Dataset Viewer
id
string | problem
string | answer
string | answer_type
string | category
string | difficulty
string | eval_score
int64 |
|---|---|---|---|---|---|---|
878932
|
A parent company must own how much of the subsidiary's common stock?
a. 0.15
b. 0.25
C. 0.75
d. 0.5
|
D
|
Multiple Choice
|
Business
|
University
| 3 |
1966742
|
Gulf Shores Inn is comparing two separate capital structures. The first structure consists of 315,000 shares of stock and no debt. The second structure consists of 270,000 shares of stock and $1.90 million of debt. What is the price per share of equity?
|
$42.22
|
Float
|
Business
|
University
| 3 |
203831
|
Which of the following is not a break-even point of a project?
a. The maximum interest rate that a firm can pay from available cash flow and still have enough cash flow to make all required principal and interest payments
b. The price level of a call option that equals the sum of the exercise price plus the premium paid on the option
c. The price level at which income equals expense
d. The market price of a financial instrument that equals the purchase price plus the costs of owning that instrument
e. The expense level at which the expense equals income
|
a
|
Multiple Choice
|
Business
|
University
| 3 |
1376979
|
The current price of a stock is $34, and the annual risk-free rate is 3%. A call option with a strike price of $31 and 1 year until expiration has a current value of $4.70. What is the value of a put option written on the stock with the same exercise price and expiration date as the call option? Round the answer to the nearest cent.
|
$0.80
|
Float
|
Finance
|
University
| 3 |
176579
|
Kane Industries disclosed the following minimum rental commitments under non-cancelable operating leases in its 2014 annual report:
Minimum operating lease payments Amount (in millions)
2015 $74
2016 48
2017 35
2018 27
2019 22
Thereafter 19
Total $225
What is the present value of these operating lease payments, assuming a 6% discount rate?
A) $193 million
B) $179 million
C) $ 70 million
D) $225 million
E) None of the above, the present value is actually:
|
A
|
Multiple Choice
|
Finance
|
University
| 3 |
1861142
|
Income generated by a nation's domestic production
(a) is less than its domestic production.
(b) is equal to its domestic production.
(c) is greater than its domestic production.
(d) could be less than, equal to, or greater than its domestic production.
|
d
|
Multiple Choice
|
Economics
|
University
| 3 |
631334
|
For a given $n \in \Bbb N$, how do you find the minimum $m \in \Bbb N$ which satisfies the inequality: $$3^{3^{3^{3^{\unicode{x22F0}^{3}}}}} (m \text{ times}) > 9^{9^{9^{9^{\unicode{x22F0}^{9}}}}} (n \text{ times})$$
|
m = n+1
|
Integer
|
Mathematics
|
University
| 3 |
1157567
|
Copper crystallizes in a face-centered cubic lattice (the Cu atoms are at the lattice points and at the face centers). If the density of the metal is 8.96 g/cm{eq}^3
{/eq}, what is the unit cell edge length in picometers, pm?
|
361 pm
|
Integer
|
Chemistry
|
University
| 3 |
1295423
|
A mobile operator company has to deal with 12 site down issues per hour. What is the probability that it will have to solve at least 4 site down issues within the next 10 minutes?
|
0.1429
|
Float
|
Mathematics
|
University
| 3 |
272995
|
Suppose {eq}\int_T\bigtriangledown \varphi \,\cdot\,\textrm{d}\vec s=1
{/eq} where T is the path from P=(-2,1) to Q=(2,1) along the top half of the ellipse {eq}3x^2+11y^2=23
{/eq}. Determine the value of {eq}\int_B\bigtriangledown \varphi \,\cdot\,\textrm{d}\vec s=1
{/eq} where B is the path from P to Q along the bottom half of that ellipse.
|
1
|
Integer
|
Mathematics
|
University
| 3 |
1761730
|
Why is the integral of $\frac{1}{ax+b}\,dx$ equal to $\frac{1}{a}ln|ax+b|$? Specifically, why is there a constant $\frac{1}{a}$ and why is it $ax + b$ in the absolute value brackets instead of $x + \frac{b}{a}$?
|
\frac{1}{a}ln|ax+b|
|
Expression
|
Mathematics
|
University
| 3 |
703946
|
I don't understand the provided information-theoretic solution for finding the one incorrectly filled coffee can out of 12 using a balance scale. Specifically, why are there 24 cases, and why is the initial entropy calculated as $3 + log_2(3)$? I calculated the entropy differently using $H(X) = -\sum_1^n p(x) log_2(p(x))$ and got a different value.
|
3
|
Integer
|
Mathematics
|
University
| 3 |
2052405
|
Suppose you are testing {eq}H_0: \mu = 20{/eq} versus {eq}H_a: \mu < 20{/eq}. If {eq}\bar{x} = 17.8{/eq}, {eq}\sigma = 9{/eq}, and {eq}n = 36{/eq}, what is the z-statistic?
|
-1.47
|
Float
|
Mathematics
|
University
| 3 |
2080833
|
How does one conclude that the residue is $\frac{e^{-t}}{2i}$ without having the Laurent expansion around $i$?
