Math - Others Questions

A cross section of a tunnel is parabolic The tunnel is 25 feet high in the middle and the tunnel is 30 feet wide a Can a semi truck that is 14 feet tall and 10 feet wide pass through the tunnel in its ow lane if there is a two lane road going through the tunnel Enter yes or no b What is the height of the tunnel at the potential problem spot feet Round to the nearest tenth

Find the present value of the given future amount Assume 360 days in a year 97 682 for 296 days at 5 8 simple interest What is the present value Round to the nearest dollar as needed

You deposit 200 in an account earning 6 interest compounded annually How much will you have in the account in 20 years

Price at which the item is sold 47 60 Part 1 of 4 a Write a linear cost function that represents the cost C x to produce x items The linear cost function is C x 3776 35 80x Alternate Answer C x 35 8x 3776 Part 1 4 Part 2 of 4 b Write a linear revenue function that represents the revenue R x for selling x items

Introduction In the third century B C King Hieron of Syracuse asked the famous mathematician Archimedes to determine if his crown was made of pure gold This was a puzzling problem for Archimedes he knew how to measure the weight of the crown but how could he measure the volume Archimedes solved the problem when he got into his bath and noticed the water spilling over the sides of the tub He realized that the volume of the displaced water must be equal to the volume of the object placed into the water Archimedes was so excited by his discovery that he jumped out of the bath and ran through the streets shouting Eureka Question How can you tell if a crown is made of solid gold 1 Think about it Gold is one of the densest substances known with a density of 19 3 g cm If the gold in the crown was mixed with a less valuable metal like bronze or copper how would that affect its density 2 Observe Drag each of the crowns into the liquid Based on what you see which crown do you think is densest Explain why you think so

The table below shows all possible outcomes when three fair coins are tossed First Second Third coin coin coin H H T H H T T T T H H T T H H T T H T H T H T Which of the following statements must be true There may be more than one answer Select one a The probability of getting exactly one tails is the same as the probability of getting exactly three heads b The probability of getting at least one heads is the same as the probability of getting at least two heads O c The probability of getting exactly two heads is 8 d The probability of getting all tails is the same as the probability of getting two heads

The hourly wages for three different people over three years are shown in the chart below Money earned per hour Dollars 16 00 14 00 12 00 10 00 8 00 6 00 4 00 2 00 S Year 1 Year 2 Year 3 Person 1 Person 2 Person 3 Which statement is true based on this information Select one a Person 2 earns more money in year 1 than Person 1 earned in any of the three years b Person 3 earns the most money every year c Person 3 earns twice as much money as Person 1 in the third year d Person 1 earns more money each year

A pizza shop offers a special on a 2 topping pizza from a list of three items The chart below shows all possible pizza combinations Pizza Topping 1 Pepperoni Ham Sausage Pepperoni PP PH PS Ham HP HH HS Sausage SP SH SS If a person randomly chooses the items on his pizza what is the probability he chooses a pizza with double pepperoni Pizza Topping 2 Select one 11 12 O a b 1 C 1 3

The graph below shows the number of free throws made by five players on a basketball team What was the total number of free throws made during Week 2 Free Throws 10 9 8 2 1 0 Weekly Free Throw Numbers for Players b 6 Player1 Player 2 Player 3 Player 4 Player 5 Week 1 Week 2 Week 3 Select one a 24 c 30

Which equation describes the line that passes through the giver points on the graph Select one y 5 a y x 3 c y b y 4x 1 3x d y x 1 5 H

Which equation describes the graph of the line below Select one a x 4 b y 3 c x 0 d y 4 0 4 3 4 I

