Math - Others Questions

c Determine the position of any maximum and minimum points of the function y 2t 3 Show your work 6 m

Raina wants to save money to purchase a car She buys an annuity with monthly payments that earn 2 interest compounded monthly Payments will be made at the end of each month Find the total value of the annuity in 6 years if each monthly payment is 260 Do not round any intermediate computations and round your final answer to the nearest cent If necessary refer to the list of financial formulas X

Chau plans to set aside money for his young daughter s college tuition He will deposit money in an ordinary annuity that earns 3 6 interest compounded monthly Deposits will be made at the end of each month How much money does he need to deposit into the annuity each month for the annuity to have a total value of 71 000 after 14 years Do not round intermediate computations and round your final answer to the nearest cent If necessary refer to the list of financial formulas 0

Use the formula S P 1 r to complete parts a and b a Graph the function that gives the future value of 70 000 invested at 5 compounded annually for t years Osts 12 b Find the future value of 70 000 invested for 15 years at 5 compounded annually a Choose the correct graph below 150000 Q b The future value is Round to the nearest cent as needed a 150000 Q Q 0 0 AS 150000 Q Q e

Gordon Sports Authority purchased inventory costing 24 000 by signing a 10 six month short term note payable The purchase occurred on June 1 2021 Gordon will pay the entire note principal and interest on the note s maturity date of December 1 2021 Journalize the company s a purchase of inventory and b payment of the note plus interest on December 1 2021 Record debits first then credits Exclude explanations from any journal entries a Journalize the company s purchase of inventory Date 2021 Journal Entry Accounts CITE Debit Credit

Find the sum of the first 23 terms of the sequence 4 3 10 Sho your work

ii Is 8 8 mod 5 Show your work

d A committee of 3 persons is to be constituted from a group of 2 men and 3 women In how many ways can this be done How many of these committees would consist of 1 man and 2 women Show your work 4 mar

a i What is 10110110 in Hexadecimal Show your work

a i Evaluate sin 105 using the formula sin A B show your work ii Find the solutions to sin x 0 9 for the interval 0 x 360 4

f Find the following i How many 3 digits numbers can be formed by using the digits 1 3 6 and 8 when the digits may be repeated any number of times ii In how many different ways can the letters of the word OFFICES be arranged Show your work

Ravi wants to save money to open a tutoring center He buys an annuity with a quarterly payment of 51 that pays 3 4 interest compounded quarterly Payments will be made at the end of each quarter Find the total value of the annuity in 10 years Do not round any intermediate computations and round your final answer to the nearest cent If necessary refer to the list of financial formulas s

e Decide which system has non trivial solutions we say that the system has a non trivial solution if the determinant of the matrix is zero Show your working i 4x y 0 2x 3y 0 ii x 2y 0 3x 6y 0

p Show whether the following function is continuous or discontinuous If it is find the point points of discontinuity of the function discontinuous f x for a 1 0 for x 1 2 x 1 for a 1

n 1 Is an 2n 1 If yes find a a2 a3 3 8 5 9 a general term of a geometric or arithmetic sequence O None of the other options are correct

7 Solve the equation 32 1 36 2 O x 4 0x 0x 0x 1

10 If 2 sin 6 cos 6 cos 0 sin 6 03 02 1 1 then the value of cot is

6 What is the inverse function of k x Ok x y 7 1 2y Ok x 1 2y 7 4 k x 721 Ok x 2 1 2z 7 x

8 If 5x 4 mod6 what is the least positive value of x O 3 05 O None of the other options are correct

Let y Find dy da tan x O sec x 2 tan x sec x O2sec x O2 tan x

4 Find the determinant of the matrix A 2 2 3 1 0 1 4 5 1 4 5 49 O None of the other options is correct 51

Is f RR defined by f x 2x 3 a bijective function O it is an injective function but not surjective O it is not an injective function and not a surjective O it is not an injective function but it is a surjective O it is a bijective function

Find the answer for the multiplication of the following 3 1 0 2 O 01 1 1 3 1 n 21 0 2 06 02 O Not possible to find this multiplication one of th th

1 A function f is said to be onto surjective if and only if O the range of f is a subset to the co domain of f O the range of f is equal to the domain of f the range of f is equal to the co domain of f O f a f b for all a and b in the domain of f 0 10

