x dollars in an account that pays 1.3% interest, compounded daily. He deposits y dollars. Express his ending balance on May 30 algebraically.

> Steve’s SUV has a 17-gallon gas tank. The SUV gets an estimated 24 miles per gallon. Approximately how far can the SUV run on half a tank of gas?

> 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

> Dave wants to borrow $22,000 from First Finance Bank. The bank will give him a 15-year loan at an interest rate of 4.85%. How much will he pay the bank in interest over the life of the loan? Round to the nearest hundred dollars.

> Use your answer and the loan information from Exercise 8 to determine what effect a $50 decrease in Louis’s monthly payment would have on the length of his loan. Exercise 8: Louis wants to take out a $14,000 loan with a 6.8% APR. He can afford to pay n

> Louis wants to take out a $14,000 loan with a 6.8% APR. He can afford to pay no more than $400 per month for loan payments. What would be the length of his loan? Round to the nearest tenth of a year.

> Jennifer wants to borrow $20,000. Her bank offers a 7.1% interest rate. She can afford $500 a month for loan payments. What should be the length of her loan to the nearest tenth of a year?

> A bank offers a $25,000 loan at an interest rate of 7.7% that can be paid back over 2–10 years. a. Write the monthly payment formula for this loan situation. Let t represent the number of years from 2 to 10 inclusive. b. Write the total interest formul

> Kevin has x dollars in an account that pays 2.2% interest, compounded quarterly. Express his balance after one quarter in an algebraic formula.

> Charlie and Kathy want to borrow $20,000 to make some home improvements. Their bank will lend them the money for 10 years at an interest rate of 5.75%. How much will they pay in interest?

> Jamie wants to borrow $15,000 from South Western Bank. They offered her a 4-year loan with an APR of 5.5%. How much will she pay in interest over the life of the loan?

> What is the total interest on a 10-year, 6.1% loan with a principal of $32,000?

> Yolanda is planning a 778-mile trip to visit her daughter in Maryland. She plans to average 50 miles per hour. At that speed, approximately how long will the trip take? Express your answer to the nearest tenth of an hour. Then express your answer to the

> 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

> 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

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

> Zeke has a universal life insurance policy with a face value of $200,000. The current cash value of the policy is x dollars. The premium is m dollars per month. He is going to use the cash value to pay for premiums for as long as it can. In those months,

> Use the definition of the greatest integer function to evaluate each of the following. a. [55.9] b. [55.001] c. [0.65] d. [234.11] e. / f. [28.21] g. [19] h. [20.45] i. / j. /

> Use the mortality table below to answer parts a–f. a. The life expectancy column gives the number of years a person of that age is expected to live. What is the life expectancy for a 67-year-old female, rounded to the nearest year? b

> Jonathan has a universal life insurance policy with a face value of $500,000. The current cash value of the policy is $11,260. Jonathan wants to stop paying premiums for a few months while he changes jobs. The premium is $134 per month. a. What will the

> Explain why a 10-year, $200,000 term life insurance policy for a 20-year-old male would have a lower premium than a 10-year, $200,000 term insurance policy for a 50-year-old male.

> Carlotta purchased a whole life insurance policy with an annual premium of $780. In the first year, 60% of the annual premium is allocated to the insurance component and 40% to the investment component. The investment earns 2.2% interest, compounded annu

> New City Insurance Company offers a term life insurance policy with a renewable annual premium. The first year premium is $140. Premiums increase 6% each year. Round to the nearest cent in a-c. a. What will the premium be in the second year? b. What wi

> Premiums for the Sun-Belt Insurance Company are given in the table. Find the annual premiums for the following $250,000 Sun-Belt life insurance policies. a. A 10-year life insurance policy purchased by a 30-year-old male. b. A 20-year term policy for

> What was the previous day’s closing price for each stock? a. Procter & Gamble Co b. Bank of America Corp c. Walt Disney Co d. Kellogg Co PG [email protected] BAC [email protected] DIS 2.55K @95.31V1.08 K [email protected]

> Life insurance companies take risks much like arcade game owners take risks. Mollie has a booth on a popular beach boardwalk. She charges $2 per game. Winners receive a $5 prize. The probability of winning the game is 0.1. a. What is the probability of

> Carlo travels for 3 hours on the highway. His average speed is 55 mi/h. How far does he travel?

> The Durham Insurance Company sells a 5-year term insurance policy with a face value of $100,000 to a 47-year-old man for a monthly premium of $63. The mortality table is given below. a. Find the value of x from the table. b. A man buys a policy on his

> Johan took out a 10-year term policy with a face value of x dollars. Over the lifetime of the policy, he pays monthly payments of m dollars. He dies after making payments for 314 years. a. How many payments did he make? b. Express the total he paid for

> Interpret the quote in the context of what you have learned about life insurance in this section.

> The Lerneg Corporation computed its monthly expense equation as E = 11.00q + 76,000. Its products will be sold to retailers at a wholesale price of $20.00 each. How many items must be sold to reach the breakeven point? Round to the nearest integer.

> Wind-Up Corporation manufactures widgets. The monthly expense equation is E = 3.20q + 56,000. They plan to sell the widgets to retailers at a wholesale price of $6.00 each. How many widgets must be sold to reach the breakeven point?

> 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

> 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

> 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%.

> 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