Greenyard’s manufactures and sells yard furniture made out of recycled materials. The company is considering making a lawn chair from recycled aluminum and fabric. The expense and revenue functions are E = -1,850 + 800,000 and R = -100p2 + 20,000. 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.
> A rectangular room measures 18 feet by 25 feet. It is going to be covered with carpeting that sells for $8.45 per square foot. a. What is the area of the room in square feet? b. If the room is drawn to a scale of ¼ inch represents 1 foot, give the dime
> Mike pays $8,000 in property taxes, but receives a 28% tax deduction for it. What is Mike’s net expense for property taxes?
> Ina is depositing money into a savings account that pays 1.4% interest compounded quarterly. She wants to determine how long it will take for $2,000 to grow to $2,400. Use the steps below to find the value of t to the nearest year. a. Substitute the val
> Ann’s W-2 form reported total Medicare wages as $88,340. She contributed $50 per weekly paycheck to her FSA and $90 per weekly paycheck to her retirement plan. She received a 1099 form from her bank for her savings account interest in the amount of $800
> Write a piecewise function to represent the tax y for the taxable income interval in Schedule Y-2 below for a taxpayer whose filing status is married filing separately.. Schedule Y-2- If your filing status is Married filing separately If your taxabl
> Patrick earns x dollars per hour for his regular 40 hours per week. He also works 3 hours overtime each week, at a time-and-a-half rate. Express his annual salary algebraically.
> Let x represent the taxpayer’s taxable income and y represent the tax. Express the line of the Schedule D worksheet below as a linear equation in 51 ymxb form. Use interval notation to define the income range on which each of your equat
> Use Schedule Y-1 to answer the questions below. a. What is the tax for taxpayers filing jointly with a combined taxable income of $134,786? b. A married couple’s tax is approximately $30,000. What is their approximate taxable income?
> Determine the tax for each filing status and taxable income amount listed using the tax tables in the Appendix, or using the current tables at www.irs.gov, depending on what your teacher requires. a. single $97,642 b. head of household $95,100 c. marr
> The Price King Auto Mall pays their sales staff by commission. They are paid a percent of the profit the dealership makes on each sold car. If the profit is $900 or less, the commission rate is 18%. If the profit is greater than $900 and less than or equ
> Josephine is looking for a new part-time job as a plumber. She responds to an ad for a position that pays $44.5K. What would her weekly salary be to the nearest cent if she gets this job?
> Delia purchased a new car for $25,350. This make and model straight line depreciates to zero after 13 years. a. Identify the coordinates of the x- and y-intercepts for the depreciation equation. b. Determine the slope of the depreciation equation. c.
> Stewart has $25,000 worth of property damage insurance and a $1,000 deductible collision insurance policy. He crashed into a fence when his brakes failed and did $7,000 worth of damage to the fence. The crash caused $3,600 in damages to his car. a. Whic
> Grahams Ville High School recently polled its teachers to see how many miles they drive to work each day. At the left is a stem-and-leaf plot of the results. a. How many teachers were polled? b. Find the mean to the nearest mile. c. Find the median.
> Kathy purchased a new car for $37,800. From her research she has determined that it straight line depreciates over 14 years. She made a $7,000 down payment and pays $710 per month for her car loan. a. Create an expense and depreciation function where x
> Prices for used stainless-steel side trim for a 1957 Chevrolet convertible are $350, $350, $390, $400, $500, $500, $500, $600, $650, $725, $800, $850, $900, and $1,700. The prices vary depending on condition. a. Find the mean of the trim prices to the n
> A car is originally worth $43,500. It takes 12 years for this car to totally depreciate. a. Write the straight line depreciation equation that models this situation. b. How long will it take for the car to be worth one-quarter of its original price?
