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Financial Algebra advanced algebra with financial applications 1st edition Robert K. Gerver - Solutions

Danny just answered a help-wanted ad. The ad states that the job pays $27K annually. What would Danny's monthly salary be if he gets this job?
Becky is looking for a new job as an account executive. She responds to a classified ad for a position that pays 34.5K. What would Becky's weekly salary be to the nearest cent, if she gets this job?
The Rockville Employment Agency just placed Howard Jacobson in a job as a junior pharmacist. The job pays $51.2K. The agency fee is equal to 40% of the first three weeks' pay.a. What is Howard's weekly salary to the nearest cent?b. What will Howard earn during the first three weeks? c. How much
Maple Place Garage is posting five job listings with the online service from Example 4. a. How much is each posting?b. How much less does Maple Place pay per posting compared to the price for one posting? c. What is the cost of the five postings? d. What is the total savings for the five
Roger wants to have 400 copies of his resume printed. His local print shop charges $21.50 for the first 200 copies and $10 for every 100 additional copies. a. How much will the 400 copies cost, including a sales tax of 6%?b. If the number of sets of 100 resumes is represented by x, express the cost
Pat earns $575 per week at her new job. Express her annual salary using the K abbreviation found in classified ads?
Interpret the quote in the context of what you learned about jobs and salaries?
Last year Nancy's annul salary was x dollars. This year she received a raise of y dollars per year. She is paid semimonthly.a. Express her semimonthly salary last year algebraically.b. Express her semimonthly salary this year algebraically.c. On a monthly basis, how much more does Nancy earn as a
Lynn regularly works a 40-hour week and earns $9 per hour. She receives time and a half pay for each hour of overtime she works.a. What was her regular gross pay?b. What was her hourly overtime rate?c. What was her overtime pay?d. What was her total pay for the week?
Tom earns $12.50 per hour at the Yankee Bowling Alley. He regularly works 40 hours per week. He is paid time and a half for each hour of overtime work. Last week he worked 42 hours. What was his gross pay for the week?
Pedro works 35 regular hours per week at the Meadow Deli. His hours over 35 are considered overtime. He earns $9.20 per hour and receives time and a half pay for each hour of overtime he works. Last week he worked 41 hours and received a gross pay of $305.80. This amount is incorrect. How much does
Michael earns $10 per hour. He regularly works 40 hours per week. How many overtime hours would he have to work in a week for his overtime pay to be greater than his regular gross pay?
Jim worked 40 regular hours last week, plus 8 overtime hours at the time and a half rate. His gross pay was $1,248.a. What was his hourly rate?b. What was his hourly overtime rate?
Julianne works as a waitress. She earns $5.90 per hour plus tips. a. Today she worked x hours. Express her pay for these hours algebraically.b. She served nine tables. The total bill for these nine tables was y dollars. Julianne received 18% in tips from these bills. Express the amount she received
Mike works at Cheesecake King. He earns $11 per hour as a busboy.The waiters he helps give him 25% of their tipsa. If Mike worked 6 hours today, how much did he earn, without tips?b. The waiters Mike assisted waited on 16 tables, and the total bill from all these tables was $1,188. The waiters
Gary earns 42,990 per year. He is paid weekly. He currently has a $456-per month car loan payment, and he pays $1,277 per year for auto insurance. Is one week's paycheck enough to pay for his monthly auto loan and his monthly cost of insurance? Explain.
The following spreadsheet can be used to compute total weekly pay, given the hours, hourly rate, and overtime rate.a. Write the formula to compute the regular gross pay in cell D2.b. Write the formula to compute the overtime hours in cell E2.c. Write the formula to compute the time and a half
Marty is working with a math problem that defies insulting. He is going to pay his gardener for the entire month of July. He will pay the gardener every day. On the first day, he will pay the gardener $0.01. On the second day, he will pay double the first day, $0.02. On the third day, he will
John's weekly salary is $478.25. His employer is changing the pay period to semimonthly.a. What is John's annual salary?b. What will John's semimonthly salary be to the nearest cent?
