Question: Suppose two quantities, A and B, have

> In the chapter opener, we mentioned Toyota’s decision to invest $13 billion to increase production at five U.S. plants. Toyota apparently felt that it would be better able to compete and create value with U.S-based facilities. Other companies such as Fuj

> Given that Zoom was up by about 250 percent for in the first half of 2020, why didn’t all investors hold this stock?

> A carpet is to be installed in a room of length 9.72 m and width 5.3 m. Find the area of the room retaining the proper number of significant figures.

> For an angle θ measured from the positive x- axis, the values of sin θ and cos θ are always (choose one): (a) greater than +1 (b) less than -1 (c) greater than -1 and less than 1 (d) greater than or equal to -1 and less than or equal to 1 (e) less tha

> A rectangular airstrip measures 32.30 m by 210 m, with the width measured more accurately than the length. Find the area, taking into account significant figures.

> Estimate the number of atoms in 1 cm3 of a solid. (Note that the diameter of an atom is about 10-10 m.)

> The magnitudes of two vectors A( and B( are 12 units and 8 units, respectively. What are the largest and smallest possible values for the magnitude of the resultant vector R( = A( + B( ? (a) 14.4 and 4 (b) 12 and 8 (c) 20 and 4 (d) none of these.

> Which vector has an angle with respect to the positive x- axis that is in the range of the inverse tangent function?

> Newton’s law of universal gravitation is represented by F = G Mm/r2 where F is the gravitational force, M and m are masses, and r is a length. Force has the SI units kg · m/s2. What are the SI units of the proportionality constant G?

> Figure 1.19 shows two vectors lying in the xy- plane. Determine the signs of the x- and y- components of A( , B(, and A( + B(. Figure 1.19

> Kinetic energy KE (Topic 5) has dimensions kg · m2/s2. It can be written in terms of the momentum p (Topic 6) and mass m as KE = p2/2m (a) Determine the proper units for momentum using dimensional analysis. (b) Refer to Problem 5. Given the units of for

> Each of the following equations was given by a student during an examination: (a) (b) υ = υ o + at2 (c) ma = υ 2 Do a dimensional analysis of each equation and explain why the equation can’t be corr

> (a) Suppose the displacement of an object is related to time according to the expression x  Bt2 What are the dimensions of B? (b) A displacement is related to time as x = A sin (2ft), where A and f are constants. Find the dimensions of A. Hint: A tri

> Carry out the following arithmetic operations: (a) the sum of the measured values 756, 37.2, 0.83, and 2.5 (b) the product 0.003 2 x 356.3 (c) the product 5.620 x π.

> The radius of a circle is measured to be (10.5 ± 0.2) m. Calculate (a) the area and (b) the circumference of the circle, and give the uncertainty in each value.

> The speed of light is now defined to be 2.997 924 58 x 108 m/s. Express the speed of light to (a) Three significant figures, (b) Five significant figures, and (c) Seven significant figures.

> Use your calculator to determine (√8)3 to three significant figures in two ways: (a) Find √8 to four significant figures; then cube this number and round to three significant figures. (b) Find √8 to three significant figures; then cube this number and

> Use the rules for significant figures to find the answer to the addition problem 21.4 + 15 + 17.17 + 4.003.

> A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is crawling on an adjacent wall at a point having coordinates (2.0, 1.0), where the units are meters, what is the distance of the fly from the corner of the

> An object with a mass of 1 kg weighs approximately 2 lb. Use this information to estimate the mass of the following objects: (a) a baseball (b) your physics textbook (c) a pickup truck.

> A point is located in a polar coordinate system by the coordinates r = 2.5 m and θ = 35°. Find the x- and y- coordinates of this point, assuming that the two coordinate systems have the same origin.

> A study from the National Institutes of Health states that the human body contains trillions of microorganisms that make up 1% to 3% of the body’s mass. Use this information to estimate the average mass of the body’s approximately 100 trillion microorgan

> An automobile tire is rated to last for 50000 miles. Estimate the number of revolutions the tire will make in its lifetime.

> Treat a cell in a human as a sphere of radius 1.0 mm. (a) Determine the volume of a cell. (b) Estimate the volume of your body. (c) Estimate the number of cells in your body.

> The habitable part of Earth’s surface has been estimated to cover 60 trillion square meters. Estimate the percent of this area occupied by humans if Earth’s current population stood packed together as people do in a crowded elevator.

> Estimate the number of people in the world who are suffering from the common cold on any given day. (Answers may vary. Remember that a person suffers from a cold for about a week.)

> Estimate the number of breaths taken by a human being during an average lifetime.

> Estimate the number of steps you would have to take to walk a distance equal to the circumference of the Earth.

