Vectors Questions and Answers

In the cover email you have to justify the reason behind sending your email earlier to introducing yourself Select one O True O False

Tracy invested in a lifetime annuity that begins payments at age 65 Her life expectancy is 87 Tracy invested 800 000 in the annuity which earns 4 5 APR compounded monthly With this annuity what is Tracy s monthly payment amount A 4898 56 B 5123 89 4500 00

1 0 0 1 transformed parallelogram Use O A OB O C to reflect 3 4 3 4 1 4 1 3 4 4 1 over the y axis Identify th

Vector A is transformed to vector B Identify the transformation B 54 5 5 4 3 2 1 4 32 1 0 AV 1 2 3 4 5

Select the matrix that represents the parallelogram 5 5 LC 0 5

Select the matrix that represents the vector 10 5 10 5 0 5 5 10

Given a right prism where p is the perimeter of the base h is the height BA is the area of the bases and LA is the lateral area what is the surface area Check all that apply A SA 10 B SA BA ph C SA p LA 16 LA D SA BA LA E SA 16 LA

ind the a amplitude b period e phase shift if any d vertical translation an nd e range of the following function Then graph the function over at least one perk E CON a The amplitu

on over a two period interval Give the period and amplitude 8 cos 5x amplitude is plify your answ

What type of graph is useful when depicting piece rates O A Linear graph OB Slope O C Scatter plot D Bar graph

A piece rate worker is paid OA a fixed rate per year OB a fixed rate per hour worked C a fixed rate for each item produced or action perfo

In an IR system what is used to estimate the size of the dictionary Select one O O O O A F measure B Gold Standard C Zipf s Law D Heaps Law

Trevor used the time to pay off formula to calculate how many payments it will take to pay off a loan and he got n 40 34 How many payments will it take to pay off the loan OA It will take 40 payments because Trevor should round down B It will take 41 payments because Trevor should round down OC It will take 41 payments because Trevor should round up D It will take 40 payments because Trevor should round up

Sabrina took out a loan for 2050 at a 14 4 APR compounded monthly to buy an air conditioner If she will make monthly payments of 117 50 to pay off the loan which of these expressions could be used to calculate the number of payments she will have to make A B C log log log 117 5 117 5 2050 0 012 log 1 0 012 117 5 117 5 2050 0 012 log 1 0 012 117 5 117 5 2050 0 012

Which of these expressions is equivalent to log 6 7 O A log 6 log 7 OB log 6 log 7 OC log 6 log 7 O D 6 log 7 Aliml

Tyler took out a loan at a 14 7 APR compounded monthly to buy a boat and he is making monthly payments to pay off the loan Which of these interest rates would have allowed Tyler to pay off the loan faster A 15 6 compounded monthly OB 16 2 compounded monthly O C 15 0 compounded monthly OD 14 4 compounded monthly

Evaluate f a 2 for f x 3x 5x 1 Upload a PDF of your work in the correct orientation Only PDFs will be given credit Show all work

lan has the choice of taking out a 25 year loan for 205 000 at 3 2 interest compounded monthly or the same loan at 20 years for a higher monthly payment If he would pay a total of 93 077 in interest on the 25 year loan how much in total would he pay in interest on the 20 year loan O A Less than 93 077 OB More than 93 077 but less than 205 000 OC 93 077 OD 205 000

cole has the choice of taking out a 30 year loan for 165 erest compounded monthly or the same loan at 25 years for a higher Onthly payment How much more is the monthly payment for the 25 yea an than the monthly payment for the 30 year loan OA 155 66 OB 99 19 OC 90 05 D 56 47

What percentage of the prospective customers surveyed would be willing pay a maximum of 7 01 to 8 A 20 B 10 C 30

1 A tower casts a shadow that is 60 feet long when the angle of elevation of the sun is 65 How tall is the tower

A quality assurance specialist makes 22 an hour for the first 40 hours she works during a week and 29 an hour for each hour worked over 40 hours Which piecewise equation models her total weekly pay y in dollars as it relates to the number of hours x that she has worked during the week 22x A y 129x OB y C y 22x 29 x 40 22x 29x 880 0 x 40 x 40 0 x 40 X 40 0 x 40 x 40

2 SEE O A Hourly pay with no bonus OB O C Piece rate Exakt 3 Commission pay D D Hourly pay with a bonus X 4

Which describes something that is owned and has value O A Annuity OB Asset C Liability