For each of the situations listed identify which of three principles integrity objectivity and independence or due care from the AICPA Code of Professional Conduct is violated Assume all persons listed in the situations are members of the AICPA Note Refer to the AIC Code of Professional Conduct a Lance recently graduated with an accounting degree and found a job in the payables department of Sawyer Sneaker Company Lance is in charge of adjusting entries for accrued liabilities that have been paid but he does not remember how to treat these because he has not seen them since one of his courses from his junior year in colle Lance assumes the accrued liabilities for this month are the same amounts as last r so he does not enter in the new accrual entries for this month and does not reverse Due care last month s entries b Frankie Candle Co is a small family owned company that only employs one accour Jenny Since Jenny is in charge of all areas of accounting and knows she will not get caught she decides to create fictitious accounts payable entries at Frankie Can for the company she owns Candle Supply Inc Principle from the AICPA Code of Professional Conduct that is violated c April is a newly hired auditor for Penny Blake a CPA firm Her father owns E E Vevermary Supply April is excited to be assigned to work on the account of E E since she understands the business well from working part time during summers there when she was growing up April does not disclose that her father owns E E because she knows she will not have any bias d Anne works in the payables department of Yellow Steel Inc She noticed that her company s current ratio is a little lower than the industry average In an attempt to improve the current ratio she decides not to accrue wages payable for this month Integrity Objectivity and independence

2 x 6 5x b

To help pay for new costumes for a play a theater invests 1600 in a 30 month CD paying 2 3 interest compounded monthly Determine the amour receive when it cashes in the CD after 30 months The theater will receive Round to the nearest cent as needed when it cashes in the CD

Choose two of the three figures below For each figure you choose draw a scaled copy using the given scale factor so that corresponding side lengths form equivalent ratios Figure M Scale Factor 2 Figure N Scale Factor 1 W Figure P Scale Factor M 2

Fill in the blank to make an equivalent ratio 72 64 9 3 5 7 9 7 8 14 12 7 14 6 4 3 4 2 20 1 63 13 18 27 7 2 19 12 15 1 16 15 15 3 1 17 14 1 2 45 2 2 6 14 4 32 6 30 36 8 1 2 12 24 5 10 6 12 5 14 6 18 11 16 4 20 6 2 1 4 12 18 18 30 9 12 30 24 6 54 27 18

A building was bought for 190 000 and sold 11 years later for 320 000 What interest rate compounded continuously was earned on the investment K To find the interest rate earned on this investment use the formula for continuous compound interest where A is the final amount P is the initial amount r is the interest rate and t is the time period What is the formula for continuous compound interest OA A Pet OB A OC A Pert OD A P elt r mt Substitute the given values of A P and t into the formula Do not include the symbol in your answer What is the next logical step to solve this equation for r CIE O A Divide both sides of the equation by er 11 OB Take the natural log of both sides of the equation OC Divide both sides of the equation by 320 000 OD Divide both sides of the equation by 190 000 Apply the next logical step found above and continue the calculations to solve for r

2 Let f and g be defined as in the previous example Express the following functions as the sum difference quotient or product off and g a P x x x 4 Q x x 2x 9 b x 5 c R x d S x e T x 2x 2 x x 4 x 5 x 4x 11x 30 x 1

Buckeye has an annual payroll of 170 000 In addition the company incurs payroll tax expense of 9 of the annual payroll At December 31 Buckeye owes salaries of 7 800 and FICA and other payroll tax of 850 The company will pay these amounts early next year Requirement 1 Show what Buckeye will report for the foregoing on its income statement for the year and on its year end balance sheet If an input fiel is not used in the table leave the field empty do not select a label or enter a zero Start with the income statement Income Statement Account Amount

Listen PROBLEM SOLVING The table shows the annual profits in thousands of dollars of a county fair from 2013 to 2016 What must the 2017 profit be in hundreds of dollars to break even over the five year period Profit thousands of dollars Year 2013 2014 2015 2016 2017 2 5 1 4 3 3 1 4 period

Homework Directions Solve each problem below showing ALL work and using MCLE for all word problems Problem 1 644 8 26 2 Find the Lesson 18 Dividing Decimals by Wholes quotient of 185 92 and 56 Solve 3 A high school track is 9 76 meters wide It is divided into 8 lanes of equal width for track and field events How wide is each lane Check 4 In a dozen eggs there are 7 2 milligrams of iron How many milligrams of iron are in each egg

2 of 2 On July 23 of the current year Dakota Mining Company pays 6 424 080 for land estimated to contain 9 048 000 tons of recoverable ore It installs and pays for machinery costing 1 447 680 on July 25 The company removes and sells 464 500 tons of ore during its first five months of operations ending on December 31 Depreciation of the machinery is in proportion to the mine s depletion as the machinery will be abandoned after the ore mined Required Prepare entries to record the following a The purchase of the land b The cost and installation of machinery Work you have completed so far It does not indicate completion c The first five months depletion assuming the land has a net salvage value of zero after the ore is mined d The first five months depreciation on the machinery Required A Required B Required C1 Answer is not complete Complete this question by entering your answers in the tabs below Required C2 Required D1 Required D2 Record the first five months depreciation on the machinery Note Round your Depreciation per ton answer to 2 decimal places and round all other answers to the nearest whole dollar Select formula for Units of Production Depreciation Return to question

