Mathematical Reasoning Questions and Answers

3 Part 3 of 3 12 pints Required information Required 3 Compute the amount of liabilities for Company E at the beginning of the year End of Year Assets Required 4 Required 5 Equity beginning of year Add Stock issuances Add Net income Less Cash dividends Equity end of year Beginning of Year Liabilities 19 656 6 500 8 608 34 764 11 000 23 764 Li ktier Equity Equity 0 Re

2 of 3 pok int ences The following financial statement information is from five separate companies Company C 23 040 12 441 Beginning of year Assets Liabilities End of year Assets Liabilities Changes during the year Stock issuances Net income loss Cash dividends Company A 36 000 29 520 41 000 Required 2A Required 2B Required 2C 6 000 9 470 3 500 Company B 28 080 19 656 29 520 20 073 1 400 2 000 Complete this question by entering your answers in the tabs below 2a What is the amount of equity at the beginning of the year for Company B 2b What is the amount of equity at the end of the year for Company B 2c Compute the net income of the year for Company B 13 460 What is the amount of equity at the end of the year for Company B 9 750 7 700 5 875 Company D 64 080 44 215 74 620 35 817 11 938 0 Company E 98 280 2 113 160 89 396 6 500 8 608 11 000 Ch

1 1 of 3 Book rint rences Ine Tollowing financial statement information is from tive separate companies Beginning of year Assets Liabilities End of year Assets Liabilities Changes during the year Stock issuances Net income loss Cash dividends Company A 36 000 29 520 41 000 Required 1A Required 1B Required 1C 6 000 9 470 3 500 Company B Company C 23 040 12 441 28 080 19 656 29 520 20 073 1 400 2 000 Complete this question by entering your answers in the tabs below Required 1a What is the amount of equity at the beginning of the year for Company A 1b What is the amount of equity at the end of the year for Company A 1c What is the amount of liabilities at the end of the year for Company A 13 460 What is the amount of equity at the beginning of the year for Company A 9 750 7 700 5 875 Company D 64 080 44 215 74 620 35 817 11 938 0 Company E 98 280 113 160 89 396 6 500 8 608 11 000

66 oints eBook Hint Print References Answer the following questions Hint Use the accounting equation a At the beginning of the year Addison Company s assets are 180 000 and its equity is 135 000 During the year assets increase 80 000 and liabilities increase 46 000 What is the equity at year end b Office Store Company has assets equal to 188 000 and liabilities equal to 148 000 at year end What is the equity for Office Store Company at year end c At the beginning of the year Quaker Company s liabilities equal 41 000 During the year assets increase by 60 000 and at year end assets equal 190 000 Liabilities decrease 19 000 during the year What are the beginning and ending amounts of equity Complete this question by entering your answers in the tabs below Required A Required B Required C At the beginning of the year Quaker Company s liabilities equal 41 000 During the year assets increase by 60 000 and at year end assets equal 190 000 Liabilities decrease 19 000 during the year What are the beginning and ending amounts of equity Beginning Change Ending Assets Liabilities 60 000 190 000 41 000 19 000 Equity Check

5 of 4 ook int rint rences On December 1 Jasmin Ernst organized Ernst Consulting On December 3 the owner contributed 83 660 in assets in exchange for its common stock to launch the business On December 31 the company s records show the following items and amounts Cash Accounts receivable office supplies Office equipment Land Accounts payable Common stock 12 040 Cash dividends 13 720 Consulting revenue 2 990 Rent expense 17 710 Salaries expense 45 940 Telephone expense 8 230 Miscellaneous expenses 83 660 Cash flows from operating activities Also assume the following a The owner s initial investment consists of 37 720 cash and 45 940 in land in exchange for its common stock b The company s 17 710 equipment purchase is paid in cash c Cash paid to employees is 1 450 The accounts payable balance of 8 230 consists of the 2 990 office supplies purchase and 5 240 in employee salaries yet to be paid d The company s rent expense telephone expense and miscellaneous expenses are paid in cash e No cash has yet been collected on the 13 720 consulting revenue earned 1 760 13 720 3 210 6 690 870 680 Using the above information prepare a December statement of cash flows for Ernst Consulting Note Cash outflows should be indicated by a minus sign ERNST CONSULTING Statement of Cash Flows For Month Ended December 31 Check my

