[SOLVED] The expense function for a widget is

> 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

> 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

> In 1990, Jerryâs gross pay was $78,000. a. What was his monthly gross pay? b. In what month did Jerry hit the maximum taxable Social Security income? c. How much Social Security tax did JerryÂ pay in January of 1990? d.

> 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

> Jerome just purchased a 4-year-old car for $12,000. He was told that this make and model depreciates exponentially at a rate of 5.8% per year. What was the original price to the nearest hundred dollars?

> Gracie deposited $20,000 into an account that compounds interest weekly at a rate of 1.56%. Each week, her bank withdraws $200 from the account and puts that amount into her mortgage account. How long will it take until the account has a balance of $0? R

> The straight line depreciation equation for a car is y = -2400x + 36,000. a. What is the original price of the car? b. How much value does the car lose per year? c. How many years will it take for the car to totally depreciate?

> A local newspaper charges d dollars for a three-line classified ad. Each additional line costs a dollars. Express the cost of a six-line ad algebraically.

> Classic Car Monthly charges $49 for a three-line classified ad. Each additional line costs $9.50. For an extra $30, a seller can include a photo. How much would a five-line ad with a photo cost?

> Paul has a universal life insurance policy with a face value of f dollars. The current cash value of the policy is c 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 lasts. In those mont

> Alex took out a 15-year term life insurance policy with a face value of f dollars. Over the lifetime of the policy, he pays monthly payments of m dollars. He dies after making payments for 1½ years. Express algebraically the difference between the amount

> Reliable Insurance Company offers a term life insurance policy with a renewable annual premium. The first-year premium is $795. Premiums increase by 4.1% each year. What will premiums be in the nth year?

> Charleen is single. She is filling out the Social Security worksheet shown on page 624 so she can determine the amount of her Social Security benefits that she will pay federal income tax on. The following lines were taken from her tax information. • Li

> Juanita started collecting Social Security at age 65. Her Social Security full monthly retirement benefit is $2,128. Her benefit is reduced since she started collecting before age 66. Using the reduction percentages from Example 4 in Section 10-2, find h

> The table on the right gives a historical look at Social Security tax before there was a separate Medicare tax. Find the maximum you could pay into Social Security for each year. Maximum Taxable Maximum You Could Pay Income ($) Social Year Security

> Nick’s annual salary is $90,000. His employer matches his 401(k) contributions at $0.75 for each dollar up to 8% of his annual salary. Nick contributes $350 from each biweekly paycheck to his 401(k) account. What is the combined total of his annual contr

> Kadeem deposited $50,000 into an account that compounds interest semiannually at a rate of 1.8%. At the end of each 6-month period, the bank withdraws $5,000 from the account. How long will it take until the account has a balance of $0? Round your answer

> Anna turned age 62 in 2016, and she is computing Social Security benefits. Using the formula from Example 3 in Section 10-2, compute her Social Security full retirement benefit if her average monthly salary over her 35 highest-paying years was $3,766. Ro

> In 1990, the amount of earnings required to earn one Social Security credit was $520. In the tax year 1990, Maggie earned $187 biweekly. How many Social Security credits did she earn in 1990?

> NuEditions Book Company uses a final average salary formula to calculate an employee’s pension benefits. The amount used in the calculations is the salary average of the final 3 years of employment. The retiree will receive an annual benefit that is equi

> Petra’s employer offers an annual pension benefit calculated by multiplying 2.46% of the career average salary times the number of years employed. Here are Petra’s annual salaries over the last 16 years of employment: Years Employed Multiplier 15–19 $52

> Circuit Technologies offers their employees a flat pension plan in which a predetermined dollar amount (multiplier) is multiplied by the number of years of service to determine the monthly pension benefit using the schedule shown. After working at Circui

> Regina is a 45-yearold supervisor for a communications company. Her tax filing status is married filing separately. She withdrew $50,000 from her tax-deferred retirement account to pay off her loans. Reginaâs taxable income for that yea

> Hannah contributed $300 per month into her retirement account in pre-tax dollars during the last tax year. Her taxable income for the year was $72,000. She files taxes as a single taxpayer. a. What would her taxable income have been had she contribute

> Hillary’s employer offers an annual pension benefit for employees that have worked for the company for more than 10 years. The benefit is calculated by multiplying 5.08% of the career average salary by the number of years that exceeds 10 that the employe

> Mitch opened a retirement account that has an annual rate of 2.2% compounded annually. He is planning on retiring in 13 years. How much must he deposit into that account each year so that he can have a total of $1,000,000 by the time he retires? Round to

> How can the quote be interpreted in the context of what you have learned in this section about Social Security?

