Mathematical Reasoning Questions and Answers

Outlaw Bike Co is a wholesaler of motorcycle supplies An aging of the company s accounts receivable on December 31 and a historical analysis of the percentage of uncollectible accounts in each age category are as follows Age Class Not past due 1 30 days past due 31 60 days past due 61 90 days past due 91 180 days past due Over 180 days past due Balance 546 000 60 100 27 300 19 700 14 200 10 400 677 700 Age Class Not past due 1 30 days past due 31 60 days past due 61 90 days past due 91 180 days past due Over 180 days past due Total Balance 546 000 Percent Uncollectible 1 2 4 Estimate what the proper balance of the allowance for doubtful accounts should be as of December 31 Estimated 7 18 60 100 27 300 19 700 14 200 10 400 677 700 41 80 Estimated Uncollectible Accounts Uncollectible Accounts Percent 1 2 4 7 18 41 80 Amount

ccounts using direct write off method Journalize the following transactions in the accounts of Canyon River Medical Co a medical equipment company that uses the direct write off method of accounting for uncollectible receivables Jan 19 Sold merchandise on account to Dr Kyle Norby 51 500 The cost of goods sold was 27 800 June 2 Received 14 400 from Dr Kyle Norby and wrote off the remainder owed on the sale of January 19 as uncollectible Oct 23 Reinstated the account of Dr Kyle Norby that had been written off on June 2 and received 37 100 cash in full payment If an amount box does not require an entry leave it blank Jan 19 sale Jan 19 cost June 2 Accounts Receivable Dr Kyle Norby Sales Cost of Goods Sold Inventory Cash Bad Debt Expense Accounts Receivable Dr Kyle Norby Oct 23 reinstate Accounts Receivable Dr Kyle Norby Bad Debt Expense 88

Prefix Supply Company received a 120 day 10 note for 24 000 dated April 12 from a customer on account Assume 360 days in a year a Determine the due date of the note August 10 b Determine the maturity value of the note Feedback Check My Work c Journalize the entry to record the receipt of the payment of the note at maturity If an amount box does not require an entry leave it blank

Journalize the following transactions using the direct write off method of accounting for uncollectible receivables Mar 17 Received 2 200 from Shawn McNeely and wrote off the remainder owed of 3 280 as uncollectible If an amount box does not require an entry leave it blank B Mar 17 Cash Bad Debt Expense Accounts Receivable Shawn McNeely Feedback Check My Work July 29 Reinstated the account of Shawn McNeely and received 3 280 cash in full payment If an amount box does not require an entry leave it blank 88 July 29 Accounts Receivable Shawn McNeely Bad Debt Expense

es cash short The actual cash received from cash sales was 35 933 and the amount indicated by the cash register total was 35 952 ournalize the entry to record the cash receipts and cash sales If an amount box does not require an entry leave it blank Cash Cash Short and Over Sales Feedback 35 933 X Check My Work Subtract actual cash from cash register tape cash If actual is less cash does not equal sales and Cash Short and Quorin

A population of beetles are growing according to a linear growth model The initial population week 0 is Po 4 and the population after 9 weeks is Pg 58 Find an explicit formula for the beetle population after n weeks P After how many weeks will the beetle population reach 130 weeks

municipal manager wants to put the system back to work as a small hydroelectric system to help supply the borough s electricity Does this idea make sense How much power could this system produce The height difference between the mill race and the tailrace is ten feet 3 meters and the stream can supply on average 100 cubic feet of water per second 2 8 m 3 sec The planned turbine would be 72 efficient under those conditions Power watts density of water height flow rate acceleration of gravity coefficient of efficiency NOTE the coefficient of gravity is 9 81 for this problem Don t round your answers Question 2 20 pts

professionals refer to science technology engineering and mathematics as the STEM disciplines A research group reported that 26 of freshmen entering college in a recent year planned to major in a STEM discipline A random sample of 90 freshmen is selected Round the answer to at least four decimal places Part 1 of 6 Is it appropriate to use the normal approximation to find the probability that less than 29 of the freshmen in the sample are planning to major in a STEM discipline It is andn 1 p 66 6 Part 1 6 appropriate to use the normal curve since np 23 4 A Part 2 of 6 10 10 Find the probability that less than 29 of the freshmen in the sample are planning to major in a STEM discipline The probability that less than 29 of the freshmen in the sample are planning to major in a STEM discipline is