|
\frac{e^{-t}}{2i}
|
Expression
|
Mathematics
|
University
| 3 |
222133
|
Why is $\lim_{n\to\infty}\Big(1+\frac{x}{n}\Big)^n=e^x$ true in a purely logical, mathematical sense, and what does the indeterminate form $1^\infty$ have to do with $e$? Or is this really just the definition of $e$?
|
$e^x$
|
Expression
|
Mathematics
|
University
| 3 |
1978614
|
Find the Taylor Polynomial of Degree 3, centered at {eq}\displaystyle a = \frac{\pi}{2} {/eq} for {eq}\displaystyle f(x) = \cos (4x) {/eq}.
|
T_3(x)=1-8(x-\pi/2)^2
|
Expression
|
Mathematics
|
University
| 3 |
921203
|
Fiscal policy is most effective in increasing income, Y, when
A. money demand, L, is very sensitive to interest rate, i, and the LM curve is flat.
B. the marginal propensity to consume is equal to the marginal propensity to import.
C. Alan Greenspan wears a blue suit.
D. the interest rate is equal to 1.
E. the IS-curve is very flat and the LM-curve is very steep.
|
A
|
Multiple Choice
|
Economics
|
University
| 3 |
1629866
|
(Incremental cash flows and NPV) The Miller Corporation is considering a new product. An outlay of $6 million is required for equipment to produce the new product, and additional net working capital of $500,000 is required to support production and marketing. The equipment will be depreciated on a straight-line basis to a zero book value over eight years. Although the depreciable life is eight years, the project is expected to have a productive life of only six years, and it will have a salvage value of zero at that time (removal cost = scrap value). Revenues minus expenses for the first 2 years of the project will be $5 million per year but, because of competition, revenues minus expenses in years 3 through 6 will be only $3 million. The cost of capital for this project is 16%, and the relevant tax rate is 35%. Compute the NPV of Miller's new product. Possible answers:
A. -$463,321
B. -$231,389
C. -$7,455
D. $92,334
E. $2,158,478
F. $4,159,983
G. $4,857,222
H. $5,387,395
I. $5,943,183
|
F
|
Multiple Choice
|
Business
|
University
| 3 |
1695104
|
Northern Apparel Company owns two stores and management is considering eliminating the South store due to declining sales. Segmented contribution income statements are as follows and common fixed costs are allocated on the basis of sales.
North South Total
Sales $475,000 120,000 $595,000
Variable costs 242,500 69,000 311,500
Direct fixed costs 72,500 35,500 108,000
Segment margin 160,000 15,500 175,500
Allocated fixed costs 104,500 48,000 152,500
Net Income $55,500 ($32,500)$23,000
Northern feels that if they eliminate the South store, sales in the North store will decline by 20%. If they close the South store, overall company net income will:
A. decline by $90,000.
B. decline by $85,625.
C. decline by $62,000.
D. decline by $20,000.
|
C
|
Multiple Choice
|
Business
|
University
| 3 |
1611170
|
The following account balances appear in the 2021 adjusted trial balance of Blue Devils Corporation: Cash, $3,900; Accounts Receivable, $7,900; Supplies, $17,900; Equipment, $109,000; Accumulated Depreciation, $39,500; Accounts Payable, $24,900, Salaries Payable, $14,900; Common Stock, $49,000; and Retained Earnings.
Prepare December 31, 2021, classified balance sheet including the correct balance for retained earnings.
|
$10,400
|
Integer
|
Business
|
University
| 3 |
1553933
|
Mr. Agirich of Aggie Farms is considering the purchase of 100 acres of prime ranch land that is adjacent the ranch he now owns. Mr. Agirich can operate the additional 100 acres with present labor, machinery and breeding livestock. The land is selling for $400 per acre. Mr. Agirich believes that the operating receipts per acre of land per year will be $450 and operating expenses will be $420 in present dollars. Mr. Agirich expects that the inflation rate will be 3% and operating receipts and expenses per acre will increase at the rate of inflation. The farmer will sell the land in three years and he anticipates that land prices will increase at the rate of inflation (from a base price of $400). A bank will loan him $350 per acre of land and the loan will be fully amortized over 15 years at 10% (annual payments). The outstanding balance of the loan will be paid at the end of the third year (balloon payment). Assume that the marginal tax rate is 30% and that Mr. Agirich requires at least a 6% pre-tax, risk-free return on capital and a 4% risk premium on projects of comparable risk. (Do the analysis on a per acre basis.)
What is the Net Present Value?
a. $378.90
b. $42.04
c. $63.14
d. $400
e. None of the above
|
e
|
Multiple Choice
|
Finance
|
University
| 3 |
1989113
|
Use a double Riemann sum with {eq}n = m = 2{/eq} and sample points in the lower right corner to approximate {eq}\iint_{R} (4x + 3y^2) \, \mathrm{d}A{/eq} where {eq}R = [0, 6] \times [0, 4]{/eq}.
|
576
|
Integer
|
Mathematics
|
University
| 3 |
1702965
|
When the exchange rate depreciates in the short run and then appreciates slightly in the long run, it implies that the foreign money supply has:
A. temporarily risen.
B. permanently risen.
C. temporarily fallen.
D. permanently fallen.
|
A
|
Multiple Choice
|
Economics
|
University
| 3 |
327619
|
Amazon.com stock prices gave a realized return of 15%, 12%, -12%, and, -12% over four successive quarters. What is the annual realized return for Amazon.com for the year?