> Deanna is 62 years old. She plans to retire in 3 years. She has $300,000 in a savings account that yields 2.25% interest compounded daily. She has calculated that her final working year’s salary will be $94,000. She has been told by her financial advisor

> The Lieberman Insurance Company sells a 5-year term insurance policy with face value of $250,000 to a 39-year-old man for an annual premium of $973. The mortality table is given below. a. Assume the policyholder pays the premium annually. What is the i

> Use the mortality table to answer parts a and b. a. If the company insures 10,000 63-year-old males, how many are expected to die before their 64th birthday? Round to the nearest integer. b. Based on the table, what is the probability that a 63-year-o

> In 2016, the maximum taxable income for Social Security was $118,500. The tax rates were 6.2% for Social Security and 1.45% for Medicare. a. What is the maximum anyone could have paid into FICA tax in the year 2016? b. Bill had two jobs in 2016. One em

> A company is interested in producing and selling a new device called an eye POD (eyewear personal optical device). The eye POD is an MP3 and video player built into a pair of sunglasses. The user can listen to music from the small earphones and watch vid

> Alexa is starting a small business. She has done a great deal of research in supply, demand, expense, and revenue directly relating to what her business will be selling. Based on the data, she has determined her profit function to be P = - 200p2 – 200p+

> Express the revenue function in terms of price given the demand function. a. q= -900p + 120000 b. q= - 88000p + 234 000000

> Let the expense function for a particular item be defined as y = -1,950x + 53,000. Let the revenue function be defined as y = -450x2 + 10,000x, where x represents price in each equation. Use the window on the right. a. Graph the two functions. b. Det

> How can K 0.76K be interpreted? PG [email protected] BAC [email protected] DIS 2.55K @95.31V1.08 K [email protected]

> The graph of a straight line depreciation equation is shown. a. Use the graph to approximate the value of the car after 4 years. b. Use the graph to approximate the value of the car after 5 years. c. Use the graph to approximate when the car will be

> Mountaineer Products Incorporated manufactures mountain-bike accessories. It is considering making a new type of reflector for night biking. The expense and revenue functions are E = -450 + 90,000 and R = -185p2 + 9,000. a. Determine the profit function

> The demand function for a certain product is q = -300 + 10,000. The fixed expenses are $500,000 and the variable expenses are $2 per item produced. a. Express the expense function in terms of q. b. Use substitution to express the expense function in te

> A company is interested in producing and selling a new device called an eyePOD (eyewear personal optical device). The eyePOD is an MP3 and video player built into a pair of sunglasses. The user can listen to music from the small earphones and watch video

> The number of days each licensed driver in Marion County uses a commuter rail line annually is normally distributed with mean 66 and standard deviation 21. Explain why these licensed drivers would not be an appropriate population to take a sample from if

> A company is interested in producing and selling a new device called an eyePOD (eyewear personal optical device). The eyePOD is an MP3 and video player built into a pair of sunglasses. The user can listen to music from the small earphones and watch video

> Review Example 3. An alternative method for solving Example 3 would have been to use the present value formula from Section 2-8 as shown here: In parts aâh below, write the equations that result when you follow the steps of this formu

> Ravi was driving on an asphalt road with a drag factor of 0.75. His brakes were working at 85% efficiency. He hit the brakes in order to avoid a dog that ran out in front of his car. Two of his tires made skid marks of 36 ft and 45 ft, respectively. What

> A company is interested in producing and selling a new device called an eye POD (eyewear personal optical device). The eye POD is an MP3 and video player built into a pair of sunglasses. The user can listen to music from the small earphones and watch vid

> The straight line depreciation equation for a car is 2,680 26,800 52 1 yx . a. How much is the car worth after 48 months? b. How much is the car worth after 75 months? c. Suppose that M represents the length of time in months when the car still has va

> A company is interested in producing and selling a new device called an eye POD (eyewear personal optical device). The eye POD is an MP3 and video player built into a pair of sunglasses. The user can listen to music from the small earphones and watch vid

> The graph shows supply and demand curves for the newest game controller for the VVV video game system a. What is the equilibrium price? b. What will happen if the price is set at $7.99? c. How many game controllers are demanded at a price of $7.99?

> Zyco Corp pays an annual dividend of $2.10 per share. On Tuesday it closed at $72 per share with a net change of 10.95. The dividend remained at $2.10 for several months. a. What was the yield on Tuesday? Round to the nearest tenth of a percent. b. At

> Aaron owned x shares of a corporation and received an annual dividend of y dollars. Express the quarterly dividend for one share algebraically.

> Bootle Corp paid Leslie a quarterly dividend payment for $828. Leslie owns 450 shares of Bootle. What was the quarterly dividend for one share of Bootle?

> If Geoff makes quarterly deposits of $1,000 into an account that pays 1.4% interest quarterly, how long will it take for his principal to grow to $10,000? Use the future balance of a periodic investment formula from Example 3 to answer the question. Roun

> Deanna purchased $24,000 worth of stock and paid her broker a 1% broker fee. She sold the stock when it increased to $29,100 3 years later and used a discount broker who charged $35 per trade. Compute her net proceeds after the broker fees were taken out

> A local hairstylist bought 450 shares of a cosmetics corporation for $33.50 per share. He sold the shares for $39.01 per share. a. What was the percent increase in the price per share? Round to the nearest tenth of a percent. b. What was the total purch

> Maribel purchased 2,000 shares of stock for $25.43 per share. She sold them for $44.10 per share. Express her capital gain to the nearest tenth of a percent.