inomial s tossed 484 times Use the normal curve approximation to find the probability of obtaining reen 226 and 254 heads inclusive ctly 245 heads er than 216 or more than 269 heads probability is to four decimal places as needed Standard Normal Distribution Table Page 2 08 09 07 00 05 04 03 0 5359 02 0 5319 0 5279 01 00 0 5160 0 5199 0 5239 0 5080 0 5120 0 5040 0 5636 0 5675 0 5714 0 5753 0 5596 0 0 0 5000 0 5517 0 5557 0 5478 0 6103 0 6141 0 6064 0 0020 0 5 438 0 5398 0 5087 0 1 0 5910 0 5948 0 6480 0 6517 0 6443 0 6406 0 5832 0 5871 0 6368 0 5793 0 6879 0 2 0 6331 0 6293 0 6844 0 6179 0 6217 0 6255 0 3 0 6700 0 6736 0 6772 0 6808 0 6664 0 0028 0 6501 0 4 0 6554 0 7019 0 7054 0 7088 0 7123 0 7157 0 7190 0 7224 0 6985 0 6950 0 6915 0 5 0 7324 0 7357 0 7389 0 7422 0 7454 0 7486 0 7517 0 7549 0 7291 0 8133 0 6 0 7257 0 8078 0 8106 0 7642 0 7673 0 7704 0 7731 0 7764 0 7794 0 7823 0 7852 0 7611 0 7 0 7580 0 8340 0 8365 0 8389 0 7939 0 7967 0 7995 0 8023 0 8051 0 7910 0 8 0 7881 0 8621 0 8599 0 8577 0 8212 0 8238 0 8261 0 8289 0 8315 0 8186 0 8554 0 8159 0 8830 0 8810 0 8770 0 8790 0 9015 0 8997 0 8413 0 8062 0 8980 0 9162 0 9 1 0 1 1 0 8438 0 8065 0 8485 0 8508 0 8531 0 8729 0 8749 0 8708 0 8643 1 2 0 8849 0 8869 0 8461 0 8686 0 8925 0 8944 0 8888 0 8007 0 9115 0 9082 0 9099 0 9265 0 9251 0 9236 1 3 0 9032 0 0049 0 9131 0 9147 0 9177 0 500 0 9222 0 9192 0 9207 0 9279 0 9292 0 9306 0 9319 1 4 0 9345 0 9332 1 5 1 0 0 9452 0 9463 0 9357 0 9370 0 9382 0 9394 0 9406 09118 0 9429 0 9441 0 9474 0 9484 0 9495 0 9505 0 9515 0 9525 0 9616 0 9573 0 9582 0 9501 0 9608 1 7 1 8 1 9 0 9656 0 9064 0 9671 0 9554 0 9564 0 9649 0 9641 0 9719 0 9713 2 0 0 9772 0 9778 0 9732 0 9726 0 9738 0 9545 0 9535 0 9633 0 9625 0 9699 0 9093 0 9686 0 9761 0 9756 0 9750 0 9812 0 9803 0 0808 0 9798 0 9793 0 9854 0 9850 0 9783 0 9842 0 9846 0 9890 0 9887 0 9884 0 9881 0 9830 0 9838 0 9910 0 9913 0 9875 0 9878 0 9868 0 9909 0 9911 0 9906 0 9936 0 9934 0 9904 0 9032 0 9031 0 9029 0 9227 0 9788 0 9817 0 9857 0 0834 0 9871 0 9898 0 9901 0 9922 0 9925 0 9945 0 9946 0 9959 0 9900 2 1 2 2 2 3 2 4 2 5 2 6 0 9826 0 9821 0 9864 0 9861 0 9896 0 9893 0 9918 0 9020 0 9938 0 9940 0 9953 0 9955 0 9941 0 9943 0 9957 0 9956 0 9599 0 9678 0 9744 0 9948 0 9061 0 9949 0 9062 0 9951 0 9963 2 0 0 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 1 0 1 1 1 2 1 3 1 4 0 9706 0 9767 X 0 9952 0 9064 1 5 1 6 1 7 1 85 1 9 2 0 2 1 2 2 2 3 2 4 2 5 2 6 dard Normal Distribution Table Page 08 0 07 1 06 05 04 03 02 0 00 01 00 0 0003 0 0003 0 0003 0 0003 0 0003 0 0003 0 0004 0 00 0 0003 0 0003 0 0003 0 0004 0 0004 34 0 0004 0 0004 0 0004 0 00 0 0005 0 0005 0 0005 0 0005 0 0005 0 0006 3 3 0 04 0 0007 0 0006 0 0006 0 0006 0 0006 0 0008 0 0007 0 0007 3 2 0 0009 0 0008 0 0008 0 0008 0 0 0 0011 0 0010 3 1 0 0010 0 0009 0 0009 0 0 0 0014 0 0013 0 0013 0 0012 0 0012 0 0011 0 0011 0 0013 3 0 0 0016 0 0016 0 0015 0 0015 0 0 0 0021 0 0020 0 0019 0 0018 0 0018 0 0017 2 9 0 0023 0 0022 0 0021 0 0 0 0026 0 0025 0 0024 0 0023 2 8 0 0030 0 0029 0 0028 0 0027 0 0 2 7 0 0035 0 0034 0 0033 0 0032 0 0031 0 0040 0 0039 0 0038 0 0037 2 6 0 0054 0 0052 0 0051 0 0049 0 1 0 0047 0 0045 0 0044 0 0043 0 0041 0 0057 0 0055 0 00GG 0 25 2 5 0 0002 0 0060 0 0059 0 0069 0 0068 0 0 0073 0 0071 0 0087 0 0089 0 0091 2 4 0 0082 0 008s0 0 0078 0 0075 0 0 0096 0 0094 0 0099 0 0102 0 0116 0 0113 0 2 3 0 0107 0 0104 0 0125 0 0122 0 0119 0 0129 2 2 0 0139 0 0136 0 0132 0 0 0174 0 0170 0 0166 0 0162 0 0158 0 0151 0 0150 0 0146 0 0179 2 1 C 0 0222 0 0217 0 0212 0 0207 0 0202 0 0197 0 0192 0 0158 2 0 0 0228 0 0301 C 0 0281 0 0274 0 0268 0 0262 0 0256 0 0250 0 0244 0 0239 0 0314 0 0307 0 0329 0 0322 1 9 0 0287 0 0350 0 0351 0 0344 0 0336 1 8 0 0418 0 0409 0 0401 0 0392 0 0384 0 0375 0 0475 0 0465 0 0436 0 0427 0 0446 1 7 0 0505 0 0495 0 0485 0 0582 0 0571 0 0537 0 0526 0 0516 0 05 48 1 6 0 0630 0 0618 0 0006 0 0504 0 0655 0 06 13 0 0708 0 06941 0 0721 1 5 0 00GS 0 0764 0 0749 0 0735 0 0853 0 0838 0 0778 0 0800 0 0001 0 0885 1 4 0 0808 0 0793 0 0951 0 0034 0 0918 1 3 0 0968 0 1251 0 1230 0 1210 0 1190 0 1151 0 1131 0 1112 0 1093 0 1075 0 1056 0 1038 0 1020 0 1003 1 2 0 1335 0 1314 0 1292 0 1271 0 1357 11 0 1587 0 1562 0 1539 0 1515 0 1492 0 1469 0 1446 0 1423 0 1401 1 0 Print Done Check