Below is the sample size P is the population proportion and P is the sample proportion First check if the assumptions are satisfied to use the norma distribution for probabilities If appropriate use the Central Limit Theorem to find the indicated probability n 101 P 0 29 Part 1 of 2 It Choose one Part 2 of 2 appropriate to use the normal distribution for probabilities X

1 A 0 Smole of gas at temperature 300K expand Isothermally from an initial volume of 2 Lifes to 6 Litres what is the work done by the gas b Estimate the heat added to gas what is the final Pressure of the gas if the gas constant is said to be 8 31J molk

Question 6 A body at rest is given an initial uniform acceleration of 6 0ms2 for 25s after which the acceleration is reduced to 4 0ms for the next 15s The body maintains the speed attained for 40s after which it is bought to rest in 20s a Draw the velocity time graph of the motion b Using the graph calculate the i 11 111 iv average speed during the same interval as in iii maximum speed attained during the motion average retardation as the body is being brought to rest total distance travelled during the first 80s

A falling head permeability test gives these values L 29 73cm A area of the specimen 157 4cm a area of the vertical tube 4 61cm beginning head h 45 cm ending head h 12 cm Collected period is 5 mins Calculate the hydraulic conductivity in cm s

Form a polynomial whose zeros and degree are given Use a leading Zeros 3 2 3 degree 3 Of x x3 2x2 9x 18 f x x 2x 9x 18 f x x3 2x 9x 18 f x x3 2x2 9x 18

etween a hot and cold reservoirs at T 1800 K and T 600 K respectively Use the Clausius nequality to evaluate and classify each case as reversible possible or impossible Your onclusion has to be based on the result of the evaluation of the inequality Also for each case ndicate if there is a violation of the first and or second law of thermodynamics Case kJ s Q kJ s Wnet kW Conclusion 100 350 200 250 a b 500 500

The braking distance D v in meters for a certain car moving at velocity v in meters second is given by D v The car s velocity B t in meters second t seconds after starting is given by B t 7t Write a formula for the braking distance S 1 in meters after seconds It is not necessary to simplify s 010 B V 26

MP Reasoning When might you estimate the difference of 603 476 ar 335 291 to the nearest hundred to th nearest hundred thousand

2 REQUIRED You decide to dye your hair various colors for Halloween If you dye 1 3 of it blue 1 4 pink and 1 4 black how much of your original hair color is left 5 6 1 3 1 12 S 20

Ise the proper number of significant figures for your ans 1 Convert 36 3 mi to ft where 1 mi 5280 ft 36 3 mi x 10 ft

Part 3 of 3 2 moints Skipped eBook Print References Required information For both the Current Year and 1 Year Ago compute the following ratios 3 a Compute return on total assets for the current year and one year ago 3 b Based on return on total assets did Simon s operating efficiency improve or worsen in the Current Year versus 1 Year Ago Complete this question by entering your answers in the tabs below Required 3A Required 3B Compute return on total assets for the current year and one year ago Current Year 1 Year Agg Numerator Return On Total Assets 1 1 1 Denominator Return On Total Assets Return on total assets 0

Which of the following propositions are implied by p p q Select all that apply A p q B p V q C pe q D q E pq F P

Part 2 of 4 2 points Skipped eBook Print References Required information 2 a Compute accounts receivable turnover 2 b For each ratio determine if it improved or worsened in the current year Complete this question by entering your answers in the tabs below Required 2A Required 2B Compute accounts receivable turnover Numerator Accounts Receivable Turnover Denominator Accounts Receivable Turnover

of 4 oped Book rint rences 1 a Compute days sales uncollected 1 b For each ratio determine if it improved or worsened in the current year Complete this question by entering your answers in the tabs below Required 1A Required 1B Compute days sales uncollected Numerator Days Sales Uncollected Denominator X Days Days Sales Uncollected