A. -0.26%
B. -0.41%
C. -0.3%
D. 3%
|
A. -0.26%
|
Percentage
|
Finance
|
University
| 3 |
840101
|
If {eq}\displaystyle \int_{1}^{\infty }\frac{x}{x^{2}+1}\ dx=\infty {/eq}, then {eq}\displaystyle \sum_{n=1}^{\infty }\frac{n}{n^{2}+1} {/eq}:
a. converges
b. converges but the sum is unknown
c. is unknown
d. diverges to {eq}\displaystyle \infty {/eq}
|
d
|
Multiple Choice
|
Mathematics
|
University
| 3 |
45293
|
Niobium metal becomes a superconductor when cooled below {eq}9 K
{/eq}. Its superconductivity is destroyed when the surface magnetic field exceeds {eq}0.100 T
{/eq}.In the absence of any external magnetic field, determine the maximum current a {eq}3.92-mm
{/eq}-diameter niobium wire can carry and remain superconducting.
|
980 A
|
Float
|
Physics
|
University
| 3 |
1772930
|
Suppose equilibrium price in the market is $30, and the marginal revenue is $20. What is the price elasticity of demand?
|
3
|
Integer
|
Economics
|
University
| 3 |
987022
|
Point 1 is at {eq}\rm (X_1,Y_1) = (3,4)
{/eq}, and point 2 is at {eq}\rm (X_2,Y_2) = (12,9)
{/eq}. (The coordinates are given in meters.) The electric field is constant with a magnitude of 62.3 V/m and is directed parallel to the +x-axis. The potential at point 1 is 1200.0 V. Calculate the work required to move a negative charge of {eq}\rm Q = -585.0 \ \mu C
{/eq} from point 1 to point 2.
|
0.328 J
|
Float
|
Physics
|
University
| 3 |
606416
|
Consider an asset that costs $882,000 and is depreciated straight-line to zero over its nine-year tax life. The asset is to be used in a six-year project. At the end of the project, the asset can be sold for $135,500. If the relevant tax rate is 40 percent, what is the aftertax cash flow from the sale of this asset?
|
198900
|
Integer
|
Finance
|
University
| 3 |
611152
|
Proof that $\displaystyle\sum_{k=3}^\infty k\left({\displaystyle\frac{5}{6}}\right)^{k-3} =48 $. Is the provided proof correct?
|
48
|
Integer
|
Mathematics
|
University
| 3 |
1466369
|
A company buys a machine for $62,000 that has an expected life of 7 years and no salvage value. The company anticipates a yearly net income of $2,950 after taxes of 34%, with the cash flows to be received evenly throughout each year.
What is the accounting rate of return?
a. 33.31%
b. 9.52%
c. 3.24%
d. 6.28%
e. 4.76%
|
e
|
Multiple Choice
|
Business
|
University
| 3 |
1024088
|
What is the minimum sample size needed in order for you to be 95% confident that your estimate is within 2 of {eq}\mu{/eq}? Use the value 21 for the population standard deviation of scores on this subsection. Carry your intermediate computations to at least three decimal places.
|
424
|
Integer
|
Mathematics
|
University
| 3 |
1853000
|
$$\lim\limits_{x\to0}\frac{\log_{\sin^2x}\cos x}{\log_{\sin^2{\frac x2}}\cos\frac x2}$$
|
4
|
Integer
|
Mathematics
|
University
| 3 |
379794
|
Consider the titration of 50.0 mL of 0.15 M HCN with 0.20 M KOH. Calculate the pH after 45.0 mL of KOH has been added.
|
12.20
|
Float
|
Chemistry
|
University
| 3 |
284393
|
The average grade on a STAT101 test is 87, with a SD of 4. If the instructor gives A's to the highest 15% and the grades follows a normal distribution, what is the lowest grade that will be given A?
|
91
|
Integer
|
Mathematics
|
University
| 3 |
1236987
|
The standard costs and actual costs for direct materials, direct labor, and factory overhead for the manufacturing of 2,500 units of product are as follows:
Standard costs: Direct labor: 7,500 @ $11.80
Actual costs: Direct labor: 7,400 @ $11.40
The amount of the direct labor time variance is:
a. $1,140 unfavorable.
b. $1,140 favorable.
c. $1,180 unfavorable.
d. $1,180 favorable.
|
d
|
Multiple Choice
|
Business
|
University
| 3 |
1087756
|
Compute the line integral {eq}\int_{C} \vec{F} \cdot d \vec{r} {/eq} through elementary means and then verify your result by using Stokes' theorem. {eq}\vec{F}(x,y,z)=x^2 \vec{i}+y^2 \vec{j} +z^2 \vec{k} {/eq} and the surface is the portion of the cone {eq}z=\sqrt{x^2+y^2} {/eq} below the plane z=1.