> A quart container of ice cream is to be made in the form of a cube. What should be the length of a side, in centimeters? (Use the conversion 1 gallon 5 3.786 liter.)

> The base of a pyramid covers an area of 13.0 acres (1 acre 43560 ft2) and has a height of 481 ft (Fig. P1.30). If the volume of a pyramid is given by the expression V = bh/3, where b is the area of the base and h is the height, find the volume of this py

> A shape that covers an area A and has a uniform height h has a volume V = Ah. (a) Show that V = Ah is dimensionally correct. (b) Show that the volumes of a cylinder and of a rectangular box can be written in the form V = Ah, identifying A in each case.

> The amount of water in reservoirs is often measured in acre-ft. One acre-ft is a volume that covers an area of one acre to a depth of one foot. An acre is 43560 ft2. Find the volume in SI units of a reservoir containing 25.0 acre-ft of water.

> A house is 50.0 ft long and 26 ft wide and has 8.0-ft-high ceilings. What is the volume of the interior of the house in cubic meters and in cubic centimeters?

> The speed of light is about 3.00 x 108 m/s. Convert this figure to miles per hour.

> Suppose your hair grows at the rate of 1/32 inch per day. Find the rate at which it grows in nanometers per second. Because the distance between atoms in a molecule is on the order of 0.1 nm, your answer suggests how rapidly atoms are assembled in this p

> The diameter of a sphere is measured to be 5.36 in. Find (a) The radius of the sphere in centimeters (b) The surface area of the sphere in square centimeters, and (c) The volume of the sphere in cubic centimeters.

> A certain car has a fuel efficiency of 25.0 miles per gallon (mi/gal). Express this efficiency in kilometers per liter (km/L).

> A car is traveling at a speed of 38.0 m/s on an interstate highway where the speed limit is 75.0 mi/h. Is the driver exceeding the speed limit? Justify your answer.

> Find the height or length of these natural wonders in kilometers, meters, and centimeters: (a) The longest cave system in the world is the Mammoth Cave system in Central Kentucky, with a mapped length of 348 miles. (b) In the United States, the waterfall

> A firkin is an old British unit of volume equal to 9 gallons. How many cubic meters are there in 6.00 firkins?

> A small turtle moves at a speed of 186 furlongs per fortnight. Find the speed of the turtle in centimeters per second. Note that 1 furlong = 220 yards and 1 fortnight = 14 days.

> What types of natural phenomena could serve as time standards?

> A fathom is a unit of length, usually reserved for measuring the depth of water. A fathom is approximately 6ft in length. Take the distance from Earth to the Moon to be 250,000 miles and use the given approximation to find the distance in fathoms.

> A house is advertised as having 1420 square feet under roof. What is the area of this house in square meters?

> The Roman cubitus is an ancient unit of measure equivalent to about 0.445 m. Convert the 2.00-m height of a basketball forward to cubiti.

> Under what circumstances would a vector have components that are equal in magnitude?

> The edges of a shoebox are measured to be 11.4 cm, 17.8 cm, and 29 cm. Determine the volume of the box retaining the proper number of significant figures in your answer.

> Two different measuring devices are used by students to measure the length of a metal rod. Students using the first device report its length as 0.5 m, while those using the second report 0.502 m. Can both answers be correct (choose one)? (a) Yes, because

> A rectangle has a length of (2.0 ± 0.2) m and a width of (1.5 ± 0.1) m. Calculate (a) the area and (b) the perimeter of the rectangle and give the uncertainty in each value.

> How many significant figures are there in (a) 78.9 ± 0.2 (b) 3.788 x 109 (c) 2.46 x 1026 (d) 0.003 2

> List some advantages of the metric system of units over most other systems of units.

> The period of a simple pendulum, defined as the time necessary for one complete oscillation, is measured in time units and is given by where â„“ is the length of the pendulum and g is the acceleration due to gravity, in units of length

> Jake has a Schedule C (that reports on the cash basis of accounting) with the following assets: Jake contributes these assets to form AJ Partnership and receives a 50% interest. His basis in the partnership interest is: a. $0. b. $99,500. c. $159,500.

> Billy contributes land with an FMV of $7,000 and a basis of $3,000 to ABCD Partnership in return for a 5% partnership interest in the partnership. ABCD’s basis in the land: a. Is $0. b. Is $3,000. c. Is $7,000. d. Cannot be determined.

> Billy contributes land with an FMV of $7,000 and a basis of $3,000 to ABCD Partnership in return for a 5% partnership interest in the partnership. Billy’s basis in the partnership: a. Is $0. b. Is $3,000. c. Is $7,000. d. Cannot be determined.