KORBIN COMPANY Comparative Income Statements For Years Ended December 31 2020 295 261 186 310 Sales Cost of goods sold Gross profit Selling expenses Administrative expenses Total expenses Income before taxes Income tax expense Net income Assets Current assets Long term investments Plant assets net Total assets 2021 385 417 232 021 153 396 54 729 34 688 89 417 Liabilities and Equity Current liabilities KORBIN COMPANY Comparative Balance Sheets 66 729 63 979 42 222 11 900 8 656 52 079 33 566 December 31 Common stock Other paid in capital Retained earnings Total liabilities and equity 2021 108 951 40 746 25 983 61 956 0 116 850 178 806 2020 2019 204 900 131 136 73 764 27 047 17 007 44 054 29 710 6 031 23 679 41 467 500 106 566 148 533 22 131 64 000 8 000 54 402 26 106 64 000 8 000 80 700 178 806 148 533 2019 55 432 4 700 62 928 123 060 21 536 46 000 5 111 50 413 123 060

S Required 1 Complete the below table to calculate each year s current ratio 2021 2020 2019 Numerator 1 1 1 1 1 Current Ratio Denominator Current ratio Current ratio 0 to 1 0 to 1 0 to 1

Purchase related transactions The Stationery Company purchased merchandise on account from a supplier for 8 100 terms 2 10 n 30 The Stationery Company returned merchandise with an invoice amount of 1 100 and received full credit a If The Stationery Company pays the invoice within the discount period what is the amount of cash required for the payment b Under a perpetual inventory system what account is credited by The Stationery Company to record the return Accounts Payable Cost of Merchandise Sold Inventory Sales

In the current year Randa Merchandising Incorporated sold its interest in a chain of wholesale outlets taking the company completely out of the wholesaling business The company still operates its retail outlets A listing of the major sections of an income statement follows 1 Net sales 2 Gain on state s condemnation of company property 3 Cost of goods sold 4 Income tax expense Item 5 Depreciation expense 6 Gain on sale of wholesale business segment net of tax 7 Loss from operating wholesale business segment net of tax 8 Loss of assets from meteor strike Prepare the December 31 year end income statement Note Loss amounts should be indicated with a minus sign Net sales Expenses RANDA MERCHANDISING INCORPORATED Income Statement For Year Ended December 31 Debit 1 582 000 232 000 248 000 475 000 684 000 Credit 3 100 000 246 000 828 000 Chec

B Key Bartolomeu Dias Vasco Da Gama Christopher Columbus Ferdinand Magellan 84 54

The Institute of Education Sciences measures the high school dropout rate as the percentage of 16 through 24 year olds who are not enrolled in school and have not earned a high school credential Last year the high school dropout rate was 8 1 A polling company recently took a survey of 1 000 people between the ages of 16 and 24 and foun that 6 5 of them are high school dropouts The polling company would like to determine whether the dropout rate has decreased At a 5 significance level the decision is to Multiple Choice O do not reject Ho we can conclude that the high school dropout rate has decreased reject Ho we can conclude that the high school dropout rate has decreased do not reject Ho we cannot conclude that the high school dropout rate has decreased reject Ho we cannot conclude that the high school dropout rate has decreased

Preparing Entries for A note payable was executed by Sterling Inc and sent to Miami Finance Company Sterling Inc used 240 000 of its accounts receivable as collateral for the loan The contract provided that Miami would advance 85 of the gross amount of the receivables Sterling Inc continues to collect payments for the receivables and the cash from customers is then remitted to the finance company The cash remitted is first applied to the finance charges with the remainder applied to principal During the first month customers owing 164 000 paid cash less sales returns and allowances of 6 400 originally recorded as a refund liability The finance charge at the end of the first month was 1 400 During the second month the remaining receivables were collected in full except for 1 600 written off as uncollectible Final settlement was effected with the finance company including payment of an additional finance charge of 600 Required a Record the entry for Sterling to record the secured borrowing b Record the first month entries for Sterling to record 1 the collections and 2 the payment to Miami c Record the entries for Sterling to record 1 the collections for the second month and 2 the final payment to Miami a Cash C b Cash Note Payable To record the secured borrowing Refund Liability Account Name Accounts Receivable To record collection on receivables for first month Interest Expense Note Payable Cash To record payment to Miami for the first month Cash C V v V Allowance for Doubtful Accounts Accounts Receivable To record collection on receivables for second month Kerung Liability V Interest Expense Note Payable Dr 204 000 157 600 400 0 1 400 156 200 0 600 155 400 Cr 0 204 000 0 0 164 000 0 0 157 600 0x 0x 156 000 x Accounts Receivable To record collection on receivables for first month Interest Expense Note Payable Cash To record payment to Miami for the first month Cash Allowance for Doubtful Accounts Accounts Receivable To record collection on receivables for second month P Cash To record payment final payment to Miami 6 400 0 1 400 156 200 600 155 400 0 600 155 400 0 0 164 000 0 0 157 600 0x 0x 156 000 x 0 0x 156 000 X