|
0
|
Integer
|
Mathematics
|
University
| 3 |
192177
|
A firm is considering renting a trailer at $300 per month. The unit is needed for 5 years. The leasing company offers a lump-sum payment of $24,000 at the end of 5 years as an alternative payment plan, but is willing to discount this figure. The firm places a value of 10% (effective annual rate) on invested capital. How large should the discount be in order to be accepted as an equivalent?
a. $750
b. $820
c. $980
d. $1,030
|
D
|
Multiple Choice
|
Finance
|
University
| 3 |
1125312
|
Consider a graph {eq}f(x)= 3 \sin (x) = \int_0^x f(t) dt, find {eq}g'(\pi) {/eq}
|
0
|
Integer
|
Mathematics
|
University
| 3 |
1057385
|
A strong electromagnet produces a uniform magnetic field of {eq}\displaystyle \rm 1.60 \ T
{/eq} over a cross-sectional area of {eq}\displaystyle \rm 0.350 \ m^2
{/eq}. A coil having {eq}\displaystyle \rm 160 \ turns
{/eq} and a total resistance of {eq}\displaystyle \rm 16.0 \ \Omega
{/eq} is placed around the electromagnet. The current in the electromagnet is then smoothly reduced until it reaches zero in {eq}\displaystyle \rm 20.0 \ ms
{/eq}. What is the current induced in the coil?
|
280 A
|
Integer
|
Physics
|
University
| 3 |
11351
|
Hawkeye Harvesters, Inc. is engaged in a contract with the United States Government to supply farm machinery. Hawkeye's required return is 11.2%. Their marginal tax rate is 35%. HHI must have $100,000 in working capital at the start of the project and must add $10,000 to working capital at the start of years 2, 3, 4, and 5. The project will be discontinued after 5 years with no salvage value on any equipment. What is the effect on NPV of net working capital?
A. There is no effect on NPV
B. NPV is reduced by $40,000.
C. NPV is reduced by $48,554.
D. NPV is increased by $140,000.
E. None of the above are within $100 of the correct answer.
Please show work.
|
C
|
Multiple Choice
|
Finance
|
University
| 3 |
1701194
|
If the absolute value of the slope of the demand curve is 0.25, price is $8 per unit, and quantity demanded is 12 units, then demand for this good is:
a. inelastic.
b. unit elastic.
c. perfectly elastic.
d. elastic.
|
a
|
Multiple Choice
|
Economics
|
University
| 3 |
849789
|
Pursuant to a plan of corporate reorganization in a transaction that qualified as a reorganization under Code Section 368(a)(1), Lou received the following in exchange for a share of stock with a $95 basis to Lou:
One share of stock worth $65
Cash of $20
What is Lou's recognized gain or loss (if any) on this exchange?
a. $0
b. $10 loss
c. $10 gain
d. $20 gain
|
a
|
Multiple Choice
|
Law
|
University
| 3 |
1810501
|
Two years from now, a client will receive the first of three annual payments of $20,000 from a small business project. If she can earn 9 percent annually on her investments and plans to retire in six years, how much will the three business project payments be worth at the time of her retirement?
|
$77,894.21
|
Float
|
Business
|
University
| 3 |
611683
|
Boron Refiners had 50,000 gallons started in its process in June. At June 30th, 35,000 gallons were completed and transferred to finished goods and 10,000 gallons were still in process and were one-fourth completed as to materials, labor and overhead. The remaining 5,000 units were lost due to evaporation, a normal result of the process. Costs of production during the month were $75,000 for material; $50,000 for labor; and $25,000 for overhead. What is the cost per equivalent unit in June?
|
$4.00
|
Float
|
Business
|
University
| 3 |
1943837
|
In 2017, Gates Corporation, a computer manufacturer, donated 100 laptop computers to the Forrest Avenue Elementary School in Montgomery. Alabama (a qualified educational organization). The computers were constructed by Gates earlier this year, and the school district allocated the computers among its various academic disciplines where they will be used exclusively for educational purposes. Gates basis in the computers is $70,000, and their fair market value is $130,000. What Is Gates deduction for the contribution of the computers?
a. $70,000.
b. $100,000.
c. $130,000.
|
a
|
Multiple Choice
|
Economics
|
University
| 3 |
615448
|
A charge of 50 nC is uniformly distributed along the y axis from y = 3 m to y = 5 m. What is the magnitude of the electric field at the origin?
|
30 N/C
|
Integer
|
Physics
|
University
| 3 |
905625
|
If the director wishes to estimate the mean number of admissions per 24-hour period to within 1 admission with 99% reliability, what size sample should she choose?
|
166
|
Integer
|
Mathematics
|
University
| 3 |
991791
|
Kirk Furniture Company had net Accounts Receivable of $950,000 at the beginning of the year and $1,025,000 at the end of the year. The net Sales Revenue for 2010 was $6,700,000. What is the days to collect from customers?
