Johnny took out a $500,000, 30-year mortgage with an APR of 4.15%. The first month he made an extra payment of $1,000. What was his balance at the end of that first month?
> 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 Patrick’s 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 Nick’s 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 day’s open on June 17? b. What was the approximate difference between the day’s high and low on June 18? c. On what day was the cl
> Use the table below to answer a-h. a. What was the difference between the 52-week high and the 52-week low for one share of AT&T? b. What was the difference between the day’s high and low for one share of Southern Copper? c. Which
> Nick and Matt are partners in a local health food store. They needed $73,000 to start the business. They invested in the ratio 3:7, Nick to Matt. a. How much money did each invest? b. What percent of the business was owned by Matt? Round to the nearest
> The straight line depreciation equation for a luxury car is y 5 23,400x 1 85,000. 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?
> The market value of a home is $311,000. The assessed value is x dollars. The annual property tax rate is a dollars per $1,000 of assessed value. Express the semi-annual property tax bill algebraically.
> The Maxwell family took out a $275,000, 20-year mortgage at an APR of 4.1%. The assessed value of their house is $9,400. Keep in mind that assessed value is the value used for property tax purposes, and not necessarily an indication of the market value.
> The Bricely family borrowed $176,000 from Glen Bank several years ago when they bought their co-op for $246,000. The price dropped d dollars since they bought it. After making years of payments and paying some of the principal, they now owe the bank b do
> Brianna just signed a lease on a rental apartment. The current rent is $1,330 per month, and she estimates a 6% increase each year. Use her estimate to predict the sum of the next 5 years’ worth of monthly rental expenses. Round to the nearest thousand d
> Miles would like to open up a CD that has an interest rate of 2.4% compounded monthly. His initial deposit is $5,000. How long does he have to keep the money in this account in order to have a balance of $5,500? Round to the nearest tenth of a year.
> A gazebo in the shape of a regular decagon (10 sides) has side length s and apothem a. Express the area of the floor A, algebraically.
> Eduardo owns a co-op. This year his monthly maintenance fee is m dollars. Twenty-seven percent of this fee pays for Eduardo’s property taxes and 11% pays for the mortgage on the entire development. Both of these expenses are tax deductible. Express the a
> Adam is taking out a $197,000 mortgage. His bank offers him an APR of 4.45%. He wants to compare monthly payments on 20- and 30-year mortgages. Find, to the nearest $10, the difference in the monthly payments for these two mortgages.
> Use the spreadsheets from Sections 7-4 and 7-6 to compare the following two situations after an 8-year period. Total amount paid and total amount paid to principal for a $250,000, 18-year monthly rent that has an mortgage with an APR of 3.35% Total
> Joanne and Matt have been approved for a $350,000, 15-year mortgage with an APR of 4.25%. Using the mortgage and interest formulas, set up a 2-month amortization table with the following headings and complete the table for the first 2 months. Paymen
> Ricky took out a $268,000, 30-year mortgage at an APR of 4.34%. a. What is the monthly payment to the nearest cent? b. What will be his total interest charges after 30 years, to the nearest thousand dollars?
> Examine the straight line depreciation graph for a car. a. At what price was the car purchased? b. After how many years does the car totally depreciate? c. Write the equation of the straight line depreciation graph shown. value 35,000 time 16
> Fill in the missing entries in this loan amortization table for a $220,000 20-year mortgage with an APR of 2.95%. Towards Payment Number Beginning Balance Monthly Payment Towards Ending Balance Interest Principal 1 $220,000.00 a. $540.83 $673.79 b.
> Elizabeth is moving from a one-bedroom apartment in one city to a similar apartment in another city. She has been quoted a flat fee for the truck rental and has two estimates for wages of the movers she will hire depending on her needs and when she moves
> James rents an apartment with an initial monthly rent of $1,600. He was told that the rent goes up 1.75% each year. Write an exponential function that models this situation to calculate the rent after 15 years. Round the monthly rent to the nearest dolla
> 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
> The square footage and monthly rental price of 15 similar two-bedroom apartments in Martha’s Cove yield the following linear regression equation: y = 1.137x + 598.98, where x represents the square footage of the apartment and y represents the monthly ren
> Ivonne has a gross bimonthly income of $2,900. She pays 16% in federal and state taxes, puts aside 12% of her income to pay off her school loan, and puts 5% of her income aside for savings. She is considering an apartment that will rent for $1,700 per mo
> Harley built a concrete patio in her backyard. It is a free-form shape and she needs to find the area of it for property tax purposes using the Monte Carlo method a. She takes a diagram of the patio and places it inside a 30-foot by 25-foot rectangle. W
> Lexi moved into an apartment in the suburbs and pays $1,975 rent per month. The landlord told her that the rent has increased 3.6% per year on average. Express the rent y as an exponential function of x, the number of years she rents the apartment.
> The Xiomaras have an adjusted gross income of $137,865. They are looking at a new house that would have a monthly mortgage payment of $1,687. Their annual property taxes would be $7,550 and their semi-annual homeowner’s premium would be $835. a. Find th
> Katherine and Alex had an adjusted gross income of g dollars. Katherine just got a $2,000 raise. They are considering moving to a new house with monthly mortgage payment m dollars, semiannual property taxes s dollars, and quarterly homeowner’s premium q
> Vince purchased a used car for $11,200. This make and model used car straight line depreciates to zero after 7 years. a. Identify the coordinates of the x- and y-intercepts for the depreciation equation. b. Determine the slope of the depreciation equat
> 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