> Carmin performs services in exchange for a 25% interest in Real Estate Rental Partnership. The services were worth $15,000. The tax implications to Carmin are: a. No taxable income and a partnership interest with a basis of $0. b. No taxable income and

> After computing all tax preferences and AMT adjustments, Phillip and his wife Carmin have AMTI of $1,210,000. If Phillip and Carmin file a joint tax return, what exemption amount can they claim for AMT for 2019? a. $0. b. $71,700. c. $64,350. d. $111,70

> Paul reported the following itemized deductions on his 2019 tax return. His AGI for 2019 was $65,000. The mortgage interest is all qualified mortgage interest to purchase his personal residence. For AMT, compute his total adjustment for itemized deductio

> Which of the following statements is correct with regard to the medical expense deduction? a. Medical expenses are not deductible for AMT. b. The medical expense deduction is decreased for AMT. c. The medical expense deduction is increased for AMT. d. T

> Which of the following itemized deductions is not allowed for AMT? a. Medical expenses. b. Taxes. c. Charitable contributions. d. Interest on loan to purchase principal residence.

> Jacob is single with no dependents. During 2019 he has $48,000 of taxable income. He also has $28,000 of positive AMT adjustments and $12,000 of tax preferences. Jacob does not itemize his deductions but takes the standard deduction. Calculate his AMTI.

> Raymond sells his entire interest in a rental property in which he actively participated at a gain of $18,000. The activity has a current year loss of $5,500 and $18,500 in prior-year suspended losses. During the year, Raymond has $55,000 in salary. What

> How do the time and distance factors for qualifying moving expenses come into play for 2019?

> Basil has $130,000 AGI (before any rental loss). He also owns several rental properties in which he actively participates. The rental properties produced a $30,000 loss in the current year. How much, if any, of the rental loss can Basil deduct in the cur

> Nathaniel has AGI (before any rental loss) of $65,000. He also owns several rental properties in which he actively participates. The rental properties produced a $30,000 loss in the current year. Nathaniel also has $5,000 of income from a limited partner

> Samuel is a CPA and earns $150,000 from his practice in the current year. He also has an ownership interest in three passive activities. Assume he is sufficiently at risk in each of the three partnerships. In the current tax year, the activities had the

> Janel owns five small businesses, each of which has its own manager and employees. Janel spends the following number of hours this year working in the various businesses: Business A, 130 hours; Business B, 160 hours; Business C, 110 hours; Business D, 12

> Sylvester, an accountant, owns a mail-order business in which he participates. He has one employee who works part time in the business. Which of the following statements is not correct? a. If Sylvester participates for 600 hours and the employee partici

> Which of the following would be considered a passive activity? a. A limited partnership interest. b. Most rental real estate activities. c. A trade or business in which the taxpayer does not materially participate. d. All of the above.

> Agnes and Aunt Sue each invested $140,000 cash in the A&S Partnership, and each received a 50% interest in the partnership. To finance her investment in the partnership, Agnes borrowed $60,000 on a full recourse basis from her partner, Aunt Sue. Which of

> Bryce owns 200 shares of Basic Company stock that he purchased for $8,000 three years ago. On December 28, 2019, Bryce sold 100 shares of the stock for $2,500. On January 3, 2020, Bryce repurchased 50 shares for $1,100. How much of the loss can Bryce ded

> On June 1, 2019, Nigel sells land (basis $55,000) to his son Ted for $40,000, the land’s FMV on the date of the sale. On September 21, 2019, Ted sells the land to an unrelated party. Which of the following statements is correct? a. If Ted sells the land

> All of the following relationships are considered related parties except a. A corporation and a taxpayer whose spouse owns 80% of the corporation’s stock. b. A trust and a taxpayer who is the grantor of the trust. c. A corporation and a taxpayer who ow

> Explain who qualifies for the deductibility of moving expenses in 2019.

> Daniel, who is single, purchased a house on May 15, 1996, for $115,000. During the years he owned the house, he installed a swimming pool at a cost of $24,000 and replaced the driveway at a cost of $12,000. On April 28, 2019, Daniel sold the house for $4

> Marcus purchased Vinnie and Marie’s personal residence for $225,000 cash and the assumption of their $100,000 mortgage. Vinnie and Marie bought the house six years ago for $275,000 and have used it as a primary residence. What amount of gain should Vinni

> A taxpayer who sells her personal residence in 2019 may exclude some or all of the gain on the sale if the residence was owned and lived in for a. At least four years before the sale date. b. Any two years of a five-year period before the sale. c. Any

> Which of the following statements is correct with regard to installment sales? a. The contract price is generally the amount of cash the seller will receive. b. Sales by a taxpayer who is a dealer in the item sold are not eligible for installment sale t