Q2 Assume that Shannon s decides to move forward with its loyalty rewards program Estimates for the cost per customer are 3 2 per month Average customer margins before subtracting off the cost of the loyalty rewards program are expected to be 36 per customer per month with a boost in retention to 82 per month What is the resulting CLV if the annual interest rate for discounting cash flows remains the same as in Q1 Compute your answer to the nearest dollar

Q1 Shannon s Brewery currently boasts a customer base of 1 750 customers that frequent the brewhouse on average twice per month and spend 31 per visit Shannon s current variable cost of goods sold is 50 of sales The customer retention rate per month is 0 75 based on data collected from its website and an analysis of credit card receipts Its current cost of capital for borrowing and investing is about 12 per year or 1 per month What is Shannon s approximate CLV for its average customer Compute your answer to the nearest penny

2 A road has an elevation change of 23 2 feet in the horizontal distance of 1400 feet What is the grade of the road in percent 3 points

Use this information to answer Parts A and B In a random sample of 60 seniors at a high school the mean weekly time spent on homework is 8 5 hours The population standard deviation for weekly homework time is 0 75 hour Part A What is a 90 confidence interval for the mean weekly time u spent on homework for all seniors at the high school Round your answers to two decima places as needed Enter the correct values in the boxes to complete the confidence interval Show Hints

The influence of the Russian Revolution of 1917 There was a striking similarity in the position of Russia and China In the early twentieth century Both countries had recently been defeated by Japan both were trying to come to terms with the need for economic and political modernisation and both were pour relations when compared with the advanced wealth producing nations of Western Europe and the USA The was therefore much about Russia that appealed to Chinese revolutionaries rekemers This attraction was intensified when the Chinese learned of the Bolshevik success in the October Revolution Chinese intellectuals wrote admitingly the achievements of Lenin and the Bolsheviks in taking power and establie a workers state Admiration increased when the Chinese learned of the Bolsheviks defest of the foreign interventionists in Russia in the period 1918 20 Here was a living example of the overthrow of Western imperiali made mare impressive by the fact that the nations which the Bolsheviks hi repelled were the very same as those currently occupying China The revoluticeary ideas of Karl Marx had been known in China since the beginning of the century but what gave them special appeal was the appa failure of the 1911 Revolution and of the republic that folkwed to advanc China s cause Disallusioned Chinese radicals turned impatiently away fro what they regarded as the failure of democracy in China They were draw instead to another Western philosophy but this time one that had been r by the West The fear with which the imperialist nations regarded Marxis it an added attraction for Chinese Nationalists To the young intellectuals who became drawn to Marxist ideas the great inspiration therefore was the successful October Revolution in Russia in They could now observe Marxism in action in anti imperialist and anti Russia The rejection of Western values impact in the Bolshevik Revolut appealed greatly to Chinese revolutionaries for whom the main attract of Marxism Leninism was its explanation of the imperialist phase of apitalism the mess which had led to China s current humiliation a

13 Why were Chinese progressives so impressed by the Russian Revolution

1 to 109 1768 Section S 37 55 41 92 92 Lines a b c and d intersect as shown Part A Which lines are parallel Use a theorem or property to justify your answer Part B Find the values of x y and z Explain how you found aggh

R VE 2 7 8 ty P q 20 16 12 8 5 0 6 15 3 5 10 5 8 X 0 2 In the graph to the right identify a pair of

4 What is the slope of a line parallel to the line y 3x 4 46 51 yo 38

In the figure to the right what are the values of x and y

What is the equation of a line that is perpendicular to the line y 2x 1 and passes through the point 4 6

2 x 1 3x 5

3 The value of x solve for the variable 3214 Sellect all the correct answers x 3 x X x log 5 log 3 log 3 log 5 3 1 46 0 68

1 Is the following sequence convergent or divergent 3 2n 5n 3n 2 An O Converges to 0 O Converges to 2 3 O Diverges Converges to 5 2

5 Find the relating angle to the given one Related sin 240 to the sine of an angle of the first quadrant Select all correct statements The angle 240 is in quadrant III Its related angle is 30 sin 240 sin 240 180 The angle 240 is in quadrant III Its related angle is 60 The angle 240 is in quadrant III Sine is positive in quadrant III 3 sin 240 sin 60 and so sin 240 3 2 The angle 240 is in quadrant IV Sine is negative in quadrant IV sin 240 sin 60 and so sin 240 3 The angle 240 is in quadrant III Sine is negative in quadrant III