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mathematics
linear algebra

Questions and Answers of Linear Algebra

Darcelle teaches skiing at the Snow School. Jack runs a ski shop called Up Hill, Down Hill. Their combined bank interest is $1,000. If they get a refund, they would like the money deposited into
Complete a 1040A form for Kevin Hooper. Kevin is a butcher. He is single with two children, which he can claim as dependents. He also takes care of his dad, who lives with his family. Use the
Winnie Johnston is a teacher who files her taxes as a Head of Household and takes care of her mother and her grandmother, both of whom live with her. Her W-2 form is shown and she also has $65 in
Kate is filling out her income tax return. Her tax for last year is $973. Her employer withheld $712 in federal taxes. a. Does Kate get a refund or does she owe the government money? b. What is the
Dale's employer withheld $9,873.33 in federal taxes last year. His tax is $8,792.75. a. Does Dale get a refund or does he owe the government money? b. What is the difference between Dale's tax and
Katrina is single with a taxable income for last year of $75,431. Her employer withheld $14,870 in federal taxes. a. Use the tax table from Example 2 in Lesson 7-4 to determine Katrina's tax. b. Does
Oscar is single with a taxable income for last year of $75,555. His employer withheld $16,381 in federal taxes. a. Use the tax table from Example 2 in Lesson 7-4 to determine Oscar's tax. b. Does
Tony is paying off a car loan. The monthly payment is $211.28. He is hoping to receive an income tax refund that is large enough to make one monthly payment. His tax is $1,722 and his employer
For each of the following questions, complete the form indicated to find the adjusted gross income, taxable income, tax due, and amount of refund or amount owed. Round all answers to the nearest
How can the quote be interpreted in light of what you have learned? Discuss briefly.
Round all monetary answers to the nearest dollar. Use the tax tables in the Appendix or the appropriate schedule based on filing status. Chiara had $5,700 in medical expenses last year. Her medical
Maria and Don had $20,800 in medical expenses. Their family medical insurance covered 60% of these expense. The IRS allows medical and dental expense dedications for the amount that exceeds 7.5% of a
Jonathan is a single taxpayer. His total income before deductions was $63,110. He was able to reduce his total income by $10,312 when he filled out Schedule A. How much did he save in tax by using
Vito is single. His total income before deductions was $147,760. He was able to reduce his total income by $14,198 when he filled out Schedule A. how much did he save in tax by using Schedule A?
Mr. and Mrs. Delta are filling a joint tax return. Together they had an income of $100,830 last year. Their total deductions were $16,848. a. What was Mr. and Mrs. Delta's taxable income? b. What is
Complete this chart.
For each family, complete a form 1040, Schedule A, and Schedule B to find total itemized deductions, interest and ordinary dividends, adjusted gross income, taxable income, tax due, and amount of
Mike and Julianne Heedles both work. Julianne is a part-time environmental lawyer whose W-2 provided the following information.Wages, tips, other compensation: $51,122.00Social Security wages:
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
For each exercise, complete the indicated forms to find adjusted gross income, taxable income, tax due, and amount of refund or amount owed. If appropriate, find the total itemized deductions, and
Von is a single taxpayer. His wages for the year are $66,200. The amount withheld for federal taxes was $9,930. His bank interest is $1,200. Fill in his 1040EZ from?
Connor and Samantha Lamberti are married with three children. Their total wages for the year were $90,114. The total amount withheld from their paychecks for federal taxes was $7,209.12. They
The Lerners had x dollars in medical expenses. Medical insurance covered 80% of these expenses, so they had to pay 20% of the medical bills. The IRS allows medical and dental expenses deductions for
Determine the tax for each filing status and taxable income amount listed using the tax tables in the Appendix.a. Single $97,642b. Head of household $95,100c. Married filing jointly $99,999d. Married
Use the table to answer the questions below.Schedule Y-1- If your filing status is Married filing jointly or Qualifying widow(er)a. What is the tax for taxpayers filing jointly with a combined
Write a piecewise function to represent the tax y for the taxable income interval in the schedule below for a taxpayer whose filling status is married filling separately?
Identify the error(s) on Rorie's W-2 from below.