> Gina has 250/500/50 liability insurance and $50,000 PIP insurance. One afternoon, she changed lanes too quickly, hit the metal guard rail, and then hit a tour bus. Four people are seriously hurt and sue her. Twenty others have minor injuries. Gina’s boyf
> The Lupos had x dollars in medical expenses. Medical insurance covered 80% of these expenses, so they had to pay 20% of the medical bills. For taxpayers in the Lupos’ age bracket, the IRS allows medical and dental expense deductions for the amount that e
> The historical prices of a car with the same make, model, and features are recorded for a period of 10 years in the table at the right. Historical Prices Age .……………………………………………………………………………………………… Value ($) 0 .……………………………………………………………………………………………………… 32,0
> A local publication charges by the character for automotive ads. Letters, numbers, spaces, and punctuation count as characters. They charge $34 for the first 100 characters, and $0.09 for each additional character. If x represents the number of character
> In many states, the weekly unemployment compensation is a certain percentage of the average week’s salary calculated by taking the total of the two highest-salaried quarters and dividing by 26 (as in question 14 above). A quarter is 3 c
> An elite private college receives large donations from successful alumni. The account that holds these donations now has $955 million. a. How much would the account earn in 1 year of simple interest at a rate of 2.33%? Round to the nearest cent. b. How
> Use the One-to-One Property and the Power Property to find the value of t to the nearest tenth in each of the following. a. 15 = 3t b. 5t = 390,625 c. 82t = 512 d. (1.2) t - 3 = 2.985984 e. 10 1 2 -1 = 549
> The FICA and Medicare percentages for the years 1980, 1990, 2000, and 2010 are shown in the table. Note that in 1980 and 1990, the Social Security percent included the Medicare payments. a. Calculate the Social Security and Medicare taxes for those yea
> In 2008, the Social Security tax percentage was 6.2% for the first $102,000 earned. The Medicare tax percentage was 1.45% of your entire salary. Darby made $143,000 in 2008. a. Write the combined taxes, y, as a piecewise function where x represents the
> In Don’s state, unemployment compensation is calculated by finding the total of the quarterly wages of two consecutive quarters and dividing that amount by 26. The weekly unemployment amount is 47% of that figure. In the quarter consisting of January, Fe
> Anton works at First National Bank. His employer offers him a pension retirement plan, which will be 1.45% of his average salary for the last 5 years of employment for every year worked. Anton is planning on retiring at the end of this year after 22 year
> Gabe contributes 15% of the total cost of the individual health care coverage his company offers. He pays $28.80 per week toward this contribution. What is the total value of Gabe’s health care coverage for the year?
> Jean’s Jeans pays its sales staff a commission of 4% of the first $1,000 in sales and 6% of the balance of sales, plus a weekly salary. If a salesperson sold x dollars of clothing and x . $1,000, express the commission earned algebraically.
> Identify the error(s) on Rorie’s W-2 form at the right. For each exercise, complete the indicated forms to find the amount of refund or amount owed. Round all answers to the nearest dollar. Use the tax tables in the Appendix or you can
> Jake and Gloria are married, filing jointly. Their taxable income without deductions was $120,440. They were able to reduce their total income by $25,381 using Form 1040 and Schedule A. How much did they save in tax by claiming these deductions? Use the
> Paula is a freelance graphic artist who makes book covers for paperback novels. She is paid $500 per cover she creates. Last week it took her 36 hours to draw four covers. Based on this, what is her approximate hourly wage to the nearest $10.00?
> Jim received a total piecework paycheck of $291.81. He receives 71 cents per unit produced. How many units did he produce?
> Use the change-of-base formula to write the given logarithm as a quotient of common logs. a. log5 200 b. logx y c. logw 8 d. log9 z e. ln y
> Businesses deposit large sums of money into bank accounts. Imagine an account with $10 million in it. a. How much would the account earn in 1 year of simple interest at a rate of 2.12%? Round to the nearest cent. b. How much would the account earn in 1
> An author writes a computer self-help manual that sells for x dollars each. He received a bonus of $1,000 to sign with his publisher, and he receives 10% commission on each book sale. Express the total amount of income he earns from selling y books algeb
> Tania earns $13.50 per hour at the Glendale Florist. She regularly works 40 hours per week. She is paid time-and-a-half for each hour of overtime work. Last week she worked 43 hours. What was her gross pay for the week?
