Math - Others Questions

On 5 of 13 Macmillan Learning 4 Assume s is an angle with sin s t is an angle with cos t 7 Resources cot ts 2 and both angles are between 0 and 3 Use this information together with appropriate identities to calculate cot f s Give an exact answer Use symbolic notation and fractions where needed T 2 Check

9 Determine the domain and range of the graph of each function a c 6 4 2 y f x 2 y 0 X 2 2 y N 4 2 0 2 2 4 y h x b d 4 N lo 0 y 2 0 y j x y g x N

6 Which of these graphs represents a function Justify your answer a 2 2 0 2 y 1 2 X b 2 2 0 2 y X 1 2 X xl

O Macmillan Learning Complete the passage to determine whether the function f t sin t cos t is even or odd Therefore the function is

4 List the domain and the range of the graph of each function a 4 c N 24 4 2 0 y 2 y 3 1 4 X b 4 2 4 2 O 2 4 y 2 X

Complete the passage to express the cosine in terms of the cotangent and the sine cos t cos 1 sin t 1 cos x sin 1 cos t 1 sin x X

Verify the cofunction identity c 1 2 1 sec Refer to the triangle in the figure 2 C csc t T a Fill in the blank to prove the given identity sec t csc t

Use the definitions of the trigonometric functions to establish the given basic identity 1 cot 1 Refer to the triangle in the figure tan 1 Complete the passage to prove the given identity 1 cot t tan t

Fill in the blanks to show that the identity 1 sin a Suggestion Multiply the left side by 1 sin a 1 sin a 1 sin a 1 1 sin a 1 sin a 1 sin a 1 1 sin a 1 sin a 1 sin a 1 sin a 1 sin a 1 1 sin a 1 sin a 1 sin a 1 1 sin a a cos a 1 sin a is true cos a 1 sin a

in the blanks to express sec t in terms of sin t if cos t is negative t 1 cos t sin t cos t 1 sin t cos t sin t

9 and the trigonometric point P a is in the third quadrant Use a trigonometric identity to find cos a 10 Express numbers in exact form Use symbolic notation and fractions where needed Suppose sin a cos a

Macmillan Learning Use the definitions of the trigonometric functions to establish the basic identity 1 cos t sec 1 Refer to the triangle in the figure C Fill in the blanks to prove the given identity 1 cos t sec t

Fill in the blanks to determine whether the function f t tan t sin t is even or odd Therefore the fu tan t sin t tan t sin 1 tan t sin 1 tan t sin t

For the given function f z find the derivative a at the given point a first finding b a f x 92 8x 29r a 30 f a

Percent of sales method At the end of the current year Accounts Receivable has a balance of 450 000 Allowance for Doubtful Accounts has a credit balance of 4 000 and sales for the year total 2 030 000 Bad debt expense is estimated at 1 4 of 1 of sales a Determine the amount of the adjusting entry for uncollectible accounts 5 075 V b Determine the adjusted balances of Accounts Receivable Allowance for Doubtful Accounts and Bad Debt Expense Accounts Receivable 450 000 V Allowance for Doubtful Accounts Bad Debt Expense c Determine the net realizable value of accounts receivable Feedback X 5 075 Check My Work a Remember that since accounts receivable are created by credit sales uncollectible accounts can be estimated as a percent of credit sales If the portion of credit sales to sales is relatively constant the percent may be applied to total sales b Under the percent of sales method the amount of the adjustment is the amount estimated for Bad Debt Expense c Remember that net realizable value is the amount that is expected to be collected or realized

Valley Designs issued a 90 day 8 note for 54 000 dated April 15 to Bork Furniture Company on account Assume 360 days in a year when computing the interest a Determine the due date of the note July 14 b Determine the maturity value of the note Feedback Check My Work c1 Journalize the entry to record the receipt of the note by Bork Furniture If an amount box does not require an entry leave it blank 88 Notes Receivable Accounts Receivable Valley Designs Feedback Check My Work

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

Percent of sales method At the end of the current year Accounts Receivable has a balance of 450 000 Allowance for Doubtful Accounts has a credit balance c 4 000 and sales for the year total 2 030 000 Bad debt expense is estimated at 1 4 of 1 of sales a Determine the amount of the adjusting entry for uncollectible accounts b Determine the adjusted balances of Accounts Receivable Allowance for Doubtful Accounts and Bad Debt Expense Accounts Receivable Allowance for Doubtful Accounts Bad Debt Expense c Determine the net realizable value of accounts receivable

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

Journalize each of the following petty cash transactions a Issued a check to establish a petty cash fund of 650 If an amount box does not require an entry leave it blank Petty Cash Cash Feedback Store Supplies 650 Check My Work a Recall that the only time Petty Cash is used is when the fund is initially established or increased Feedback b The amount of cash in the petty cash fund is 210 Issued a check to replenish the fund based on the following summary of petty cash receipts store supplies 258 and miscellaneous selling exper Record any missing funds in the cash short and over account If an amount box does not require an entry leave it blank 650 Miscellaneous Selling Expense Cash Short and Over Cash 258 163 0000