counts Receivable Supplies Office Equipment Accounts Payable Common Stock ained Earnings Dividends Fees Earned Rent Expense Advertising Expense ties Expense Miscellaneous Expense Transactions 1 Oct Paid rent for the month 2 500 Paid advertising expense 600 5 Paid cash for supplies 1 200 www348NGGA Purchased office equipment on account 9 200 Received cash from customers on account 15 900 20 Paid creditor on account 3 410 Paid cash for miscellaneous expenses 550 27 30 Paid telephone bill for the month 400 31 Fees earned and billed to customers for the month 50 170 Paid electricity bill for the month 830 31 Paid dividends 1 850 ASSETS CHART OF ACCOUNTS Innovative Consulting Co General Ledger 11 Cash 12 Accounts Receivable 13 Supplies 14 Office Equipment LIABILITIES 21 Accounts Payable EQUITY 31 Common Stock 32 Retained Earnings REVENUE 41 Fees Earned EXPENSES 51 Rent Expense 52 Advertising Expense 53 Utilities Expense 54 Miscellaneous Expense Journalize the transactions for October 20Y2 in a two column journal Refer to the Chart of Accounts for account titles 1 2 3 4 5 6 7 8 9 10 DATE JOURNAL DESCRIPTION POST REF DEBIT CREDIT ACCOUNTING ASSETS LIABIL 4

The following preliminary unadjusted trial balance of Ranger Co a sports ticket agency does not balane Ranger Co Unadjusted Trial Balance August 31 20Y1 Cash Accounts Receivable Prepaid Insurance Equipment Accounts Payable Unearned Rent Common Stock Retained Earnings Dividends Service Revenue Wages Expense Advertising Expense Miscellaneous Expense Totals Debit Balances 62 830 29 530 9 900 56 370 51 700 13 200 9 550 233 080 Credit Balances 10 620 17 220 3 830 111 210 55 700 1 880 200 460

Make a plot showing the median departure delay by month along with a shaded region indicating the lower and upper quartiles like the one below Hint Use a and but first think about how to compute the summaries that you ll need for each of these layers Make a plot showing the median departure delay by hour along with a shaded region indicating the lower and upper quarties like the one below departure delay 20 10 0 3 15 month Use flights from library nycflights13 to solve