> Carole worked her 40 regular hours last week plus 5 overtime hours at the time-and-a-half rate. Her gross pay was $451.25. What is her regular hourly rate?
> Derek is placing a seven-line job posting for an assistant. The following piecewise function gives the price of an x-line posting. Find the difference between the cost of a six-line ad and the cost of a seven line ad. 32 a(x) = when x <3 32 + 9(x
> Frank got a new job through the Valley Recruiting Service. The job pays $51K per year, and the agency fee is equal to 35% of 1 month’s pay. How much must the employer pay the agency?
> The Lennon family is renting an outdoor movie screen for their backyard party. The screen is 12 feet high, and it needs to be tethered to the ground with four guy wires 15 feet long. a. How far from the screen must they attach the guy wires? b. What is
> A random group of 600 single parents, from ten thousand in a certain state, is to be chosen using a random number table. a. How many digits will be assigned to each person? b. Would it be possible for the random sample of 600 single parents to contain
> The following question is from an actual Democratic Party questionnaire sent out in 2016. How should the Democratic National Committee react when Republicans and their special interest backers target Democrats with lies and personal attacks? Is this an e
> Six college roommates have decided to make bracelets and necklaces as a way of paying down their student loans. They have made an arrangement with a local wholesale jeweler who will deliver 9,000 grams of metal to them each week. According to their desig
> How can @12.70 be interpreted? PG [email protected] BAC [email protected] DIS 2.55K @95.31V1.08 K [email protected]
> In the spreadsheet, the prompts for entering data are in column A. The user enters the data in column B a. Write the spreadsheet formula that will calculate the skid distance in cell B9. b. Write the spreadsheet formula that will calculate the minimu
> 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
> Winnie purchased a new car for $54,000. She has determined that it straight line depreciates to zero over 10 years. When she purchased the car, she made an $8,000 down payment and financed the rest with a 4-year loan at 4.875%. You can use the monthly pa
> 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
> 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
> Esteban’s employer offers a pension plan that calculates the annual pension as the product of the final average salary, the number of years of service, and a 2% multiplier. His employer uses a graded vesting formula according to the schedule shown. Esteb
> An energy-efficient refrigerator costs $1,600. It has an expected annual electricity cost of $100. a. Set up an expense function A(x) to represent the cost of owning and operating this refrigerator over a period of x years. b. Suppose a second, less e
> Damon and Kisha have each set up three savings accounts: “Vacation Savings,” “Student Loan Savings,” and “Taxes Savings.” Examine their savings bu
> What is the debt-to-income ratio for a person who has monthly liabilities equal to x dollars and an annual income equal to y dollars?
> Kalani has these monthly liabilities: rent $879, car payment $315, credit card payment $102. She has an annual income of $96,448. What is her debt-to income ratio, expressed as a percent?
> Use the Power Property of logarithms to determine the value of each expression below. In some cases, there will be a numerical answer. In others the answer will be an algebraic expression. a. log (103) b. log (rs) c. log2 x3 d. ln e4 e. ln xy
> Abram’s monthly liabilities equal $2,400 and his monthly assets are $6,800. What is his debt-to-income ratio, expressed as a percent?
> The information at the left is entered in a spreadsheet. Write a spreadsheet formula that will calculate the net worth.
> A cable TV/Internet/phone provider charges new customers $90 for all three services, per month, for the first year under their 90 NOW promotion. Alice normally pays $59 for her monthly home phone service, $49 for Internet service, and $69 for cable telev
> The original price of a car is entered into spreadsheet cell A1 and the annual depreciation amount in cell B1. a. Write the spreadsheet formula to determine the number of years it will take for the car to totally depreciate. b. The spreadsheet user is
> Phone-Phriends charges $44 for a cell phone plan with unlimited text and talk and 3GB of data usage per month. Each gigabyte, or part thereof, over the 3GB costs $16. Find the difference in the monthly bill between using 5.9GB of data and 6.1GB of data.