Bank reconciliation The following data were accumulated for use in reconciling the bank account of Creative Design Co for August 20Y6 1 Cash balance according to the company s records at August 31 14 600 2 Cash balance according to the bank statement at August 31 15 480 3 Checks outstanding 2 960 4 Deposit in transit pot recorded by bank 2 380 5 A check for 480 in payment of an account was erroneously recorded in the check register as 840 6 Bank debit memo for service charges 60 a Prepare a bank reconciliation using the format shown in Exhibit 13 Creative Design Co Bank Reconciliation August 31 2016 Line Item Description Cash balance according to bank statement Add Deposit in transit on August 31 Deduct Outstanding checks Adjusted balance Cash balance according to company s records Add Error in recording check Deduct Bank service charge Adjusted balance Feedback Check My Work 100000000 Amount b If the balance sheet were prepared for Creative Design Co on August 31 what amount should be reported for cash

ach of the following petty cash transactions a Issued a check to establish a petty cash fund of 650 If an amount box does not require an entry leave it blank 88 Petty Cash Cash Feedback Check My Work b The amount of cash in the petty cash fund is 210 Issued a check to replenish the fund based on the following summary of petty cash receipts store supplie and miscellaneous selling expense 163 Record any missing funds in the cash short and over account If an amount box does not require an entry leave it blan Store Supplies Miscellaneous Selling Expense Cash Short and Over

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

Bank reconciliation The following data were gathered to use in reconciling the bank account of Reddan Company Balance per bank 19 000 Balance per company records 9 680 Bank service charges 20 Deposit in transit 2 700 Note collected by bank with 120 interest 5 100 Outstanding checks 6 940 a What is the adjusted balance on the bank reconciliation Feedback Check My Work b Journalize any necessary entries for Azalea Company based on the bank reconciliation If an amount box does not require an entry leave it E Miscellaneous Expense Cash 88

2 A car was purchased for 16 700 Assume that it depreciates in value by 5 4 per year a 4 pts Find a function V that models the value of the car after t years h 4 pts Use the function to estimate the value after 3 years and 7 years

Entry for cash sales cash over The actual cash received from cash sales was 10 428 and the amount indicated by the cash register total was 10 402 Journalize the entry to record the cash receipts and cash sales If an amount box does not require an entry leave it blank E Cash Sales

3 6 pts If 5 000 is invested at an interest rate of 2 3 per year compounded monthly find the value of the investment at the end of the given number of years Round your answers to the nearest cent a 2 years b 3 years c 6 years

4 6 pts If 6 000 is invested at an interest rate of 4 1 per year compounded quarterly find the amount due at the end of the given number of years Round your answers to the nearest cent a 4 years b 6 years c 8 years

Gaspar also rides a scooter He travels 2 ft farther for every 1 second than Paloma does What is Gaspar s ratio of feet traveled to seconds traveled Show your work

FitTime produces two types of exercise treadmills Regular and Deluxe The exercise craze and related demand is such that FitTime could use all of its available machine hours producing E The two models are processed through the same production department Click the icon to view the data What product mix will maximize operating income Hint Use the allocation of fixed manufacturing overhead to determine the proportion of machine hours used by each product Prepare the product mix analysis FitTime Product Mix Analysis Sale price per unit Variable costs per unit Contribution margin per unit Units produced with equivalent number of machine hours Contribution margin for equivalent number of machine hours Deluxe 1 010 775 235 1 235 Regular 580 447 133 3

An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic Step 2 of 2 Suppose a sample of 675 new car buyers is drawn Of those sampled 270 preferred foreign over domestic cars Using the data construct the 90 confidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars Round your answers to three decimal places Answer How to enter your answer opens in new window Tables Keyboard Previous st

Refer to the accompanying data display that results from a sample of airport data speeds in Mbps The results in the screen display are based on a 95 confidence level Write a statement that correctly interprets the confidence interval Choose the correct answer below TInterval 13 046 22 15 x 17 598 Sx 16 01712719 n 50 O A We have 95 confidence that the limits of 13 05 Mbps and 22 15 Mbps contain the true value of t mean of the population of all data speeds at the airports OB The limits of 13 05 Mbps and 22 15 Mbps contain 95 of all of the data speeds at the airports OC The limits of 13 05 Mbps and 22 15 Mbps contain the true value of the mean of the population of all data speeds at the airports D We have 95 confidence that the limits of 13 05 Mbps and 22 15 Mbps contain the sample mean of the dots

The figure below shows the distribution of elevation in miles across the earth s surface Positive elevation denotes land above level negative elevation shows land below sea level that is the ocean floor fraction of earth s surface per mile of elevation 2 Adapted from D Freedman R Pisani R Purves and A Adikhari Statistics 2nd Edition New York Norton 1991 Your answer is incorrect elevation miles a Select each correct description of the elevation of most of the earth s surface Much of the earth s surface is either around 3 miles below sea level or exactly at sea level O It appears that essentially all of the surface is between 4 miles below sea level and 2 miles above sea level Most of the earth s surface is above sea level O Very little of the surface is around 1 mile below sea level O It appears that essentially all of the surface is between 4 miles below sea level and sea level O Most of the earth s surface is below sea level O Much of the earth s surface is either around 4 miles below sea level or 1 mile below sea level eTextbook and Media Your answer is incorrect

