Sequences & Series Questions and Answers

Find all irreducible complex representations of C3xC3 Which of these representations are faithful wwwnn sumunun wnunum sanns representations Please explain Annnnnnnnnnnnnnnnnn nnnnnnnnnnnnnnnnnn

6 Find the least squares line of best fit to the four points 0 1 2 0 3 1 and 3 2

2 Determine the exact value of tan 7 Make sure to rationalize the denominator 1 3 1 3 1 3 a b 1 3 1 d 2 3 C

An airplane is flying on a compass heading bearing of 340 degrees at 325mph A wind is blowing with the bearing 320 degrees at 40mph a find the component form of the velocity vector of the plane b find the actual ground speed of the plane

B 22 3 162 3 42 3 33 24 316 4 73 2 32 D

29 Graph the function f x 2x 7 on the set of axes below y If g x 1 5x 3 determine if f x g x when x 4 Justify your answer

Explain the first step you used to solve the given equation

Answer all 8 questions in this part Each correct answer will receive 2 credits Clearly Part II charts etc Utilize the information provided for each question to determine your answer Note that diagrams are not necessarily drawn to scale For all questions in this part a correct numerical answer with no work shown will receive only 1 credit All answers should be written in pen except for graphs and drawings which should be done in pencil 16 25 Solve algebraically for x 3600 1 02x 2000 1 04x

A Choose the graph for the inequality y 1 x 7 1 et 2 4 2 2 4 24 B 4 2 sto 2 2 4 CA C 4 2 4 2 2 4 CA

Zeek wants to ride 2 miles directly east or if he should go directly there to bike directly there rounding to the nearest tenth R W Modeling and Solving for x DAS 10 You want to take Zeek to the fair His mom gives him 30 to spend It costs 13 to get in and then 2 for every ride metalerat poilsilhamlade 14 d Untungor Jeg ugy mangnes somridsonge the games motora 1 point Define the variable x the food the rides the cost to get in rottsbr 16 15 1 point Write an equation to model this situation TOURE are metey to Wi italstrundik bag 13 2x 30 2 30x 13 30 13x 2 30 2x 13 1 point How many rides can he ride solve for x

of The Transportation Expenses coverage found in Part D Coverage for Damage to Your Auto of the Personal Auto Policy 0 includes expenses for which the insured becomes legally responsible for due to covered loss to a non owned auto applies only if the covered auto is a total loss due to a collision only applies if the insured is more than 300 miles from home when a covered loss occurs only applies to expenses for a rented car

31 of Medical Payments Coverage and or Personal Injury Protection in the Personal Auto Policy covers the named insured and family members 50 only if struck by an auto while a pedestrian only while occupying non owned autos while occupying any auto or if struck by an auto while a pedestrian

322 Prove by Induction 8 7n 6 is divisible by

Verne has 6 math books to line up on a shelf Jenny has 4 English books to line up on a shelf In how many more ways can Verne line up his books than Jenny Select one O a 696 Ob 24 O c 14 O d 720

The population of a town is modeled by the equation P 16 581e0 02r where P represents the population after 2000 According to the model what will the population of the town be in 2020 Select one O a 20 252 O b 16 916 O c 17 258 O d 24 736

A bag contains 6 red marbles 6 orange marbles and 4 blue marbles Find P red or blue Select one a 3 2 Ob 3 4 c 2 3 O d 5 8

Use summation notation to write the series 2 4 6 8 for 10 terms 10 10 b n 2 1 a 10 2n 22 1 Select one O A a OB b OC C O D d C n 1 n 10 d 2n 22 0

Determine the points of discontinuity x 3x 18 2 x 36 y x 6 removable x 6 non removable Choose x 6 non removable x 6 removable CHoose Choose Choose

8 What is the simplified form of 2 8 68 when solved for x log 68 8 X x log 60 x log 34 8 68 88 x log2

Given sin a 25 answers no decimals 9 sin 2 COS tan 7 and a is in Quadrant I find sin 2 cos 2 9 and tan Give exact

Question 3 If f x 3x 14 find the slope of the secant line between the values of x 1 2 and X 2 11

B 1 853 25 C 2 223 90 MULTIPLE CHOICE Question 9 Listen Continued from the previous question

MULTIPLE CHOICE Question 3 Based on the income and expenses what is your savings each week Subtract the weekly expenses from the weekly income A 45 B 101 C 146 MULTIPLE CHOICE Question 4 Based on the savings in the previous question You set aside the difference between your Income and your expenses how many weeks will it take you to save 179 to buy the glasses Divide the cost for the glasses by the weekly savings in the previous question 1 Pol

Select the formula that does the following Determines if C3 equals 5 will add up all of the cells in column A Otherwise display a blank cell A IF C3 SUM 5 A A B C IF C3 5 SUM A A IF C3 5 SUM A A

What geometric figure best describes the large building in the photo pyramid cylinder cone triangular prism

3 4m n 10mn 5 8xy 9x y4 7 10x y6 x y 7x y5 9 9 22x y23 6x6y 7 5 27x 5 11 12yz 14x z27 19x 5y z 4 23x 7z 11