art 1 of 4 66 oints eBook Hint Print References Required information The following information applies to the questions displayed below On December 1 Jasmin Ernst organized Ernst Consulting On December 3 the owner contributed 83 660 in assets in exchange for its common stock to launch the business On December 31 the company s records show the following items and amounts Cash Accounts receivable Office supplies office equipment Land Accounts payable Common stock 12 040 Cash dividends 13 720 Consulting revenue 2 990 Rent expense 17 710 45 940 8 230 Miscellaneous expenses 83 660 Salaries expense Telephone expense Using the above information prepare a December income statement for the business ERNST CONSULTING Income Statement 1 760 13 720 3 210 6 690 870 680

ts eBook Hint Print eferences Answer the following questions Hint Use the accounting equation a At the beginning of the year Addison Company s assets are 180 000 and its equity is 135 000 During the year assets increase 80 000 and liabilities increase 46 000 What is the equity at year end b Office Store Company has assets equal to 188 000 and liabilities equal to 148 000 at year end What is the equity for Office Store Company at year end c At the beginning of the year Quaker Company s liabilities equal 41 000 During the year assets increase by 60 000 and at year end assets equal 190 000 Liabilities decrease 19 000 during the year What are the beginning and ending amounts of equity Complete this question by entering your answers in the tabs below Required A Required B Required C At the beginning of the year Addison Company s assets are 180 000 and its equity is 135 000 During the year assets increase 80 000 and liabilities increase 46 000 What is the equity at year end Equity 135 000 Beginning Change Ending Assets H 180 000 80 000 e Liabilities 4 46 000

5 At the Lindt chocolate store you can select your own assortment of Lindt truffles and pay by the ounce You put together a few different gift bags for your friends The weights and costs are given in the table Weight ounces Cost dollars 8 3 11 12 7 14 7 39 9 79 11 30 12 46 How much greater is the cost of buying a 10 ounce bag than the cost of buying a 6 ounce bag

3 Patty is working on knitting a scarf throughout the winter At 7 PM one evening she picks up her knitting project After 15 minutes her scarf has lengthened by 4 inches By 8 45 she has completed the scarf Consider the linear relationship between the time she has spent knitting on this particular evening in hours and y the inches of scarf she has left to complete Which of the following is given in this problem A The y intercept and the z intercept B The slope and the x intercept C The y intercept and an additional point that is not the x intercept D The slope and a point that is neither the x intercept nor the y intercept

Use the data in the following table to calculate the GDP deflator for each year values are in billions of dollars enter your response rounded to two decimal places remember to multiply by 100 Source Federal Reserve Bank of St Louis FRED research stlouisfed org fred2 Year 2017 2018 2019 2020 2021 Source Federal Reserve Bank of St Louis FRED research stlouisfed org fred2 Nominal GDP 19 477 20 533 21 381 21 060 23 315 Real GDP 18 077 18 609 19 036 18 509 19 610 GDP Deflator

4 Martina deve svolgere un test costituito da 8 domande a risposta multipla A B C o D a Calcola in quanti modi possibili Martina potrebbe compilare il test b Come cambierebbe la risposta sapendo in anticipo che le risposte giuste sono equamente divise due A a B e cos via

uestion 4 Points 1 is an economic system in which landowners divided their farms and gave each head of mousehold a few acres along with seed and tools in exchange for a portion of the harvest O Carpetbagging O Sharecropping O Planation economy O Market economy Complete Later Complete Questions 5 9 13 17 21 25 2 6 10 14 22 26 Dy IN 7 11 18 19 15 23 27

a Constant volume b Constant temperature c Adiabatically 5 2R is compressed from P 5 bar and T 500 K to P 8 bar by each of the following paths Assuming mechanical reversibility calculate the total AU in J mol for all three processes R 8 3145 J molK4 Question 12 to One mole of an ideal gas with Cp 7 2 R and Cy 5 2R is compressed from P 5 bar and T 500 K to P 8 bar by each of the following paths a Constant volume b Constant temperature