Q5 10 Analyze and compare the effect of the following changes on the average earth temperature Compare each case against the base case for the earth atmosphere heat transfer model Which change has the most detrimental effect on the average earth temperature Fall 2023 1 10 increase in the transmissivity of the atmosphere in the short wavelength 2 10 increase in the absorptivity of the atmosphere in the long wavelength

Which of the following functions will correctly return the number of pie slices to be equally shared among friends def piel slices friends slices per friend slices friends return slices per friend def pie2 slices friends slices per friend slices friends return slices per friend def pie3 slices friends slices per friend slices friends return slices per friend def pie4 slices friends friend slices friends

The accompanying table gives domestic supply and demand schedules for a product Suppose that the world price of the product is 1 Quantity Supplied Domestic Price Quantity Demanded Domestic 5 2 4 4 7 12 10 7 4 1 3 2 1 O 1 unit and 15 units O 7 units and 4 units O indeterminate 11 16 With a 1 per unit tariff the quantities sold by foreign and domestic producers respectively will be

In the loanable funds market savers supply funds for loans to borrowers Because this market is crucial to the economy it is important that you understand what factors cause the demand for and supply of loanable funds to change Match four of the five factors listed on the right with the appropriate diagram on the left One factor does not match OH A Stock prices increase People become less patient Because of new technologies the productivity of machinery increases The interest rate increases Firms become more pessimistic about the

At age 22 someone sets up an IRA individual retirement account with an APR of 6 At the end of each month he deposits 30 in the account How much will the IRA contain when he retires age 65 Compare that amount to the total deposits made over the time period After retirement the IRA will contain Do not round until the final answer Then round to the nearest cent as needed

A student is taking a standardized test consisting of several multiple choice questions One point is awarded for each correct answer Questions left blank neither receive nor lose points There are 1 four options for each question and the student is penalized point for each wrong answer Is it in the student s best interest to guess Explain Determine if it is in the best interest of the student to guess and explain your answer using the expected value Choose the correct answer below Round to two decimal places as needed OA The student will have no loss or gain by guessing because the expected value is B Yes the student should guess because the expected value is OC No the student should not guess because the expected value is COLLE

Assume that 2 cards are drawn from a standard 52 card deck Find the following probabilities a Assume the cards are drawn without replacement Find the probability of drawing a ten followed by not drawing a ten b Assume the cards are drawn with replacement Find the probability of drawing a ten followed by not drawing a ten a The probability of drawing a ten followed by not drawing a ten without replacement is Simplify your answer www

Requirements 1 Complete the schedule below for the three volumes shown 2 Why does the average cost per garment change 3 Suppose the owner David Pound erroneously uses the average cost per unit at full capacity to predict total costs at a volume of 3 000 garments Would he overestimate or underestimate h total costs By how much Requirement 1 Complete the following schedule for the three volumes shown Round all unit costs to the nearest cent and all total costs to the nearest whole dollar 3 000 4 500 Garments Garments Total variable costs Total fixed costs Total operating costs Variable cost per garment Fixed cost per garment Average cost per garment 2 250 10 800 13 050 0 85 S 3 825 10 800 14 625 0 85 2 40 6 000 Garments 4 500 10 800 15 300 0 85