a. 68.63 days
b. 53.80 days
c. 55.84 days
d. 51.75 days
|
b
|
Multiple Choice
|
Business
|
University
| 3 |
387697
|
How would the carrying amount of bonds payable be affected by the amortization of the bond premium and bond discount respectively?
a. The amortization of the bond premium has no effect on the carrying amount but the amortization of the bond discount increases the carrying amount.
b. The amortization of the bond premium decreases the carrying amount but the amortization of the bond discount increases the carrying amount.
c. The amortization of the bond premium increases the carrying amount but the amortization of the bond discount decreases the carrying amount.
d. The amortization of the bond premium and bond discount both have no effect on the carrying amount.
|
b
|
Multiple Choice
|
Business
|
University
| 3 |
493776
|
Stock in Dragula Industries has a beta of 1.1. The market risk premium is 7%, and T-bills are currently yielding 4.5%. The company's most recent dividend was $1.70 per share, and dividends are expected to grow at a 6% annual rate indefinitely.
If the stock sells for $39 per share, what is your best estimate of the company's cost of equity?
|
11.41%
|
Percentage
|
Finance
|
University
| 3 |
1328534
|
On June 1, 2012, Pitts Company sold some equipment to Gannon Company. The two companies entered into an installment sales contract at a rate of {eq}8\%
{/eq}. The contract required {eq}8
{/eq} equal annual payments with the first payment due on June 1, 2012. What type of compound interest table is appropriate for this situation?
A) Present value of an ordinary annuity of 1 table.
B) Future amount of 1 table.
C) Future amount of an ordinary annuity of 1 table.
D) Present value of an annuity due of 1 table.
|
D
|
Multiple Choice
|
Business
|
University
| 3 |
1407979
|
Which is true of prions?
a. All prion-associated diseases are characterized by slowly progressive, non-inflammatory neuronal degeneration and are fatal.
b. The replication of prions are not clearly understood.
c. Prions are protein particles that contain a genome of RNA or DNA which makes them an infectious agent.
d. Available antimicrobial agents are useless against them because prions lack reproductive and metabolic functions.
|
d
|
Multiple Choice
|
Biology
|
University
| 3 |
117907
|
A worker's "real" wage is related to:
a.his productivity in the workplace.
b.the value of his production to his employer.
c.the nation's absolute advantage in production of that product.
d.his productivity in the workplace, the value of his production to his employer, and the nation's absolute advantage in production of that product.
|
d
|
Multiple Choice
|
Economics
|
University
| 3 |
65060
|
What are the critical values, if any, of f(x) = x^3/sqrt(x + 25)?
|
x = 0
|
Expression
|
Mathematics
|
University
| 3 |
1832374
|
Determine the upper-tail critical value if {eq}1- \alpha = 0.99{/eq} and {eq}n = 27{/eq}.
|
2.479
|
Float
|
Mathematics
|
University
| 3 |
1989412
|
Your firm has net income of $343 on total sales of $1,360. Costs are $750 and depreciation is $120. The tax rate is 30 percent. The firm does not have interest expenses. What is the operating cash flow?
a. $463
b. $343
c. $610
d. $833
e. $490
|
a
|
Multiple Choice
|
Business
|
University
| 3 |
53578
|
Find the remainder when dividing $13^{3530}$ with $12348$. How do I solve these type of exercises?
|
169
|
Integer
|
Mathematics
|
University
| 3 |
1382103
|
A firm uses only one variable input and faces the following Average Cost function: {eq}AC = Q^2 - 15Q + 48
{/eq}
Calculate the output level (Q) at which diminishing returns set in.
|
7.5
|
Float
|
Economics
|
University
| 3 |
972433
|
A manufacturer produces unique tapestries and bedding for hotel chains and uses a job-order costing system. During the current month, the manufacturer purchased $50,000 of direct materials and incurred $22,000 indirect labor. Overhead is applied on the basis of direct labor hours at a rate of 60%. Over applied or underapplied overhead is closed to the cost of goods sold at the end of the period. The actual overhead incurred this month was $10,000. Balances in the manufacturer's inventory accounts are presented below.
Beginning of monthEnd of month
Direct materials$2,000$3,500
Work-in-process5,0009,000
Finished goods2,5001,700
What is the cost of goods manufactured this month?
a. $76,500
b. $79,700
c. $80,500
d. $83,700
|
B
|
Multiple Choice
|
Business
|
University
| 3 |
383864
|
Getzels and Jackson (1962) used _____ to assess creativity by asking subjects to write as many meanings of the words: duck, sack, pitch and fair.
(a) vocabulary ability
(b) semantic ability
(c) language ability
(d) associative ability
|
d
|
Multiple Choice
|
Psychology
|
University
| 3 |
1521409
|
Which of the following statements is true given the payoff matrix for Richard and Charlotte's gold search game?