Ralph earns $72,000 annually as an architect and is paid semimonthly. Alice also earns $72,000 but she is paid biweekly.a. How many more checks does Alice receive in a year when compared to Ralph?b. What is the difference between Ralph's semimonthly salary and Alice's biweekly salary? Round to the
Last year Beth's annual salary was $38,350. This year she received a promotion and now earns $46,462 annually. She is paid biweekly.a. What was her biweekly salary last year?b. What is Beth's biweekly salary this year?c. On a biweekly basis, how much more does Beth earn as a result of her promotion?
Alanna is a stockbroker. She receives a commission based on the value of the trades she makes.a. If Alanna earns $50 for sales of $1,000, what is her percent of commission?b. If she earns x dollars for sales of y dollars, express her percent of commission algebraically.
Barb works in a local factory. She receives 92 cents for each of the first 100 units she produces and $1.01 for each unit over 100. Yesterday, she produced 120 units. How much did Barb earn?
Bill works for the Stuff-It Mailing Service. He receives 25 cents for each document he puts together and prepares for mailing. Last week, Bill prepared 2,000 documents for mailing for a local department store. He received a check with gross pay of $474 and is certain that the amount is incorrect.a.
Audrey works in a factory. She receives a salary of $8 per hour and piecework pay of 12 cents per unit produced. Last week she worked 38 hours and produced 755 units. a. What was her piecework pay?b. What was her total hourly pay for the week?c. What was her total pay for the week? d. What would
Anton picks corn at a local farm. He is paid 80 cents per bushel for the first 50 bushels, 90 cents per bushel for the next 50 bushels, and $0.95 per bushel for all bushels picked over 100. Express algebraically the amount Anton earns if he picks x bushels, where x > 100?
Rock musician Donny West is paid 15% on his CD sales and tour video sales. Last year, he sold one million CDs and 550,000 videos. The CDs were sold to music stores for $5 each and the videos for $6 each. a. What was the total amount of CD sales?b. What was the total amount of video sales?c. What
Arielle receives a piecework rate of 10 cents per unit from the Wiggy Factory. Her production record for last week was affected by a machinery breakdown on Tuesday. Her production results were: Monday, 375 units; Tuesday, 22 units; Wednesday, 410 units; Thursday, 390 units; and Friday, 390 units.a.
Janice is a travel agent. She receives a 7% commission based on the value of the trips she books. Today she spent five hours arranging a $3,300 cruise for a newlywed couple.a. How much commission did she earn?b. What was her man hourly pay for the work she did?
Appel's Music Store pays its sales staff a commission of 9.5% of the first $1,000 in sales and 15.5% of the balance of sales. Alex, the store's drum expert, received $1,234.25 in commission last week. What were his total sales for the week?
Salespersons at the Kings Park Auto Giant are paid a commission, c(p), based on the profit, p. The following piecewise function gives the commission rules.a. If the profit is $1,500, what is the percent commission rate?b. If the profit is $900, what is the percent commission rate? c. What is the
McCormack Chrysler pays their sales staff by commission. They are paid a percent of the profit the dealership makes on the car. If the profit is $500 or less, the commission rate is 17%. If the profit is greater than $500 and less than or equal to $1,100, the commission rate is 20%. If the profit
Aileen is a salesperson at Lopez Sporting Goods. She is paid a monthly commission on all Little League uniforms she sells. She receives 10% of her first $2,000 in sales and 12% of the balance of her sales. Last week she earned $231.20. What was the total value of the uniforms she sold?
Oscar sells Internet access subscriptions by telephone. He receives 12% of the first $1,000 and 15% on the balance over $1,000. Last month he sold $7,500 worth of Internet access subscriptions. What was his commission for last month?
How can the quote be interpreted in light of what you have learned?
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 four working years' salaries in cells B3-B6. That 4-year average salary is calculated and displayed in cell B7. The yearly pension amount is
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 gross incomes from her last 26 paychecks 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 of January, February, and March, Rodger made a total of $13,950.80. In the quarter of
Roberto's employer offers a sliding paid vacation. When he started work, he was given three paid days of vacation. For each six-month period he stays at the job, his vacation is increased by two days. a. Let x represent the number of 6-month periods worked and y represent the total number of paid
When Lisa started at her current job, her employer gave her two days of paid vacation time with a promise of three additional paid vacation days for each year she remains with the company to a maxi- mum of four work weeks of paid vacation time.a. Let x represent the number of years she has worked
When Lou started his current job, his employer told him that he would receive two 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. Write an equation that models the
When George started his current job, his employer told him that at the end of the first year, he would receive two vacation days. After each year worked, his number of vacation days would double up to five work weeks of paid vacation.a. Let x represent the work year and y represent the number of
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 $40 per month for individual coverage and $85 per month for family coverage. If an employee makes at least $55,000 per year, individual
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 four years' salaries. In those years, he earned $82,000, $96,000, $105,000, and $109,000. His
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 three highest years' salary. Maureen has worked for Middletown for 27 years and is retiring. Her highest
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?