> The straight line depreciation equation for a car is 2,750 22,000 52 1 yx . a. What is the car worth after 5 years? b. What is the car worth after 8 years? c. Suppose that A represents a length of time in years when the car still has value. Write an a

> The top three shareholders in a certain corporation each own s shares of stock. The corporation’s ownership is represented by a total of x shares of stock. Express the percent of the corporation owned by the top three shareholders algebraically.

> Millie is considering a zero closing cost loan. She wants to borrow $600,000. Her lending institution is offering her a 3.49% loan for 25 years. She has the option of purchasing negative points, which will increase her APR by 0.125% for each 1% of her pr

> Ryan wants to take out a $520,000 loan with an APR of 4.15% for 20 years. He can purchase a discount point for 1% of his principal that will decrease his APR by 0.125%. If Ryan purchases 3 points, after how many months will he breakeven?

> Calculate the missing amounts in the amortization table, which shows extra payments toward the principal made each month. Paymnet Number Beginning Balance Monthly Payment Extra Towards Towards Ending Balance Рayment Interest Principal 1 $190,000.00

> Michelle took out a $370,000, 30-year, adjustable-rate mortgage with a 2.8% initial 6-month rate. The amortization table for the initial rate period is shown. After the first 6 months, the rate went up 3.4%. Calculate the next line of the amortization ta

> Use the spreadsheets from Sections 7-4 and 7-6 to compare the following two situations after a 7-year period Total amount paid and total amount paid to principal for a $370,000, 20-year monthly rent that has an mortgage with an APR of 4.15% Total a

> Amita wants to make monthly deposits of $200 into a savings account that offers 1.5% interest compounded monthly. Use the future balance of a periodic investment formula from Example 3 to determine how long it will take for the account balance to reach $

> Use the following 25 consecutive days’ closing prices for AT&T to determine linear, quadratic, cubic, and quartic regression equations. What trends do you see? What are your predictions for the closing price on the 26th trading day? Starting

> Suki purchased $9,600 worth of stock and paid her broker a 1.75% broker fee. She had an immediate need for cash and was forced to sell the stock when it was worth $8,800. She used a discount broker who charged $32.50 per trade. Compute Suki’s net loss af

> Tom purchased shares of DuPont for $47.65 per share. He plans to sell the shares when the stock price rises 20%. At what price will he sell his shares?

> A stock that was selling for x dollars per share underwent a y-for-p split. It was originally paying an annual dividend of d dollars per share. Express the annual dividend after the split algebraically.

> The straight line depreciation equation for a motorcycle is 2,150 17,20052 1 yx . a. What is the original price of the motorcycle? b. How much value does the motorcycle lose per year? c. How many years will it take for the motorcycle to totally deprec

> The stock in a real-estate corporation was selling for $78 per share with an annual dividend of $1.86. It underwent a 3-for-2 split. a. What was the value of one share of the stock after the split? b. What was the annual dividend after the split?

> Patrick sold his shares of AT&T (T). a. How many shares did he sell? b. For how much did each share sell? c. Based on Patrickâs sale, what was the closing price of T on the previous trading day? GE [email protected] F.67K@1

> Nick bought some shares of Ford Motor Co (F). a. How many shares did Nick buy? b. How much did each share cost? c. What was the value of Nickâs trade? GE [email protected] [email protected] [email protected] 1.47 T [email protected]

> Use the table of closing prices for Microsoft. Round answers to the nearest cent. a. Determine the 3-day simple moving averages. b. Determine the 10-day simple moving averages. Date Close 3-day Average 10-day Average 23-May 27-May 28-May 29-May 3

> Gene owns 1,200 shares of XYX Corp. The company instituted a 1-for-10 reverse stock split on November 7. The pre-split market price per share was $1.20. a. How many shares did Gene hold after the split? b. What was the post-split price per share? c. S

> Leni opened a savings account that pays 0.8% interest compounded quarterly. Her initial deposit was $50. How long would she have to leave the money in the account for it to double?

> Lea owns 800 shares of ABC Inc. On April 6, the corporation instituted a 5-for-2 stock split. Before the split, each share was worth $42.60. a. How many shares did Lea hold after the split? b. What was the post-split price per share? c. Show that the

> Use the candlestick chart to answer the questions below. a. What was the approximate low on June 20? b. What was the approximate high on this date? c. What was the difference between the opening price and the closing price? d. What does the red can

> Use the stock bar chart to answer the questions below. a. What was the dayâs open on June 17? b. What was the approximate difference between the dayâs high and low on JuneÂ 18? c. On what day was the cl

Question: The expense function for a widget is

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