Charlotte
Go To A
Go To B
Richard
Go To A
5 Richard , 3 Charlotte
5 Richard , 2 Charlotte
Go To B
4 Richard , 6 Charlotte
7 Richard , 7 Charlotte
A) The upper left cell of the payoff matrix is a Nash Equilibrium
B) The upper right cell of the payoff matrix is a Nash Equilibrium
C) The lower right cell of the payoff matrix is a Nash Equilibrium
D) The lower left cell of the payoff matrix is a Nash Equilibrium
E) This game has no Nash Equilibrium or it has more than one Nash Equilibrium
|
E
|
Multiple Choice
|
Mathematics
|
University
| 3 |
208347
|
Suppose a worker with an annual discount rate of 10% currently resides in Pennsylvania and is deciding whether to remain there or to move to Illinois. There are three work periods left in the life cycle. If the worker remains in Pennsylvania, he will earn $20,000 per year in each of the three periods. If the worker moves to Illinois, he will earn $22,000, in each of the three periods. What is the highest cost of migration that a worker is willing to occur and still make the move?
|
$4,973.70
|
Float
|
Economics
|
University
| 3 |
624127
|
A pension plan is obligated to make disbursements of $2.0 million, $3.0 million, and $2.0 million at the end of each of the next three years, respectively. Find the duration of the plan's obligations if the interest rate is 11% annually.
|
1.94 years
|
Float
|
Mathematics
|
University
| 3 |
253868
|
How does one reconcile the divergent terms $- 2\gamma - \lim\limits_{\eta\to 0^+} \log(\eta^2)$ that arise when explicitly computing the principal value integral $\mathscr{P}\int_{-\infty}^{\infty}d\omega \frac{e^{-i \omega t}}{\sqrt{\omega^2}}$ with the result $\mathscr{P}\int_{-\infty}^{\infty}d\omega \frac{e^{-i \omega t}}{\sqrt{\omega^2}} = - \log(t^2)$, which is what Mathematica produces and is also found in Lighthill's book? Specifically, how do Mathematica and Lighthill get rid of these divergent terms? Is the definition of the Cauchy Principal Value being used incorrectly?
|
-log(t^2)
|
Expression
|
Mathematics
|
University
| 3 |
291595
|
{eq}\int\frac{x^4}{x^2-1}dx= {/eq}.
Select one.
a. {eq}\frac{{x}^{2}}{2} + x + \frac{1}{2}\ln{\left|x - 1\right|} + \frac{1}{2}\ln{\left|x + 1\right|} + C {/eq}
b. {eq}\frac{{x}^{2}}{2} + x + \frac{1}{3}\ln{\left|x - 1\right|} - \frac{1}{3}\ln{\left|x + 1\right|} + C {/eq}
c. {eq}\frac{{x}^{3}}{3} + x + \frac{1}{2}\ln{\left|x - 1\right|} + \frac{1}{2}\ln{\left|x + 1\right|} + C {/eq}
d. {eq}\frac{{x}^{3}}{3} + x + \frac{1}{3}\ln{\left|x - 1\right|} -\ln{\left|x + 1\right|} + C {/eq}
|
c
|
Multiple Choice
|
Mathematics
|
University
| 3 |
882298
|
Evaluate the triple integral {eq}\int \int_D \int xyz^2{/eq} where {eq}D{/eq} is the rectangular box given by {eq}D= \left \{ (x,y,z)|0 \leq x \leq1,-1\leq y\leq 2, 0\leq z \leq 3 \right \}{/eq}
|
6.75
|
Float
|
Mathematics
|
University
| 3 |
2068671
|
Suppose a shock hits an economy that abides by a classical model and you observe the following changes: overall output increases and marginal productivity of workers decreases. Which of the following could lead to these observations?
a. a flood in Minnesota, which destroys the production facility
b. the invention of personal computers
c. a huge lake was drained and new fertile land was revealed
d. immigrants get working visas and join the labor force
|
d
|
Multiple Choice
|
Economics
|
University
| 3 |
1938325
|
Which of the following statements correctly describes the short-turn response towards a drop in current output?
A. The IS curve stays unchanged.
B. The IS curve shifts to the right.
C. The IS curve shifts to the left.
|
C
|
Multiple Choice
|
Economics
|
University
| 3 |
276120
|
Preference shareholders' sacrifice of undeclared preference dividend is to be credited to:
a. preference share capital.
b. paid-up capital.
c. equity capital stock.
d. none of these.
|
d
|
Multiple Choice
|
Business
|
University
| 3 |
2074984
|
Is the integral of an unspecified function equal to $x\cos(\frac1 x)+2C$? If so, how do you solve the integral?
|
xcos(1/x) + 2C
|
Expression
|
Mathematics
|
University
| 3 |
95000
|
Evaluate {eq}\displaystyle \int_C xy^2dx + x^2ydy {/eq} If {eq}\displaystyle C {/eq} is a piecewise smooth curve from {eq}\displaystyle \text{ (0,0) to (2,3) } {/eq}.
|
18
|
Integer
|
Mathematics
|
University
| 3 |
1735154
|
Bo-Col Enterprises expects to operate at a profit in its next fiscal year. Which of the following statements about its budgeted income statement is correct?
a. Operating expenses are expected to be greater than gross profit.
b. Operating income is expected to be greater than net income.
c. Net income is expected to be greater than operating income.
d. Gross profit minus operating expenses will equal net income.
|
b
|
Multiple Choice
|
Business
|
University
| 3 |
1817309
|
Derive the derivative of {eq}\arctan {x} using the formula {eq}f'[f^{-1} (x)] {/eq}.
|
\frac{1}{1+x^2}
|
Expression
|
Mathematics
|
University
| 3 |
2032107
|
A particle has a velocity that is 85% of the speed of light. If the wavelength of the particle is 1.93 * 10^-15 m, calculate the mass of the particle.