The graphs below show the population of City A and City B in 1950 and 2000 Population City A 3 000 2 500 2 000 1 500 1 000 500 0 O 1950 2000 3 000 000 2 500 000 2 000 000 1 500 000 1 000 000 500 000 0 Population City B 1950 Which of the following statements best explains how the graphs misrepresent the data The graph for City B makes its population appear much smaller but its population is only a little smaller than City A 2000 The graphs do not include information for the years between 1950 and 2000 so there is not enough information to compare their populations The graphs were created with different colors The graphs use different scales making it appear that City A has a larger population than City B

movement of the progress bar may be uneven because questions can be worth more or less including zero depending on your er A self serve frozen yogurt store made these graphs to study the data collected about its customers purchases Which statement is true Yogurt Salon in 2011 Other 10 Strawberry 30 Chocolate 38 Vanilla 22 7000 6000 5000 4000 3000 2000 1000 0 1 Month Ounces Sold Last Friday Stem 0 1 2 3 Leaf 3 to 4 p m 6688899 00125 3 Leaf 7 to 8 p m 78 2246668 0005 2 Which of the following statements is true The median number of ounces sold from 3 to 4 p m was more than the median number sold from 7 to 8 p m More customers prefer chocolate than strawberry and vanilla combined Yogurt sales had a decreasing trend during the last four months of 2011 The store sold 4 000 fewer units in November than in August

Find the angle A using the given right triangle Round off the results according to the table below Measurements of Angle to Nearest 1 0 1 0 01 Find angle A A Accuracy of Trigonometric Function 2 significant digits 3 significant digits 4 significant digits GOLOB 31 7 102

Simplify 35 C 3y5 O 314 3y 15 5y y

Find 0 for the given trigonometric function Round off the results according the provided table cot 0 0 0873 Select the correct choice and if necessary fill in the answer box to complete your choice OA 8 Do not include the degree symbol in your answer Measurements of Angle to Nearest 1 0 1 0 01 Accuracy of Trigonometric Function 2 significant digits 3 significant digits 4 significant digits

ion f x x for 0 x for 7 x for obtain the Fourier series of the x n interval x 27 to x 3 x 2

A self serve frozen yogurt store made these graphs to study the data collected about its customers purchases Which statement is true Yogurt Sales in 2011 Other 10 Strawberry 30 Chocolate 38 Vanilla 22 7000 6000 5000 4000 3000 2000 1000 0 Jan Feb because questions can be worth more or less including zero depending on your Mar April Month Ounces Sold Last Friday Stem 0 1 2 3 Leaf 3 to 4 p m 6688899 00125 3 Leaf 7 to 8 p m 78 2246668 0005 2 Which of the following statements is true More customers prefer chocolate than strawberry and vanilla combined O The store sold 4 000 fewer units in November than in August C Yogurt sales had a decreasing trend during the last four months of 2011 The median number of ounces sold from 3 to 4 p m was more than the median number sold from 7 to 8 p m

Find 0 for 0 0 2x sin 0 0 3392 0 Type any angles in radians between 0 and 2x Type a decimal rounded to four decimal places as needed Use a comma to sepa

For an arc length s area of sector A and central angle 0 of a circle of radius r find the indicated quantity for the given value X r 4 63 in 0 s C

Determine the signs of the given functions tan320 cos157 The sign of tan320 is

Consider the graph below Find the betweenness of the following edges a AB b BC c DE 1 Consider the graph below Find the betweenness of the following edges a AB b BC B c DE A F E C 0

Amazon com to Best Buy Amazon com Inc AMZN is one of the largest Internet retailers in the world We will use Amazon as a continuing company exercise to reinforce the various tools and techniques for analyzing financial statements We will begin w the ratio of liabilities to stockholders equity Ratios can be used to compare companies in the same industry For Amazon there are a number of competitors that sell media electronic and other merchandise Best Buy Inc BBY is one such company The following total lia and stockholders equity information in millions is provided for Amazon and Best Buy for the end of a recent year Amazon Best Buy Total assets 64 747 13 519 Total liabilities 51 363 9 141 Total stockholders equity 13 384 4 378 a Compute the ratio of liabilities to stockholders equity for each company Round to two decimal places Liabilities to stockholders equity ratio Amazon Best Buy b Which of the following indicates the level of protection available to creditors 1 The ratio of total liabilities to stockholders equity 2 The ratio of current liabilities to total liabilities 3 The ratio of total liabilities to total assets