You want to buy a new sports coupe for 84 500 and the finance office at the dealership has quoted you an APR of 5 2 percent for a 60 month loan to buy the car What will your monthly payments be What is the effective annual rate on this loan

Assignment5 Problem 12 1 point Let X A 2 Give an example of two 2 x 2 matrices A and B neither of which is the identy matrix I such that AB X B

Use the table to the right which shows the age distribution of those who earned less than minimum wage in a recent year If a worker is randomly selected from those surveyed what is the probability that the person is older than 19 The probability that the person is older than 19 is Round to three decimal places as needed Age 16 19 20 24 25 34 35 44 45 54 55 64 65 and older Working Below Minimum Wage thousands 342 430 317 177 109 70 45

The table below summarizes a survey involving the relationship between living arrangements and grade point average for a group of students If a student is selected randomly from this group what is the probability that the student lives off campus Below 2 5 2 5 to 3 5 Over 3 5 Totals The probability is On Campus At home 98 37 62 28 18 3 178 68 Apartment 46 22 6 74 Totals 181 112 27 320 KIIR

On July 1 of Year 1 West Company purchased for cash 8 10 000 bonds of North Corporation to yield 10 The bonds pay 9 interest payable on a semiannual basis each July 1 and January 1 and mature in three years on July 1 The bonds are classified as AFS securities West Company s annual reporting period ends December 31 Assume the effective interest method of amortization of any discount or premium Note When answering the following questions round each amount to the nearest whole dollar Amortization Schedule Journal Entries and Financial Statement Presentation fo for Year 1 a Prepare a bond amortization schedule for Year 1 and Year 2 using the effective interest method Date Jul 1 Year 1 Jan 1 Year 2 s Stated Interest 05 Market Discount Bond Interest Amortization Amortized Cost 05 0 Journal Entries for Year 2 O

The above principles of mathematical modelling lead to the following steps for mathematical modelling Step 1 Identify the physical situation Step 2 Convert the physical situation into a mathematical model by introducing parameters variables and using various known physical laws and symbols Step 3 Find the solution of the mathematical problem Step 4 Interpret the result in terms of the original problem and compare the result with observations or experiments Step 5 If the result is in good agreement then accept the model Otherwise modify the hypotheses assumptions according to the physical situation and to Step 2 The above steps can also be viewed through the following diagram Let Now Physical Introduce Mathematical Situation Model Physical Laws and Symbols or Accept the Model not Modify Hypothesis Not in Good Agreement Fig A 2 1 Example 1 Find the height of a given tower using mathematical modelling Solution Step 1 Given physical situation is to find the height of a given tower Step 2 Let AB be the given tower Fig A 2 2 Let PQ be an observer measuring the height of the tower with his eye at P Let PQ h and let height of tower be H Let a be the angle of elevation from the eye of the observer to the top of the tower Solve Mathematical Interpret Solution In Good Agreement Fig A 2 2 1 Rationalised 2023 24 tan 1 PC QB AC H h PC 1 B Compare with Observation Original Problem H h H MATHEMATICAL MODELLING 199 H h 1 tan a 1 Step 3 Note that the values of the parameters h I and a using sextant are known to

Income Statement The following account balances were taken from the adjusted trial balance for Shaw Messenger Service a delivery service firm for the fiscal year ended April 30 20Y1 Depreciation Expense Fees Earned Insurance Expense Miscellaneous Expense Rent Expense Salaries Expense Supplies Expense Utilities Expense Prepare an income statement Fees earned Expenses 12 000 637 200 2 280 Shaw Messenger Service Income Statement For the Year Ended April 30 20Y1 Amount Line Item Description 4 800 91 200 320 400 4 080 34 800 Salacies expense Rent expense Utilities expense Depreciation expense Supplies expense Insurance expense Miscellaneous expense Net income Total expenses V 320 400 4 080 x 12 000 X 4 800 x 2 280 x 91 200 x 34 800 x Amount 637 200 469 560 V 167 640