Starting from the transformation under diffeomorphisms for the connection coefficients Tuen Tex Te a Prove that the covariant derivative of a vector behaves in turn as a vector

Divisive clustering method is different from agglomerative clustering methods in that divisive clustering methods O separate objects into a particular cluster in one step O can only have a single subject in each cluster separate n objects successively into finer groupings O can only have a pair of subjects in each cluster

2 Barry Severes purchased a 25 000 Baltic Ridge School District bond at a quoted price of 105 7 The bond pays annual interest at a rate of 3 7 3 Lloyd Zion purchased an ITT 80 000 corporate bond at a quoted price of 96 622 The bond pays annual

Which of the following is not an indicator of irrelevant features Model performance does not increase after adding the feature The normalized feature importance is below 1 O The feature has a low correlation with the label The feature was proposed by a domain expert on the problem

J k Given triangle JKL if you are given the lengths of all three sides and the measure of ZJ which of the following can you then determine using the sign law a K L b L c both a and b d neither a nor b

Construct a truth table for the statement p q Complete the truth table below P q P q p q p q

A force of 80 pounds on a rope is used to pull a box up a ramp inclined at 10 from the horizontal The figure shows that the rope forms an K angle of 33 with the horizontal How much work is done pulling the box 24 feet along the ramp The work done is Round to the nearest whole number as needed 80 pounds 33 10

II Find the General term of the following Series 10 11 1 1 3 3 2 1 381 16 2 4 3 9 27 5 X x 4 7 X 10

A cylindrical water tank used in lifting water to the top of a tower is 1 5 m high If the pressure at the bottom of the tank is must not exceed 25 kPa what maximum vertical acceleration can be imposed in the cylindrical when it is filled with water

An ope cylina m in diameter and 90 cm high containing water is rotated about its vertical axis at a speed of 240 rpm without spilling water a Which of the following most nearly gives the height of the paraboloid formed a 20 50 cm b 32 19 cm c 25 76 cm d 34 52 cm b Which of the following most nearly gives the pressure intensity at the center of the base of the cylinder a 5 67 kpa b 4 34 kpa c 6 67 kpa d 7 23 kpa c If the cylinder is brought to rest which of the following most nearly gives the depth of the water a 0 944m b 0 853 m c 0 578 m 0739ml

040 010 Orange Cherry Lemon Bell Plum e Orange Bar Plum Orange Lemon Orange Bar Lemon Orange Lemon Plum Lemon Orange Cherry Lemon a P 3 plums b P 3 bells c P 3 oranges D DO IDIC 10 Cherry Bar Plum Bar Orange Bell Cherry Bell Cherry Plum Orange Bell Cherry Bell Bar Bell Bar Bell Cherry Lemon d P cherries on the first wheel Plemons on the first whools DODO 04 20 Cherry Plum Cherry Plum Cherry Cherry Plum Bar Orange Bell Cherry Plum Bar Orange Plum Cherry Orange Cherry Plum Cherry

Suppose events A B and C are independent and 1 P A P B P C 1 2 2 Find the probability Enter the probability as a fraction P An Bn C

Harry s Flooring has two salary option O 1 s 500 0 07s O 2 s 0 07s 700

President Franklin Roosevelt s were an attempt to soothe the fears of the American public by providing simple straightforward answers about the economic crisis of the 1930s

Determine the validity of the following argument 9 p 9

Which of the following is a valid rule of inference bd V dd v bnd O 0 pv q qVr pr p g r pVg r d O FATP V q

beams Sketch the loadings that act along the joists AG and BF in the figure below a 8 0ft b 30ft dow Areyna Lapds Later Mode A Fige QPC3 34 06 206 mg 8212 by Pravin Laucation be Haptad G

In old gangster movies on TV you often hear of number runners or the numbers racket This numbers game which is still played today involves betting 1 on the last three digits of the number of stocks sold on a particular day in the future as reported in The Wall Street Journal If the payoff is 800 what is the expectation for this numbers game X