Compare Amazon com to Best Buy Amazon com Inc AMZN is one of the largest Internet retailers in the world We will use Amazon as a continuing company exercise to reinforce the various tools and techniques for analyzing financial statements We will begin with the ratio of liabilities to stockholders equity Ratios can be used to compare companies in the same industry For Amazon there are a number of competitors that sell media electronic and other merchandise Best Buy Inc BBY is one such company The following total liabilities and stockholders equity information in millions is provided for Amazon and Best Buy for the end of a recent year Amazon Best Buy Total assets 64 747 13 519 Total liabilities 51 363 9 141 Total stockholders equity 13 384 4 378 a Compute the ratio of liabilities to stockholders equity for each company Round to two decimal places Liabilities to stockholders equity ratio Amazon 2 087 x Best Buy 4 378 x b Which of the following indicates the level of protection available to creditors 1 The ratio of total liabilities to stockholders equity 2 The ratio of current liabilities to total liabilities 3 The ratio of total liabilities to total assets 4 The ratio of current liabilities to total assets

O Statement of Cash Flows A summary of cash flows for Macarthur Travel Service for the year ended March 31 20Y6 is shown below Cash receipts Cash received from customers 298 550 Cash received from issuing common stock 23 900 Cash payments Cash paid for operating expenses Cash paid for land Cash paid for dividends The cash balance as of April 1 20Y5 was 98 350 Prepare a statement of cash flows for Macarthur Travel Service for the year ended March 31 20Y6 Use the minus sign to indicate cash outflows cash payments and decreases in cash Macarthur Travel Service Statement of Cash Flows For the Year Ended March 31 20Y6 Cash flows from used for operating activities Cash received from customers 241 830 58 400 3 800 Cash paid for operating expenses Net cash flows from operating activities Cash flows from used for investing activities Cash paid for purchase of land YV Cash flows from used for financing activities Cash received from issuing common stock Cash paid for dividends Net cash flows from financing activities Net increase in cash Cash balance April 1 20Y5 Cash balance March 31 20Y6 Feedback Check My Work 298 550 143 480 x 23 900 DO 98 350 x use of cash Recall that there are three activity types of cash flows operating Investing and financing

2 3 points Consider the poset P PC where P is the set of all binary strings of length 4 and we say that stif and only if the length of s is less than or equal to the length of t and t agrees with all the entries of s coordinate wise That is to say for all i in the domain ofs s i t i For example 101 1011 but it is not the case that 101 1001 T Determine the height and width of P

Missing Amounts from Balance Sheet and Income Statement Data One item is omitted in each of the following summaries of balance sheet and income statement data for the following four different corporations Determine the missing amounts Hint First determine the amount of increase or decrease in stockholders equity during the year Freeman Heyward Jones Ramirez Beginning of the year Assets Liabilities End of the year Assets Liabilities During the year Additional issuance of capital stock Dividends Revenue Expenses 453 700 521 800 204 200 272 200 271 300 155 200 562 600 245 000 730 500 183 800 229 600 163 400 104 400 31 300 20 400 31 800 149 800 234 900 81 700 135 700 251 200 247 100 510 600 280 000 82 400 120 800 230 600 263 500

Balance Sheets Net Income Financial information related to the corporation of Ebony Interiors for February and March 2018 is as follows Cash Accounts receivable Supplies Accounts payable Common stock Retained earnings Cash V Accounts receivable Supplies Total assets V February 28 2018 Accounts payable 183 700 104 100 9 200 47 100 130 000 a Prepare balance sheets for Ebony Interiors as of February 28 2018 Ebony Interiors Balance Sheet February 28 2018 Assets Liabilities March 31 2018 Common stock Retained earnings Total stockholders equity Total liabilities and stockholders equity 311 800 119 600 7 600 50 900 130 000 Stockholders Equity 183 700 104 100 9 200 130 000 0 X 297 000 47 100 130 000 x 130 000 X

Statement of stockholders equity The revenues and expenses of Paradise Travel Service for the year ended May 31 20Y6 follow Fees earned Office expense Miscellaneous expense Wages expense Everett McCauley invested an additional 40 000 in the business in exchange for common stock and 10 000 of dividends were paid during the year Common stock had a balanc 60 000 and retained earnings had a balance of 300 000 as of June 1 20Y5 Prepare a statement of stockholders equity for the year ended May 31 20Y6 Paradise Travel Service Statement of Stockholders Equity For the Year Ended May 31 20Y6 Balances June 1 20Y5 Issued common stock Net income 900 000 300 000 15 000 450 000 Dividends Balances May 31 20Y6 Common Stock Retained Earnings 300 000 0 15 000 X 60 000 40 000 0 0 100 000 Total 360 000 BOOO 40 000 0 X 0 X