Step 4 of 4 Find the zero s at which f flattens out Express the zero s as ordered pair s x Select the number of zero s at which f flattens out f x x4 4x 8x 12x 15 Selecting an option will display any text boxes needed to complete your answer 01 none 2 0 3 Zero s at which f flattens out 04

or the given probability density function over the given interval find the mean the variance and the standard eviation 36 f x 12 20 A 15 5 o2 5 20 o 2 28 C 15 o2 5 34 o 2 31 B 16 o 5 33 o 2 31 D 1 6 o 5 24 o 2 29 36

ght a new laptop for 1250 He kept track of the value of the laptop over the next three years as shown in the table below Years After Purchase Value in Dollars 1000 800 640 1 2 3 Which function can be used to determine the value of the laptop for x years after the purchase 1 f x 1000 1 2 2 f x 1000 0 8 3 f x 1250 1 2 4 f x 1250 0 8

5 What is the solution to the equation a x 1 3 06 2 0 4 3 1 04 3 0 48 4 0 7093 L

Find the radius of convergence R of the series R 5 00 I 1 x 8 n 0 4n 1 X Find the interval I of convergence of the series Enter your answer using interval notatio

Find a power series representation for the function Give your power series representation centered at x 0 f x 4 X 1 x 00 2 n 1 Determine the interval of convergence Enter your answer using interval notation f x 4

Type the equation for the graph below AA 2 M y sin x 77 3 Enter

Question 8 When f x x 2x 3 evaluate f 1 f 1

3 When the polynomial p x was divided by the factor x 7 the result was x following is the value of p 7 3 11 1 8 2 ot exist 11 x 7 Which of the

15 You are using the numbers 1 10 to create a 4 digit code Each number can only be used once How many different codes are possible Show your work

Examine the t chart below and answer the following questions 1 What is the slope of the function shown 2 Find the y intercept by choosing a point from the t chart and solving slope intercep form for b 3 Write the the function in slope intercept form x 6 8 10 12 g x 12 17 22 27

Determine whether the series is convergent or divergent k K 4k 9 00 k 1 convergent divergent T If it is convergent find its sum If the quantity diverges enter DIVERGES

9 Find az if a3 80 and r 1 Round your answer to four decimal places if necessary a7

6 Find the sum of the arithmetic series 77 85 93 S7 101 109 117 117 125

Tessa invests 9100 in a new savings account which earns 4 1 annual interest compounded quarterly What will be ti value of her investment after 4 years Round to the nearest cent Answer How to enter your answer opens in new window SA Key Keyboard Shor

15 Find a23 if a 99 and d 9 7 O 4 O 12 O 6 5 O 0 O None of these are correct

Match the correct term with the given definition from the dropdown list When investors buy shares of these they become part owners of the corporations that Issue them Money you earn as a shareholder in a company The rate at which your money earns simple interest in one year Common type of retirement investment the Roth version matures with interest tax free CHCE Corporations and governments raise money by issuing these written pledges to repay a specific amount of money plus interest A form of savings in which you deposit a specific amount of money for a specified period of time A portfolio of stocks bonds or both put together by an investment company Choose You might pay this when buying mutual funds usually between 0 and 6 of amount invested Choose Form of investment in which someone pays you for use of home you own you are responsible for upkeep and other expenses The worth of a share of a mutual fund stocks Funds you must begin withdrawing from your individual retirement account after a certain age Opposite of loss what results when you sell stock for an amount greater than the amount of money you invested net asset value NAV certificate of deposit CD profit loading charge bonds Individual retirement account IRA mutual fund required minimum distribution rental property annual percentage vield APY dividend Choose Choose Choose l

32 Solve the equation 8x 7 10x 8 83 8 Ox 3 x 3 O x 6 x 4 x 6 O None of these answers are correct

Statistic PROJECT Your final for this semester will be a project You are welcome to work by yourself of a group of up to 3 total people The project will be graded on this written report done individually and a poster slide presentation done with your group members The report will be worth 100 points and the poster slide presentation worth 100 points You will be a given a grading rubric for both parts Here are the steps to follow Please be sure to complete at least 4 steps a day Some steps will take longer so be sure to pace yourself to get the project finished PROJECT DUE 5 25 23 Step 1 Organize your group You may have up to 3 people total in your group You and 2 others Group members you Lestif Step 2 Decide what information you want to gather You must have 2 types of data one that involves numbers and another that involves word Think about the soda survey it had a question about favorite soda and how many sodas do you drink in a day Step 3 Determine how you will gather your data Will you research a b will you collect your own like we did in the parking lot c will you do a google form like the soda survey if you are doing a google form Send your questions to Mrs Dubash by Step 4 Gather organize your data If you collected it via the form you will want to copy only the data that was yours Step 5 Complete Mean Median Mode and Range of the numerical data Mean Median Mode Range Step 6 Is it best to use mean median or mode for your data explain Were there any outliers

Calculate the yield to the nearest hundredth of a percent Ralph Suarez purchases a 9 000 bond at 88 25 It pays 4 5 annual interest What is the cost of the bond 7 989 25 O 7 621 25 7 482 50

Shayla Montega invests 28 000 in a certificate of deposit for 4 years If she earned 1 281 42 after 1 year what is the annual percentage yield to the nearest thousandth of a percent 4 621 O4 550 4 577

Mario Gillespie owns 200 shares of Asset Investment Corporation He paid 32 75 per share Asset Investment pays a 5 00 per share dividend What is the annual yield O 5 32 7 97 12 21 O 15 27

Barry Kato owned 400 shares of stock in a car company He paid a total of 11 580 00 for the stock He sold the stock for 29 50 per share and paid a commission of 1 of the selling price What was the TOTAL amount of the sale 11 682 00 11 800 00

Tanya Elliot purchased 400 shares of Frontier Oil at 19 00 per share and paid a 29 95 commission What was the cost of the stock Neither answer is correct 7 600 00 7 650 00