> On July 1, 2019, Andrea sold land held for investment to Taylor. Andrea’s land had a $300,000 basis and was subject to a $150,000 mortgage. Under the contractual agreement, Taylor will pay Andrea $85,000 on the date of the sale, will assume the mortgage,

> On June 15, 2019, Allen sold land held for investment to Stan for $50,000 and an installment note of $250,000 payable in five equal annual installments beginning on June 15, 2020, plus interest at 10%. Allen’s basis in the land is $150,000. What amount o

> Kyla owns a convenience store with an adjusted basis of $215,000 that was destroyed by a flood on August 15, 2019. Kyla received a check for $275,000 from her insurance company on January 10, 2020, compensating her for the damage to her store. What is th

> A warehouse with an adjusted basis of $250,000 was destroyed by a tornado on April 15, 2019. On June 15, 2019, the insurance company paid the owner $395,000. The owner reinvested $470,000 in a new warehouse. What is the basis of the new warehouse if nonr

> A warehouse with an adjusted basis of $125,000 was destroyed by a tornado on April 15, 2019. On June 15, 2019, the insurance company paid the owner $195,000. The owner reinvested $170,000 in another warehouse. What is the basis of the new warehouse if no

> In order to build a new road, the city of Oxford annexed 20 acres of Michael’s farmland with an FMV of $30,000 and basis of $18,000. In return, Michael received 50 acres of similar land, which was appraised at $45,000. In this involuntary conversion, wha

> In 2015, Chara incurred a loan to pay for qualified higher education expenses for her 20-year old daughter who was a dependent. In 2019, her granddaughter graduated from college, moved away to start a new job, and ceased to be a dependent on Chara’s tax

> What tax form is completed to elect deferral of gain on an involuntary conversion? a. No form is required. b. Form 4797. c. Form 4562. d. Form 1040, Schedule D.

> Gretel exchanges a warehouse with an adjusted basis of $150,000 and an FMV of $160,000 for a mini-storage building with an FMV of $100,000 and $60,000 cash. What are the recognized gain or loss and the basis of the mini-storage building? a. $0 gain and

> Jason exchanged land for another lot of land. The old land had an adjusted basis of $14,000, and the new land had an FMV of $22,000. Jason also paid $5,000 cash in the exchange. What are the recognized gain or loss and the basis of the land? a. $0 and

> Janel exchanges a building she uses in her rental business for a building owned by Russel that she will use in her rental business. The adjusted basis of Janel’s building is $160,000, and the FMV is $250,000. The adjusted basis of Russel’s building is $8

> Ava exchanges a land used in her business with Gail for another parcel of land. The basis of Ava’s old land is $50,000, the FMV is $66,000, and she gives Gail cash of $14,000. Gail’s basis in her land is $70,000, and the FMV is $80,000. What is Ava’s adj

> Terrance is age 71 and retired. Beginning in 2019, he must start taking minimum distributions from his IRA account that had a balance of $150,000 as of December 31, 2018. Make these three assumptions: His IRA will earn 8% per year, he will withdraw the m

> For the asset received in a like-kind exchange, how is the holding period of the new asset determined? a. According to the date the new asset is received. b. According to the date the old asset is given away. c. According to the holding period of the ol

> For an exchange to qualify as a nontaxable exchange, what criteria must be present? a. There must be an exchange. b. The property transferred and received must be real property held for use in a trade or business or for investment. c. The property excha

> Juanita, age 62, retired in 2019. During the year, she received distributions of $9,000 from her IRA. She made nondeductible contributions of $20,000 to the IRA in prior years and has never received a nontaxable distribution. As of December 31, 2019, the

> Mark, who is single, must start making distributions from his pension plan beginning April 1, 2019. At the end of 2018, when Mark was 71 years old, the plan had a balance of $220,000. He will use a single life expectancy. What amount must Mark take as a

> How does a change of duty station to a foreign location change the deduction of allowable moving expenses for a service member?

> Juan is single and retired on January 1, 2019, at age 62. He is entitled to receive monthly payments of $1,500 over his life from his employer’s qualified pension plan. The payments began January 1, 2019. He contributed $71,500 to the plan prior to his r

> Ellen is attending college less than half time. In the current year, she had education-related expenses of $8,000 for tuition and fees, $4,000 for room and board, $500 in transportation to and from her parent’s house, and $1,000 for required books. What

> Which of the following statements is true for a Qualified Tuition Plan (QTP)? a. Undergraduate or graduate students must be attending full time. b. Tax-free distributions are permitted of up to $10,000 per year for tuition and room and board at K–12 sch

> Vanessa and Martin file a joint return for 2019. They have one child, age 12. They have combined AGI of $202,000. What is their maximum permitted contribution to a Coverdell Education Savings Account for 2019? a. $0. b. $800. c. $1,200. d. $2,000.