Which box and whisker plot represents this data 6 7 9 9 20 22 26 28 29 305 C O 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 24 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 2 2 4 4 6 8 10 12 14 16 18 20 22 24 6 8 10 12 14 16 18 26 28 30 32 34 36 38 20 22 24 26 28 30 32 34 36 38

Simplify 5w sin w to an expression involving a single trigonometric function cos 5w cos w Question Help Video Check Answer

Solve 3 cos x 11 cos x 4 0 for all solutions 0 x 2 x Give your answers accurate to 2 decimal places as a list separated by commas Question Help Video Check Answer

c Show that the vector 3 2 41 6 4 31 is in the column space of the matrix

Which inequality has the graph shown below 3 2 1 0 1 2 N y x 1 y x 1 y x 1 y x 1

The average daily temperatures for each month in Winnipeg Manitoba Canada are in the table below Month High C Jan Feb March April May June July Aug Sep Oct Nov Dec 10 8 0 11 17 23 26 25 20 11 16 15 10 3 6 15 2 8 Low C 18 17 9 0 7 13 a Write sinusoidal functions to model the average daily high temperatures and the average daily low temperatures b Compare the properties of the functions Describe why some properties are similar and others are different

Which inequality is graphed below do 7 6 x 4 x 4 x 4 x 4 5 4 20 2 1 0 2 3

A ball is thrown in the air from the top of a building Its height in meters above ground as a function of time in seconds is given by h t 4 9t 20t 7 How long does it take to reach maximum height Round your answer to the nearest tenth It takes seconds for the ball to reach its maximum height

22 Determine the output waveform in Figure 3 87 and draw the timing diagram A B cinn HA C

2 A combination of inverters is shown in Figure 3 77 Q If a HIGH is applied to point A determine the logic levels at points B through F B C A D F

Discuss the statement Translating logical statements into logic circuits

Which of the below descriptions shows a possible Euler Path a ABCED Ob ABCAECDBED c ABCDE d ABEDBCEA A C D E

Is the following statement True or False A Hamiltonian Path exists in the graph a TRUE b FALSE

73 74 Clocks and Angles In 1 h the minute hand on a clock moves through a complete circle and the hour hand moves through of a circle 10 9 N 3 10 9 8 11 12 N 3 10 9 11 12 3 73 Through how many radians do the minute hand and the hour hand move between 1 00 P M and 1 45 P M on the same day 74 Through how many radians do the minute hand and the hour hand move between 1 00 P M and 6 45 P M on the same day

rno runs a restaurant that sells two kinds of pies Arno knows the restaurant must make at least 9 and at nost 64 dozens of the Caramel Twists The restaurant must also make between 18 and 41 dozens of the Fluffy Deliciousness The dozens of Caramel Twists take 1 minutes in the oven while dozens of Fluffy Deliciousness equire 2 minutes in the oven The restaurant only has 108 minutes in the oven available If dozens of Caramel wists generate 1 76 in income and dozens of Fluffy Deliciousness generate 1 96 how many dozens of the ies should Arno have the restaurant make to get the most income Caramel Twists Fluffy Deliciousness

A person wants to invest 21 000 for 2 years and is considering two different investments The first investment a money market fund pays a guaranteed 6 2 interest compounded daily The second investment a treasury note pays 6 3 annual interest Which investment pays the most interest over the 2 year period CEEEE Select the correct choice below and if necessary fill in any answer box es to complete your choice Do not round until the final answer Then round to the nearest cent as needed OA The market fund is the better investment since the market fund produces OB Both the market fund and the treasury note produce the same interest with OC The treasury note is the better investment since the market fund produces in interest and the treasury note pays in interest in interest and the treasury note pays in interest

The fixed and variable costs to produce an item are given along with the price at which an item is sold Fixed cost 3048 Variable cost per item 17 10 Price at which the item is sold 29 10 Part 1 of 4 a Write a linear cost function that represents the cost C x to produce x items The linear cost function is C x 3048 17 10x Part 1 4 Part 2 of 4 X b Write a linear revenue function that represents the revenue R x for selling x items