a Equipment with a book value of 80 000 and an original cost of 162 000 was sold at a loss of 33 000 b Paid 118 000 cash for a new truck c Sold land costing 315 000 for 405 000 cash yielding a gain of 90 000 d Stock investments were sold for 96 300 cash yielding a gain of 17 000 Use the above information to determine cash flows from investing activities Note Amounts to be deducted should be indicated with a minus sign Answer is complete but not entirely correct Statement of Cash Flows partial Cash flows from investing activities Cash paid for new truck Cash received from the sale of equipment Cash received from the sale of land Cash received from the sale of stock investments Net cash provided by investing activities 33 000 X 33 000 X 405 000 17 000 X 488 000 Return t

ces a Equipment with a book value of 80 000 and an original cost of 162 000 was sold at a loss of 33 000 b Paid 118 000 cash for a new truck c Sold land costing 315 000 for 405 000 cash yielding a gain of 90 000 d Stock investments were sold for 96 300 cash yielding a gain of 17 000 Use the above information to determine cash flows from investing activities Note Amounts to be deducted should be indicated with a minus sign Statement of Cash Flows partial Cash flows from investing activities

D ok nt nces Common stock 12 par value Paid in capital in excess of par value common stock Retained earnings In the fourth quarter the following entries related to its equity are recorded Date October 2 October 25 October 31 November 5 December 1 December 31 General Journal Retained Earnings Common Dividend Payable Common Dividend Payable Cash Retained Earnings Common Stock Dividend Distributable Paid In Capital in Excess of Par Value Common Stock Common Stock Dividend Distributable Common Stock 12 Par Value Memo Change the title of the common stock account to reflect the new par value of 4 Income Summary Retained Earnings Common stock Common stock dividend distributable Paid in capital in excess of par common stock Retained earnings September 30 Beginning Balance 480 000 90 000 360 000 Required 2 Complete the following table showing the equity account balances at each indicated date 480 000 90 000 360 000 Debit 80 000 80 000 67 000 32 000 220 000 Credit 80 000 80 000 32 000 35 000 32 000 220 000 October 2 October 25 October 31 November 5 December 1 Check my December 31

1 1 42 points Check my work mode This shows what is correct or incorrect for the work you have completed so far It does not indicate completion Rodriguez Corporation issues 19 000 shares of its common stock for 212 500 cash on February 20 Prepare journal entries to record this event under each of the following separate situations 1 The stock has a 10 par value 2 The stock has neither par nor stated value 3 The stock has a 5 stated value No A B C Transaction 1 2 3 Cash Common stock 10 par value Paid in capital in excess of par value common stock Cash Answer is complete but not entirely correct General Journal Common stock no par value Cash Common stock 5 stated value Paid in capital in excess of stated value common stock 333 33 Debit 212 500 212 500 212 500 Credit 125 000x 87 500 212 500 Return to question 62 500x 150 000 x

es Required information The following information applies to the questions displayed below Year 1 total cash dividends Year 2 total cash dividends Year 3 total cash dividends Year 4 total cash dividends Annual Preferred Dividend Year 1 Year 2 Year 3 Year 4 Totals York s outstanding stock consists of 60 000 shares of cumulative 8 0 preferred stock with a 5 par value and also 280 000 shares of common stock with a 1 par value During its first four years of operation the corporation declared and paid the following total cash dividends Note Round your Dividend per Preferred Share answer to 3 decimal places Par Value per Preferred Share Total Cash Dividend Paid 13 200 22 000 240 000 390 000 13 200 22 000 240 000 390 000 665 200 Dividend Rate Paid to Preferred Dividend per Preferred Share Paid to Common Number of Preferred Shares Dividends in Arrears at year end Check my worl Preferred Dividend

7 48 pints mode This shows what is correct or incorrect for the work you have completed so far It does not indicate completion Prepare a statement of retained earnings for Tidal Company for the current year ended December 31 using the following data Note Amounts to be deducted should be indicated by a minus sign Cash dividends declared and paid in current year Retained earnings at December 31 prior year Net income in current year Answer is complete but not entirely correct Tidal Company Statement of Retained Earnings For Current Year Ended December 31 Retained earnings December 31 prior year Plus net income Less cash dividends declared and paid Retained earnings December 31 current year 63 200 3 200 x 36 200 X 30 200 Help 9 600 63 200 36 200 Save Exit Submit Return to question