Determine whether the statement makes sense or does not make sense and explain your reasoning The death rate from this new strain of flu is catastrophic because 25 of the people hospitalized with the disease have died Choose the correct answer below GELEE OA This makes sense because the percentage of the hospitalized people is less than 50 OB This does not make sense because it is not clear whether the facts are derived from a sample of patients which is representative of the entire population of the patients suffering from th disease OC This makes sense because the sample of patients is representative of the entire population of patients suffering from the disease OD This does not make sense because the percentage of the hospitalized people is less than 50

Use the display of data to find the mean median mode and midrange Round to the nearest tenth as needed R The mean of the data is The median of the data is Round to the nearest tenth as needed Select the correct choice below and if necessary fill in the answer box to complete your choice OA The mode of the data is Use a comma to separate answers as needed OB There is no mode for the given data The midrange of the data is MEER Round to the nearest tenth as needed 8 9 10 11 12 13 14 15 Score

Solve the given equation Enter your answers as a comma separated list Let be any integer Round terms to three decimal places where appropriate If there is no solution enter NO SOLUTION 2 sin 20 3 sin 0 0 80 cos 3 X

Kasper s puppy ran out of the house It ran 18 meters turned and ran 23 meters and then turned 140 to face the house How far away from the house is Kaspers puppy Round to the nearest bundredth

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

OTES A graphing calculator is recommended hundred thousand dollars x years The value of a suburban plot of land being considered for rezoning is assessed at 4 2e0 014x from now Find the average value in dollars over the next 10 years year 0 to year 10 Round your answer to the nearest whole number 700 000 X

2 2 points Assume three real numbers between 0 and 1 are chosen randomly What is the probability their sum is greater than Answer the question by writing an iterated integral and evaluating it Hint think of the event set that the sum of three variables is less than 1

Monday 1 Find the number that makes an equivalent fraction 6 12 10 20 3 Find the number that makes an equivalent fraction 5 50 76 7 D 5 Shade in the equivalent fraction and answer 6 with shaded fraction 1x3 2 represent an equivalent in 000 2 Fill in the missing equivalent fraction 12 3 4 5 6 59 10 7 14 21 28 35 42 04 29 1 25 6 729 2 Answers 20 4128

World consumption of antimony used in flame retardants and batteries is running at the rate of 137e0 013t thousand metric tons per year where t is the number of years since 2012 a Find a formula for the total amount of antimony consumed within t years of 2012 Round your coefficients to three decimal places C t b If consumption continues at this rate when in years since 2012 will the known resources of 2 100 thousand metric tons of antimony be exhausted Round your answer to one decimal place years t

Tuesday 1 Find the number that makes an equivalent fraction 16 3 18 3 Find the number that makes an equivalent fraction 36 5 30 5 Shade in the equivalent fraction and answer with shaded fraction 2x216x2 2 7 Determine which letter best represents an equivalens fraction 1 18 20 2 Fill in the missing equivalent fraction 48 16 20 24 9 18 36 45 54 4 2 786 6 9311 FF 2x100 200 2x 2 3 5 6 7 Answe

5 Shade in the equivalent fraction and answer with shaded fraction 1x3 2x3 2 D 6 6729

5 1 For the purpose of evaluating the impact damage of soybeans striking a steel wall it can be assumed that the collision is elastic The modulus of elasticity units of Pa of the soybean can be estimated from the equation In E 20 12 0 55 In M 0 87 where M is the moisture content in percent wet basis Equation for E taken from Misra and Young 1981 a Estimate the maximum force which would be experienced by a soybean of average weight and density having a moisture of 13 w b when it impacts a solid wall at velocities of 1 3 and 5 m s Assume the Poisson s ratio of the soybean is 0 35 Solution hints Calculate the E value using the above equation Remember to use 13 instead of 0 13 for the M value in the equation The young s modulus of steel is much larger than that of the soybean as a result k2 0 The major diameter intermediate diameter and minor diameter of soybean are 7 29 6 43 and 5 38 mm The average of the minor and intermediate diameter 5 905 mm can be used for the value D

2a How much money would need to be deposited today in order to grow to 50 000 in an account earning 3 5 compounded quarterly after 20 years Round to the nearest cent 2b How long would it take for a deposit of 10 000 to triple if placed into an account paying 2 75 interest compounded continuously Round your answer to one decimal place

Use Newton s method with initial approximation x 2 to find x2 the second approximation to the root of the equation x x 7 0 Round your answer to four decimal places x2

Use Newton s method with the specified initial approximation x to find x3 the third approximation to the root of the given equation Round your answer to four decimal places x5 x 7 0 x 1 x3