A politician is listening to y a proposal for a new Social Security tax plan. The graph is shown. The two parts of the graph are disconnected where x = 100,000. Explain why this would be an unfair Social Security tax function.
In a year when the maximum income for Social Security was $106,800, 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 Security tax, and the government must return
An All-Star baseball player earning $25,000,000 per year plays 162 games per year. If you divide the salary by the number of games, does that baseball player reach this year's maximum taxable income in the first game of the year?
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.
In 1990, Jerry's 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 Jerry pay in January?d. How much Social Security tax did Jerry pay in December?
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?d. How much Social Security tax did Dawn pay in May?
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 contribute to Social Security and Medicare in 1993. b. If
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?
Graph the Social Security tax function for 1992. What are the coordinates of the cusp? On the same axes, graph the Medicare function?
Josephine is looking for a new part-time job as a plumber. She responds to a classified ad for a position that pays 44.5K. What would her weekly salary be to the nearest cent if she gets this job?
In 2008, the Social Security percentage was 6.2% for the first $102,000 earned. The Medicare 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 income.b. How much did Darby pay in Social Security
The percentages at the turn of the 21st century are shown in the table. Ray worked at the same job for those three years making $80,400 without any increase in salary.a. Calculate his Social Security and Medicare taxes for those years. b. Calculate the percent of his salary for the combined taxes
In many states, the weekly unemployment compensation is a certain percentage of the 26-week average for the two highest-salaried quarters. A quarter is three consecutive months. In the spreadsheet below, the user enters the two highest quarter salaries and the state unemployment compensation
Frank got a new job through the Valley Employment Service. The job pays $51K per year, and the agency fee is equal to 35% of one month's pay. How much must Frank pay the agency?
Derek is placing a seven-line classified job for an assistant. The following piecewise function gives the price of an x-line ad.Find the difference between the cost of a 6-line ad and the cost of a 7-line ad?
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 was her hourly rate?
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?
Patrick earns x dollars per hour for his regular 40 hours per week. He also works three hours overtime each week, at a time and a half rate. Express his annual salary algebraically?
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 equal to $1,500, the com- mission rate is 20% of
Calculate the tax for each of the taxable incomes of a head of house- hold taxpayer.a. $400,000b. $108,962c. $201,102d. $106,000
Let w represent the tax for any taxable income t on the interval 182,400 < t ≤ 357,700. a. Calculate the lowest tax on this interval.b. Calculate the highest tax on this interval.c. Given the interval, 182,400 < t ≤ 357,700, express the tax in terms of w?
Calculate the tax using the computation worksheet for a head of household taxpayer with a taxable income of $115,700?
Using the tax schedule from Exercise 6, calculate the tax for the person in Exercise 14.
Use Schedule Z from Exercise 6 to calculate the tax for the tax- payer in Exercise 17. Show working.
Determine the tax for each filling status and taxable income amounta. Single $57,723b. Head of household $60,950c. Married filling jointly $63,999d. Married filling separately $57,521
Use Schedule Z from Exercise 6 to calculate the tax for the tax- payer in Exercise 17.
Given a taxable income amount, express the tax table line that would be used in compound inequality notation.a. i = $63,124b. i = $57,333
Given the taxable income amount, express the table line that would be used in interval notation.a. i = $57,555b. i = $63,411c. i = $57,333d. i = $63,301
Given the filing status and the tax, identify the taxable income interval that was used to determine the tax.a. Head of household $9,406b. Single $12,275c. Single $11,538 d. married filing jointly $8,291e. Married filing separately $10,788
Schedule Z - If your filling status is Head of householdCalculate the tax for each taxable income of a head of household.a. $400,000b. $10,954c. $108,962d. $201,102
For what taxable income would a taxpayer have to pay $5,975.00 in taxes? Explain your reasoning?