Mass = .........kg
|
1.35 * 10^-27 kg
|
Float
|
Physics
|
University
| 3 |
2097000
|
Is it possible to use the squeeze theorem to evaluate $$\lim_{x\rightarrow 0} \left(\frac{x}{x^2 + \sin x} \right)?$$ If yes, how?
|
1
|
Integer
|
Mathematics
|
University
| 3 |
455453
|
What is the probability that the mean body temperature is no more than {eq}98.2 ^\circ F {/eq} given that the population of human body temperatures has a mean of {eq}98.6 ^\circ F {/eq} and a standard deviation of {eq}0.62 ^\circ F {/eq}, and we randomly select a sample of size {eq}n = 106 {/eq}?
|
0
|
Float
|
Mathematics
|
University
| 3 |
1717227
|
A stock has an expected return of 16.2 percent, a beta of 1.75, and the expected return on the market is 11%. What must the risk-free rate be?
|
4.07%
|
Percentage
|
Finance
|
University
| 3 |
500164
|
Consider $f$ is differentiable, find $$\lim_{n\to \infty} \frac{1}{n^2} \sum_{k=1}^n \frac{f(a+\frac{k}{n^2}) -f(a)}{\frac{k}{n^2}}$$ .
|
0
|
Integer
|
Mathematics
|
University
| 3 |
378088
|
For the function f(x) = ln(1+x), find the remainder and show that \lim_{x\rightarrow \infty} R_n(x) =0 for all x in the interval of convergence.
|
0
|
Expression
|
Mathematics
|
University
| 3 |
694693
|
A lock-up agreement prevents the sale of insider shares for 12 to 36 months.
a. True
b. False
|
a
|
Multiple Choice
|
Business
|
University
| 3 |
648770
|
EcoBrite Labs performs tests on water samples supplied by outside companies to ensure that their wastewater meets environmental standards. Customers deliver water samples to the lab and receive lab reports via the Internet. The EcoBrite Labs facility is built and started to handle the processing of 100,000 tests per year. The lab facility cost $160,000 to build and is expected to last 10 years and will have no salvage value. Processing equipment cost $250,000 and has a life expectancy of five years and will have no salvage value. Both facility and equipment are depreciated on a straight-line basis. EcoBrite Labs has six salaried laboratory technicians, each of whom is paid $30,000. In addition to the salaries, facilities, and equipment, EcoBrite Labs expects to spend $50,000 on chemicals and other supplies (assuming 100,000 tests are performed). Last year, 85,000 tests were performed.
Calculate the total annual activity rate for the water testing activity. Round your answer to the nearest cent.
|
$2.96
|
Float
|
Business
|
University
| 3 |
1496039
|
Some scientists have recommended that farmers should grow genetically modified (GM) maize for food as this would lower the cost of producing maize. Assume that the market for maize is perfectly competitive. If these scientists are correct and the own-price elasticity of demand for maize is 0.5 then _____.
a. we would expect maize farmers' revenue to decrease if they move to GM crops
b. we would expect maize farmers' revenue to increase if they move to GM crops
c. we would expect maize farmers' revenue to not change if they move to GM crops
d. we do not know what will happen to maize farmers' revenue if they move to GM crops as we do not know the elasticity of supply
|
a
|
Multiple Choice
|
Economics
|
University
| 3 |
1938760
|
A truck costing $45,000 and having the estimated salvage value of $4,500 and an original life of five years is exchanged for a new truck. The cash price of the new truck is $57,000, and a trade-in allowance of $22,500 is received. The old truck has been depredated for three years using the straight-line method. The new truck would be recorded at:
a. $55,200
b. $57,000
c. $34,500
d. $43,200
e. None of the above
|
a
|
Multiple Choice
|
Business
|
University
| 3 |
475610
|
How do you find a p value if n = 50 for a two-tailed test, and the test statistic z = 3.38?
|
0.0008
|
Float
|
Mathematics
|
University
| 3 |
1374308
|
The Ajax Co. just decided to save $1,500 a month for the next five years as a safety net for recessionary periods. The money will be set aside in a separate savings account which pays 3.25 percent interest compounded monthly. It deposits the first $1,500 today. If the company had wanted to deposit an equivalent lump sum today, how much would it have had to deposit?
a. $82,964.59
b. $83,189.29
c. $83,428.87
d. $83,687.23
e. $84,998.01
|
b
|
Multiple Choice
|
Business
|
University
| 3 |
533943
|
An asset having a four-year service life and a salvage value of $5,000 was acquired for $45,000 cash on June 20. Ignore the half-year convention and calculate the depreciation expense at the end of the first year, December 31?