> Jackson purchased $5,200 worth of electronic equipment from Better Buy on their deferred payment plan. The plan allows the customer to make no down payment and no payment at all for 5 months. If the entire amount is paid in full before the 5-month deferm
> Jillian’s cell phone plan costs $55 per month, and includes 4GB of data usage. Each extra gigabyte, or part thereof, costs $15. Express the cost c(x) of using xGB in a billing period as a piecewise function using the greatest integer function.
> The Seinfeld family pays m dollars per month for electricity under balanced billing. At the end of the year, they had used less electricity than the balanced billing covered, and the utility company owed them a credit of c dollars. Express their total el
> Create a frequency budget plan for Nelson. Although his groceries, gasoline, dining-out, and entertainment expenses were listed as monthly for the cash flow, they should be considered as weekly expenses here. Round the weekly amount up to the nearest dol
> Use a cash flow spreadsheet (See Example 1 on page 691) to construct a cash flow plan for Nelson. What is his monthly cash flow? Nelson's Financial Report Income Musician, monthly after-tax income: $7,000 Music lessons, monthly after-tax income: $1,
> Read the quote at the beginning of this section. Interpret the quote in terms of what you have learned about investing in interest-bearing accounts.
> Under her “Dinner” budget category, Diane allocated $600 per month for eating in and dining out. She figures that eating in will cost her approximately $8 and dining out will cost her approximately $24. Let x represent the number of dinners eaten in, and
> The circle graph shows a monthly utility budget. a. Suppose that $800 was budgeted for the month. Determine the exact amount for each category. b. Suppose that $117 was budgeted for water. What would be the amount budgeted for cell phone usage? c. Supp
> Leonard works as a waiter in an upscale city restaurant. He makes a very good salary plus tips. His monthly income varies based on the nights he works. His quarterly dividend checks and interest income have varied but not by a large amount. He used actua
> Marissa’s Beauty Salon has six hair dryers that each require 500 watts when switched on. How much would it cost to run all six dryers for 7 hours, at a cost of $0.15 per kWh? Round to the nearest cent.
> The original price of a car is entered into spreadsheet cell A1 and the length of time in years it takes to totally depreciate is entered into cell B1. a. Write the spreadsheet formula that calculates the amount that the car depreciates each year. b. T
> Kings Park Water Works uses water meters that measure water usage in ccf. They charge $0.18 per ccf of water. If Jack’s previous meter reading was 34,765 ccf and his present water reading is 36,900 ccf, what was his water bill for the service period?
> Jessica pays health, car, home, and life insurance over the course of a year. The chart below indicates her monthly insurance budget expenses. Create a bar graph to chart these expenses. Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec 250 200 300 20
> The Secret Service has drastically reduced the occurrences of counterfeit money since the Civil War. Nevertheless, the problem still exists. In 2015 it was reported that $1.36 trillion in U.S. bills were in circulation. It was estimated that 0.25% of tha
> There are billions of credit cards in use today. Imagine a pile of 1.5 billion credit cards. How far would they stretch end-to-end? 1. A credit card’s length is 85.6 mm. Convert this length to inches using an online metric conversion table. Round to the
> Dani deposited $20,000 into an account that compounds interest monthly at a rate of 1.26%. His plan is to use the account to make direct withdrawals each month of $800 to pay his rent. How many months of rent will he be able to pay until the account gets
> You own k shares of a stock that is selling for x dollars per share. The quarterly dividend is y dollars per share. a. Express the annual dividend for one share algebraically. b. Express the annual dividend for all k shares algebraically. c. Express the
> Ellen wants to make quarterly deposits of $1000 into a savings account that offers 1.4% interest compounded quarterly. How long will it take for the balance to grow to $15,000?