How can the quote the interpreted in light of what you have learned?
a. Determine the correlation coefficient and linear regression equation that expresses the square footage as a function of the monthly rent. Round the numbers in the equation to the nearest
Application Fee: 1.5% of one month's rentCredit Application Fee: $10Security Deposit: 1 month's rentLast month's rentBroker's Fee: 9% of one year's rentDave wants to rent a two-bedroom apartment in
The square footage and monthly rental of 10 similar one-bedroom apartments yield the linear regression y = 0.775x + 950.25, where x represents the square footage of the apartment and y represents the
The square footage and monthly rental of 10 similar two-bedroom apartments yield the linear regression formula y = 1.165x + 615.23 where x represents the square footage of the apartment and y
$85 per hour for loading/unloading service $70 per hour for packing/unpacking service $5 per mile for truck rental We Move U charges for moving according to the rate schedule shown. Nicky is moving a
L dollars per hour for loading and loading service P dollars per hour for packing and unpacking service M dollars per mile for truck rental Van4Hire charges for moving according to this rate
Use the interval 25% - 30% to find the monetary range that is recommended for the monthly housing budget in each situation. Round to the nearest dollar.a. Mark makes $86,000 per year.b. Mark makes
Abe makes $18.50 per hour. He works 37 hours a week. He pays 23% of his gross earnings in federal and state taxes and saves 5% of his monthly gross income. He is considering renting an apartment that
Rachel is considering moving into a one-bedroom apartment in Glen Gardens. The apartment has a monthly rent of $1,300. Here are the fees that she has been quoted. How much is she expected to pay up
Milena has a gross biweekly income of $2,200. She pays 18% in federal and state taxes, puts aside 10% of her income to pay off her school loan, and puts 5% of her income aside for savings. She is
A moving helper company gave Mike these two quotes. Use a system of equations to determine the hourly rates for loading/unloading and packing / unpacking?3 hours of loading/unloading 2 hours of
Jaden received these two estimates from a moving company. Write and solve a system of equations to determine the hourly loading/unloading fee and the mileage charge for the truck rental?
Ann obtained this list of apartments.a. Use linear regression analysis to determine if there is a correlation between the square footage and the monthly rent.b. Determine the regression equation.
A rectangular room measures 13 feet by 15 feet. It is going to be carpeted with carpeting that sells for $68 per square yard.a. What is the area of the room in square feet?b. If the room is drawn to
A rectangular room has length L and width W, where L and W are measured in feet. a. Express the area in square feet algebraically.b. If carpeting costs x dollars per square yard, express the cost of
A rectangular room is 14 feet by 20 feet. The ceiling is 8 feet high.a. Find the length and width of the smaller wall. b. Find the area of the smaller wall.c. Find the area of the larger wall.d. Find
A gazebo in the shape of a regular octagon has equal sides of 9 feet and an apothem of 10.9 feet.a. If one side of a gazebo is open, and the other sides have a railing, find the cost of the railing
A rectangular room measures x feet by y feet, where x < y. The ceiling is c feet high. The walls and the ceiling will be painted the same color.a. Express the area of the smaller wall and the
Giuliana is having one wall of her den covered in brick. She needs to find the area of the wall, excluding the doors and the windows. A diagram of the room is shown.a. Giuliana creates a scale
Elizabeth is a landscape designer. She created a small pond with a fountain that her company plans to manufacture and market. It is a free-form shape and the company wants to include the area of the
Interpret the quote in the contest of your own home?
Allison has a mortgage with, North End Bank. The bank requires that she pay her homeowner's insurance, property taxes, and mortgage in one monthly payment. Her monthly mortgage payment is $1,390, her
Mike and Cheryl and an adjusted gross income of a dollars. Mike just got a $3K raise and Cheryl got a $1.5K raise. They are considering moving to a new house with monthly mortgage payments of m
The Ungers have an adjusted gross income of $117,445. They are looking at a new house that would carry a monthly mortgage payment of $1,877. Their annual property taxes would be $6,780, and their
Andy is single father who wants to purchase a home. His adjusted gross income for the year is a dollars. His monthly mortgage is m dollars, and his annual property tax bill is p dollars. His monthly
Find the monthly payment (before the balloon payment) for a 20 year, interest only balloon mortgage for $275,000 at an APR of 8%. Round to the nearest ten dollars?
Siegell's Locksmith Shop is taking out a mortgage on a new building. It is going to be an interest-only, 12-year balloon mortgage for $350,000. The APR is 7.1%. The last payment will be the balloon
Using the table from Example 2, find the assessed value of the house in this classified ad?
Mark and Beth are looking at four different homes. They created this spreadsheet to estimate escrow calculations more easily. They will pay the property tax and homeowner's insurance each month with
If you borrow $120,000 at an APR of 7% for 25 years, you will pay $848.13 per month. If you borrow the same amount at the same APR for 30 years, you will pay $798.36 per month.a. What is the total
United Bank offers a 15 year mortgage at an APR of 6.2%. Capitol Bank offers a 25 year mortgage at an APR of 6.5%. Marcy wants to borrow $120,000.a. What would the monthly payment be from United
The market value of Christine and Gene's home is $275,000. The assessed value is $230,000. The annul property tax rate is $17.50 per $1,000 assessed value.a. What is the property tax on their home?b.
Jim is taking out a $135,000 mortgage. His bank offers him an APR of 6.25%. He wants to compare monthly payments on a 20 and a 30 year loan. Find, to the nearest dollar, the difference in the monthly
Explain how the quote can be interpreted?