According to the tax schedule, Rich has to pay $25,000 in taxes. What is Rich's taxable income?
Kelly's taxable income is $110,000. Approximately what percent of her taxable income is her tax?
You are given this portion of a tax schedule from a pervious year for single taxpayers with income over $71,950.a. Model each of the three rows as a simplified equation in y = mx + b form.b. Create an associated tax computation spreadsheet for the tax schedule using the linear equations you have
Examine the following tax computation worksheet. Let x represent the taxable income and y represent the tax.a. Let Y1 represent the graphing calculator function for taxable incomes on the interval over $100,150 but not over $178,850. Write the calculator keystroke sequence for the equation that
Examine this tax schedule. Let x represent the taxable income and y represent the tax.a. What is the calculator keystroke sequence for an equation that models the tax on the interval over 32,550 but not over 65,725?b. What is the calculator keystroke sequence for an equation that models the tax on
Use the graph of a piecewise function with three equations.a. A taxpayer has a taxable income of $39,800. What is her tax?b. A taxpayer will owe $21,197. What is his taxable income?c. What is the approximate tax for an income of $30,000?d. What is the approximate tax for an income of $99,000?e.
Many people claim that once they are married, they pay more taxes than they did before they were married. Many call this a marriage penalty. Could this be true?Suppose that Alli and DeWitt are lawyers and each has a taxable income of $140,000. They can't decide if they should be married in December
There are six taxable income intervals in this chart. Let x represent any taxable income. Express those intervals in tax schedule notation, interval notation, and compound inequality?
Let y represent the tax and x represent the taxable income of a single taxpayer.a. Use the tax schedule to write three equations in y = mx + b form for values of x that are greater than or equal to $100,000.b. Use the distributive property and combine like terms to show how the equations relate to
Write a piecewise function to represent the tax f(x) for the first three taxable income intervals in the schedule for a married taxpayer who is filling separately.
Use the 2000 tax schedule for a married taxpayer filing jointly. Write an equation in y = mx + b form for a tax- able income in the interval over $105,950 but not over $161,450?
Use the 2006 tax schedule for a married taxpayer filing a married taxpayer filling jointly. Write the piecewise function for the tax intervals?
In 1998, a single taxpayer used this tax schedule. Let x represent the single tax- payer's taxable income and y represent that taxpayer's tax. Express the tax schedule as a piecewise function.
Use the tax computation worksheet for a head of household taxpayer's taxable income and y represent the tax. Express each line of the worksheet as a linear equation in y = mx + b form. Use interval notation to define the income range on which each of your equations is defined?
How can the quote be interpreted in light of what you have learned? Discuss.
Joe makes an hourly wage of $8.10. For hours worked over 40, he is paid at a rate of $12.15 per hour. Last week, Joe worked 45 hours.a. What is Joe's gross pay for this pay period?b. What is Joe's Social Security deduction?c. What is Joe's Medicare tax deduction?d. Joe's other deductions are:
Leslie works for Blanck Corporation. His annual salary is $57,285.50. a. What is Leslie's annual Social Security deduction?b. What is Leslie's annual Medicare deduction?c. Leslie is paid every other week. What is his biweekly gross pay?d. Each pay period, Leslie's employer deducts $418.63 for
Let A represent the number of the paycheck for the year. For example, if the paycheck was the fifth of the year, A is 5. Let B represent the biweekly gross pay. Let C represent the biweekly union dues contribution. Let D represent the biweekly health insurance deduction. Let E represent the
Complete the missing entries in the following pay stub.a. As indicated in the paycheck number box, this is the 18th pay- check of the year. Determine the current gross pay.b. What is the Social Security tax for this pay period?c. What is the year-to-date Social Security tax?d. What is the Medicare
How can the quote be interpreted in light of what you have learned? Discuss in detail.
Betsy and Rich Crosmour are married with two children. Rich is a chef and Betsy is a designer. This information was reported on their W-2 forms. Betsy and Rich received $1,287.43 in interest on bank deposits and $976 in stock dividends. Fill out a Form 1040A for Betsy and Rich.
Mukul is a teacher at Rockland School and he runs a tennis shop called Racket's Rackets. He and his wife Nikki have combined bank interest of $1,011. Nikki made $850 in tips last year. If they get a refund, they would like their money deposited into their checking account (number 88535244, with

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