> Dennis won $96,000 in a lottery. He decided to deposit the money into an account that pays 1.8% interest, compounded monthly. When the balance reaches $120,000, he plans to buy a beach cottage. How long will it take before he can make that withdrawal?
> Tom wants to have $50,000 saved sometime in the future. How much must he deposit every month into an account that pays 1.45% interest, compounded monthly? Use a graphing calculator to graph the present value function.
> Use a table of increasing values of x to find each of the following limits. If no limit exists, say the limit is undefined. 9x - 1 a. lim f(x) if f(x) = %3D Зх — 5 Зx2 + 9х b. lim g(x) if g(x) = 4х + 1 7x c. limh(x) if h(x) = x? - 41
> Jazmine needs $30,000 to pay off a loan at the end of 5 years. How much must she deposit monthly into a savings account that yields 1.15% interest, compounded monthly?
> A car is originally worth $34,450. It takes 13 years for this car to totally depreciate. a. Write the straight line depreciation equation for this situation. b. How long will it take for the car to be worth half its value? c. How long will it take for
> Stephanie signed up for a direct deposit transfer into her savings account from her checking account. Every month $150 is withdrawn from her checking account. The interest in this account is at 1.6%, compounded monthly. How much will be in the account at
> Santos deposited $1,800 in an account that yields 2.1% interest, compounded semi-annually. How much is in the account after 54 months? Round to the nearest cent.
> Examine each of the following situations, labelled I, II, and III. Identify which of the three cases below applies. Do not solve the problems. I. future value of a single deposit investment II. future value of a periodic deposit investment III. pr
> Find the interest earned on a $25,000 deposit for 2 years at 4.7% interest, compounded continuously. Round to the nearest cent.
> Walt Disney Co paid a $1.42 annual dividend on a day it closed at a price of $96 per share. a. What was the annual dividend for 500 shares? b. What was the quarterly dividend for 500 shares? c. Express the yield as a fraction. d. What was the yield t
> Austin deposits $2,250 into a 1-year CD at an interest rate of 2.3%, compounded daily. a. What is the ending balance after the year? Round to the nearest cent. b. How much interest did the account earn during the year? c. What is the annual percentage
> How much more would $10,000 earn in 3 years compounded daily at 1.33%, than compounded semi-annually at 4.33%? Round to the nearest cent.
> Nick deposited $3,000 in a 3-year CD account that pays 4.08% interest, compounded weekly. What is the ending balance? Round to the nearest cent.
> Matt has two single accounts at Midtown Bank. One account has a balance of $74,112.09 and the other has a balance of $77,239.01. a. What is the sum of Matt’s balances? b. Is all of Matt’s money insured by the FDIC? Explain.
> Nine months ago Alexa deposited $7,000 in a 3-year CD. She has received $224.16 in interest. She withdraws $1,000. This is before the CD matures, so she pays a $250 penalty. What is her balance after the withdrawal?
> Ruth has a savings account at a bank that charges a $3.50 fee for every month her balance falls below $1,500. Her account has $1,722 and then she withdraws $400. What is her balance in 5 months if her account balance never reaches $1,500? Round to the ne
> How might those words apply to what you have learned in this lesson?
> Find the simple interest on a $2,219.00 principal, deposited for 6 years at a rate of 1.91%. Round to the nearest cent.
> Rebecca opened a savings account on March 20 with a $5,200 deposit. The account pays 3.99% interest, compounded daily. On March 21 she made a $700 deposit, and on March 22 she made a $500 withdrawal. Use this information to find the missing amounts. Roun
> Rhonda deposits $5,600 in a savings account that pays 1½% interest, compounded semi-annually. Round to the nearest cent. a. How much interest does the account earn in the first 6 months? b. What is the ending balance after 6 months? c. How much intere
