[SOLVED] Use the One-to-One Property and

> 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

> 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 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 taxpayerâs 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 coupleâs 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 weekâs 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

> 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 Rorieâs 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

> 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. De

> 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: âVacation Savings,â âStudent Loan Savings,â and âTaxes Savings.â 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?

Question: Use the One-to-One Property and

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