Assume that a dart is randomly thrown at the dartboard shown here and strikes the board every time The payoffs are listed on the board How much should you be willing to pay for the opportunit play this game Round your answer to the nearest cent 8 16 2 MY NOTES 5 ASK YOUR TEACHE

sume that a dart is randomly thrown at the dartboard shown here and strikes the board every time The payoffs are listed on the board How much should you be willing to pay for the opportunity to y this game 3 X 1 00 6 00 8 00 4 00 10 00

Suppose you toss a coin and will win 3 if it comes up heads If it comes up tails you toss again This time you will receive 6 if it comes up heads If it comes up tails toss again This time you will receive 12 if it is heads and nothing if it comes up tails What is the mathematical expectation for this game

gangster movies on TV you often hear of number runners or the numbers racket This numbers game which is still played today involves betting 1 on the last three digits of the number of sold on a particular day in the future as reported in The Wall Street Journal If the payoff is 800 what is the expectation for this numbers game

Krinkles potato chips is having a Lucky Seven Sweepstakes The one grand prize is 50 000 7 second prizes each pay 5 000 77 third prizes each pay 500 and 777 fourth prizes each pay 50 What is the expectation of this contest if there are 9 million entries Round your answer to the nearest cent

Form the dual maximization problem Use X X and x3 as the variables and f as the function and use the simplex method to solve the minimization problem Assume that all variables are nonnegative Minimize g 16y 15y2 subject to the following Y Y 2 100 2y1 y 140 5y 580 6y1 Maximize f subject to X Your answer cannot be understood or graded More Information 16 The minimum value of the objective function is 15 X1 X2 X3 2 0 which occurs at y MY NOTES ASK YOUR TEACH

Assume x is a particular real number and use De Morgan s laws to write negation for x 3 or x 7

1 For sample values x X X the sample variance is s n 1 a Show that the sample variance is unchanged if a constant c is added to or subtracted from each value in the sample b Show that the sample variance becomes c times its original value if each observation in the sample is multiplied by c Each x a If a constant c is added to or subtracted from each value in the sample how do the sample values x change becomes X C n 1 x x where x x is the sample mean n i 1 i 1 becomes cx remains unchanged TE

Next qu The hospital period in days for patients following treatment for a certain type of kidney disorder is a random variable Y X 6 where X has the following density function Cor parts a and b 72 1 x x 6 0 g y 3 X 0 a Find the probability density function of the random variable Y 10 Y 20 0 elsewhere elsewhere

A factory manufactures two products A and B Each product requires the use of three machines Machine I Machine II and Machine Ill The time requirements and total hours available on each machine are listed below Product A Product B Total Hours Machine I 1 2 76 Machine II Machine III 4 2 2 2 94 176 If product A generates a profit of 40 per unit and product B a profit of 60 per unit how many units of each product should be manufactured to maximize profit and what is the maximum profit To maximize profit the factory should produce units of product A and units of product B The maximum profit would be

Using the data below what is the simple exponential smoothing forecast for the 4th week where a 0 3 Week Time Series Value 2 3 2 6 00 3 4 00 6 00 Using the data below calculate the bias based on using the naive forecast method Week Time Series Value 8 00 10 00 8 00 24 00 Submit 23 00

You have a credit card that charges an interest rate of 14 55 compounded monthly using the adjusted balance method The table below shows your activity for the month of April Activity Beginning Balance Purchase Date April 1 April 6 April 15 Payment April 16 Purchase April 20 Purchase April 27 Purchase April 30 Ending Balance Amount 40 20 225 00 88 25 10 00 33 50 Balance 500 00 540 20 315 20 403 45 413 45 446 95 446 95 What is the adjusted balance for this account What is the finance charge for the month of April

a b ve c tamsay lar ile a a daki i lem tablosu olu tu rulmu tur LO 5 1 X L b c a c a b MC 30 i lemler yap l rken nce ilk say kullan lm t r Buna g re K L M i leminin sonucu ka t r A 72 B 66 C 60 D 36 K E 24

periment can be performed in 7 distinct ways and a second experiment can be performed in 8 distinct ways the two experiments together can be performed in how distinct ways the two experiments can be performed together GE