Use a spreadsheet to generate the last year of payments in a loan amortization table for a $600,000, 15-year mortgage with an APR of 5.5%?
Shannon took out a $300,000, 15-year mortgage with an APR of 7%. The first month she made an extra payment of $400. What was her ending balance at the end of that first month?
Examine the loan amortization table for the last 5 months of a $500,000, 15-year mortgage with an APR of 5.75%. Determine the missing table amounts.
Examine the loan amortization table for a $210,000, 15 year mortgage with an APR of 6%. The borrower paid an extra $100 each month towards the principal. Determine the missing amounts.
Examine this portion of an amortization table for an adjustable rate mortgage that had a 1 year initial rate period of 4.25% and increased to 5.25% after that period ended. Determine the missing
Tom took out a $440,000 15-year adjustable rate mortgage with a 4% initial 6-month rate. The amortization table for the initial rate period is shown. After the first 6 months, the rate went up to 5%.
Del is buying a $250,000 home. He has been approved for a 5.75% mortgage. He was required to make a 15% down payment and will be closing on the house on July 15. How much should he expect to pay in
Bonnie is purchasing an apartment for $180,000. She has been approved for a 6% mortgage. She put 10% down and will be closing on April 22. How much should she expect to pay in prepaid interest?
This spreadsheet can be used to calculate the amount of prepaid interest a buyer will need to pay at the closing. Write formulas for cells B9, B10, and B11.
Celine and Don have been approved for a $400,000, 20 year mortgage with an APR of 6.55%. Using the mortgage and interest formulas, set up a two amortization table with the headings shown and complete
Rob has been approved for a $275,000, 15-year mortgage with an APR of 5.9%. Using the mortgage and interest formulas, set up a table with the above headings and complete the table for the first two
Use a spreadsheet to generate the first year of payments in a loan amortization table for a $200,000, 10-year mortgage with an APR of 7%?
What does this quote mean to you?
Andrew and Meghan moved into an apartment in the city and pay $2,700 rent per month. The landlord told them the rent has increased 11.1% per year on average. a. Express the rent y as an exponential
Maria borrowed $120,000 from a bank when she bought her co-op for $156,000. The price dropped x dollars since she bought it. She now owes the bank $114,000, which is more than she could sell the
The monthly rent for a one-bedroom apartment at North Shore Towers for six consecutive years is shown in the table.a. Represent the years using the numbers 5, 6, 7, 8, 9, and 10 respectively. Draw a
The Tensers bought a mobile home for $89,500. They rent space in a trailer park for $900 per month. The rent increases 2% per year. a. If they put a down payment of $10,000 on the trailer, how much
Joe wants to rent an apartment with an initial monthly rent of $1,400. He has been told what the landlord raises the rent 1.25% each year. Set up an exponential function that models this situation.
Use spreadsheets to compare these situations after 5 years. Total paid and total paid to the principal for a $250,000, 20-year mortgage with a 5.75% APR Total amount paid for a $2,100 monthly rent
Use spreadsheets to compare these situations after 10 years. Total paid and total paid to the principal for a $300,000. 15 year mortgage with a 6.5% APR Total amount paid for a $2,600 monthly rent
Linda wants to purchase a Leisure Heights condominium apartment. She will borrow $100,000 from the Duchess Savings Bank. The bank is presently offering a 30 year fixed rate mortgage with an APR of
The Basil family has a summer co-op apartment on a beach and pays a monthly mortgage payment of $1,120 and a monthly maintenance fee of $800. The Basils get approval from the co-op board of directors
Helene and Vick moved into an apartment and pay $1,875 rent per month. The landlord told them that the rent has increased 3.28% per year on average. Express the rent y as an exponential function of
A rectangular room measures 18 feet by 25 feet. It is going to be carpeted 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
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
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
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
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. a. She takes a diagram of the patio and places it inside a 30-ft
Ivana Chase 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
The square footage and monthly rental of 15 similar two-bedroom apartments in Martha's Cove yield the following linear regression formula: y = 1.137x + 598.98 where x represents the square footage of
Johnny took out a $500,000 30 year mortgage with an APR of 6.95%. The first month he made an extra payment of $1,000. What was his balance at the end of the first month?
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
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
Fill in the missing entries in this loan amortization table for a $220,000 20 year mortgage with an APR of 5.95%.
Ricky took out a $268,000, 30-year mortgage at an APR of 6.34%. 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
Joanne and Matt have been approved for a $350,000, 15-year mort- gage with an APR of 6.25%. Using the mortgage and interest formulas, set up a two-month amortization table with the following headings
Use the spreadsheets from Lessons 8-4 and 8-5 to compare the following two situations after an 8-year period.
Use the spreadsheet from Lesson 8 - 4 and 8 - 5 to compare the following two situations after a 7 - year period.

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