a. $10,000, under the straight-line method
b. $22,500, under the double-declining-balance method
c. $7,000, under the straight-line method
d. $11,250, under the double-declining-balance method
|
d
|
Multiple Choice
|
Business
|
University
| 3 |
1619326
|
Which of the following statements about price elasticity of demand is most accurate?
a. Price elasticity with inelastic demand must always be greater than one.
b. The more substitutes a product has, the less likely it is to be price elastic.
c. Unitary demand represents the relationship between the cash outlay necessary to purchase a product, relative to a person's disposable income.
d. With inelastic demand, reducing price will result in an increase in total revenue though not necessarily an increase in profit.
e. Items requiring large cash outlay relative to the consumer's disposable income are price elastic.
|
e
|
Multiple Choice
|
Economics
|
University
| 3 |
1607356
|
Relative to the other cash management models (i.e. Baumol Model and Miller-Orr Model), the Stone model is _____ practical.
a) more
b) less
c) equally
d) Insufficient information to determine.
|
a
|
Multiple Choice
|
Business
|
University
| 3 |
771506
|
In a single-slit experiment, the slit width is 195 times the wavelength of the light. What is the width of the central maximum on a screen 2.0 m behind the slit?
|
0.0205 m
|
Float
|
Physics
|
University
| 3 |
43495
|
Suppose that both {eq}y1(t) = t^2 +4t-1{/eq} and {eq}y2(t) = t^2 +3t+5{/eq} are solutions to a linear first order ODE {eq}y'= p(t)y + q(t){/eq}. What does that tell you about places where either {eq}p(t){/eq} or {eq}q(t){/eq} must be discon-tinuous?
|
t=6
|
Integer
|
Mathematics
|
University
| 3 |
305080
|
Evaluate the integral of f(x) = x^3 + 2x - 3 from x = -1 to x = 2 using Simpson's 1/3 Rule where n = 6.
|
-2.25
|
Float
|
Mathematics
|
University
| 3 |
452967
|
Two circular disks spaced 0.50 mm apart from a parallel-plate capacitor. Transferring 1.90 x 10{eq}^9
{/eq} electrons from one disk to the other causes the electric field strength to be 1.90 x 10{eq}^5
{/eq} N/C.
D =_____ cm
|
1.52 cm
|
Float
|
Physics
|
University
| 3 |
1364434
|
Apple-A-Day Company has the following inventory data:
July 1 Beginning inventory 20 units at $20 $400
7 Purchases 70 units at $21 $1,470
22 Purchases 10 units at $22 $220
$2,090
A physical count of merchandise inventory on July 30 reveals that there are 25 units on hand. Using the LIFO inventory method, the amount allocated to the cost of goods sold for July is:
A) $1,585
B) $1,590
C) $1,555
D) $1,540
|
A
|
Multiple Choice
|
Business
|
University
| 3 |
397942
|
Suppose the market for peaches is perfectly competitive and unregulated. Suppose also that the chemicals used to keep the peaches insect-free damage the environment by an estimated $0.5 per bushel of peach. Suppose QD = 1000 - 100P and QS = -100 + 100P. The price consumers would have to pay for the market to achieve the socially optimal level of production is
- 5.75
- 6.75
- 5
- 6
|
5.75
|
Float
|
Economics
|
University
| 3 |
357028
|
Assume the following information:
Direct Materials $40 per unit
Direct Labor $20 per unit
Total Estimated Manufacturing Overhead $8,400,000
Manufacturing overhead is allocated based on estimated direct-labor hours. Each unit of product requires 1 direct labor hour.
During the year, the company produced and sold 441,000 units and incurred actual overhead of $8,500,000. What is the under/over applied overhead if the estimated direct labor hours is 420,000.
|
320000
|
Integer
|
Business
|
University
| 3 |
1517919
|
Assume that a call option has an exercise price of $1.50/pound. At a spot price of $1.45/pound, the call option has _____.
A) a time value of $0.04
B) an intrinsic value of -$0.04
C) a time value of $0.00
D) an intrinsic value of $0.00
|
D
|
Multiple Choice
|
Finance
|
University
| 3 |
853974
|
Using implicit differentiation, find the equation of the tangent line to {eq}x^4-x^2y+y^5=1\space \text{at}\space (-1,1)
|
y=1/2x+3/2
|
Expression
|
Mathematics
|
University
| 3 |
1770245
|
Spartan Insurance Company plans to purchase bonds today that have four years remaining to maturity, a par value of $60 million, and a coupon rate of 10%. Spartan expects that in three years, the required rate of return on these bonds by investors in the market will be 9%. It plans to sell the bonds at that time. What is the expected price it will sell the bonds for in three years?
|
$60.55 million
|
Float
|
Finance
|
University
| 3 |
76091
|
Suppose that the federal government reclassified the purchase of a new home as consumption spending rather than investment spending.
This decision would:
A. increase aggregate demand and decrease real GDP.
B. decrease aggregate demand and decrease real GDP.
C. decrease aggregate demand and increase real GDP.
D. increase aggregate demand and increase real GDP.
E. have no impact on aggregate demand and real GDP.
|
E
|
Multiple Choice
|
Economics
|
University
| 3 |
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