This question 2 point s possible Comprehensive Problem Suppose that you are in the fall of your senior year and are faced with the choice of either getting a job when you graduate or going to law school Of course your choice is not purely financial However to make an informed decision you would to know the financial implications of the two alternatives Let s assume that your alternatives are as follows If you take the get a job route you expect to start off with a salary of 45 000 per year There is no way to predict what will happen in the future your best guess is that your salary will grow at 5 percent per year until you retire in 43 years As a law student you will be payin 25 000 per year tuition for each of the 3 years you are in graduate school However you can then expect a job with a starting salary of 80 000 per year Moreover you expect your salary to grow by 9 percent per year until you retire 36 years later Clearly your total expected lifetime salary will be higher if you become a lawyer However the additional future salary is not free You will be paying 25 000 in tuition at the beginning of each of the 3 years of law school In addition you will be giving up a little more than 141 000 in lost income over the three years of law school 45 000 the first year 47 250 the second year and 49 613 the third year a To start your analysis of whether to go to law school calculate the present value of the future earnings that you will realize by going directly to work assume a discount rate of 10 percent b What is the present value today of your future earnings if you decide to attend law school assuming a discount rate of 10 percent Remember that you will be in law school for 3 years before you start to work as a lawyer Hint assume that you are paid at the end of eac year so that your first salary payment if you decide to go to law school occurs 4 years from now c If you pay your law school tuition at the beginning of each year what is the present value of your tuition assuming a discount rate of 10 percent a What is the present value of the future earnings that you will realize by going directly to work assuming a discount rate of 10 percent Round to the nearest cent b What is the present value today of your future earnings if you decide to attend law school assuming a discount rate of 10 percent Round to the nearest cent CITY Submit qu c If you pay your law school tuition at the beginning of each year what is the present value of your tuition assuming a discount rate of 10 percent Round to the nearest cent

resent value of complex cash flows How much do you have to deposit today so that beginning 11 years from now you can withdraw 15 000 a year for the next 8 years periods 11 through 18 plus an additional amount of 30 000 in the last year period 18 Assume a erest rate of 8 percent he amount of money you have to deposit today is Round to the nearest cent This question 2 point s possible GELEB

a How much must you deposit annually to accumulate this amount Round to the nearest cent b If you decide to make a large lump sum deposit today instead of the annual deposits how large should the lump sum deposit be Round to the nearest cent c If you deposit 15 000 received at the end of five years in the bank what will the amount grow to by the end of year 16 S Round to the nearest cent Comprehensive problem You would like to have 56 000 in 16 years To accumulate this amount you plan to deposit an equal sum in the bank each year that will earn 9 percent interest compounded annually Your first payment will be made at the end of the ye a How much must you deposit annually to accumulate this amount b If you decide to make a large lump sum deposit today instead of the annual deposits how large should this lump sum deposit be Assume you can earn 9 percent on this deposit c At the end of five years you will receive 15 000 and deposit this in the bank toward your goal of 56 000 at the end of year 16 In addition to the lump sum deposit how much must you deposit in equal annual amounts beginning in year 1 to reach your goal A assume you can earn 9 percent on your deposits In addition to the lump sum deposit how much must you deposit in equal annual amounts beginning in year 1 to reach your goal Round to the nearest cent This question 2 point s possible BLOOD Q Sub

he following graph of g x Write a formula for g x that describes the transformations performed on the basic function wer S 1012 59 13 101 Enable Zoom Pan

Use the accompanying frequency polygon to answer the following questions a How many people sent five e mail messages b How many people sent six or fewer e mail messages c How many people were included in the survey d Construct a frequency distribution from the frequency polygon e Construct a histogram from the frequency distribution in part d umber of Peopl e Construct a histogram from the frequency distribution in part d OA OB OPEYNO 6 7 Number of E mail Messages Sent 8 9 10 Number of People Number of E mail Messages Sent SEDINO CITR Number of People Number of E mail Messages Sent per Day M Number of Messages Der Type whole numbers O C Number of People OPOTNO Number of E mail Messages Sent of MT 10 odb C