Which type of unemployment is characterized by a mismatch of workers and their skills to jobs available A Structural unemployment B Seasonal unemployment C Cyclical unemployment D Frictional unemployment

Doctoral degree Bachelor s or higher degree plus work experience On the job training or work experience Source BLS Division of Occupational Outlook 8 8 10 A They will increase by 18 OB They will decrease by 18 C They will decrease by 17 D They will increase by 17 16 17

Stella has a bachelor s degree Based on the bar chart below employment opportunities change from 2008 to 2018 Percent change in employment by education or training category 2008 18 projected Associate degree Master s degree First professional degree Bachelor s degree Doctoral degree Bachelor s or higher degree plus work experience 8 18 19 18 17 17

Which of these postsecondary degrees comes after an associate degree going from lowest to highest OA High school diploma OB Bachelor s degree C PhD D Master s degree

According to Okun s law if the unemployment rate goes from 6 to 2 whal will be the effect on the GDP OA It will increase by 11 B It will decrease by 11 C It will increase by 5 OD It will decrease by 5

Madeline s credit card had an APR of 18 96 all of last year and interest was compounded periodically throughout the year Which of these statements accurately describes the effective interest rate of Madeline s credit card last year OA It was less than 18 96 if interest was compounded daily but not if interest was compounded monthly B It was less than 18 96 whether interest was compounded daily or monthly OC It was greater than 18 96 whether interest was compounded daily or monthly D It was greater than 18 96 if interest was compounded daily but

Orel s credit card has an APR of 12 15 and a grace period of 16 days and Orel pays his balance in full every month If his last billing cycle ended on June 24 2009 and he made his payment on July 13 2009 did he owe any interest on his last statement s balance A Yes because he paid within the grace period B No because he didn t pay within the grace period C No because he paid within the grace period D Yes because he didn t pay within the grace period

Hannah has an offer from a credit card issuer for 0 APR for the first 30 days and 12 22 APR afterwards compounded daily What effective interest rate is Hannah being offered O A 12 22 B 13 00 C 12 93 D 11 87

Today Javier put a cabinet on layaway by making a down payment of 80 and agreeing to pay 24 a month starting next month for 36 months When will Javier receive the cabinet A In 1 month B In 36 months OC In 24 months OD Today

Eduardo bought a refrigerator with a sticker price of 2400 If he paid 35 a week for two years what was the approximate markup rate on the refrigerator O A 51 7 OB 75 8 O C 65 9 OD 34 1

Which of these items are you most likely to buy with an installment loan A School books B Groceries C A house D A calculator

Garrett is looking into getting an apartment that costs 950 per month How much does he need to make per year in order to comfortably afford this much in rent OA 26 500 OB 49 400 OC 25 300 OD 46 600

1 In a and b DO NOT use an analytical method of solving a Use the intersection of graphs method to approximate the solution of the following to the nearest tenth Make a rough copy of the graph s from your graphing calculator that you have used to make your determination 2 TX 0 8 9 x TT

Barney has a balance of 780 on a credit card with an APR of 31 3 compounded monthly About how much will he save in interest over the course of a year if he transfers his balance to a credit card with an APR of 19 1 compounded monthly Assume that Barney will make no payments or new purchases during the year and ignore any possible late payment fees O A 119 66 B 162 74 C 445 14 D 282 40 K

Edna transferred a balance of 1400 to a new credit card at the beginning of the year The card offered an introductory APR of 2 9 for the first 3 months and a standard APR of 22 1 thereafter If the card compounds interest monthly which of these expressions represents Edna s balance at the end of the year Assume that Edna will make no payments or new purchases during the year and ignore any possible late payment fees O A 1400 1 002 1 0221 OB 1400 100 1 0221 C 1400 1 0 029 2 0 221

Credit card A has an APR of 20 8 and an annual fee of 60 while credit card B has an APR of 24 6 and no annual fee All else being equal which of these equations can be used to solve for the principal P the amount at which the cards offer the same deal over the course of a year Assume all interest is compounded monthly O A P 1 0208 60 P 1 02456 12 12 O B P 1 0206 50 P 1 0245 12 O C P 1 0206 60 P 1 0245 12

4 7 3 Quiz Credit card A offers an introductory APR of 4 1 for standard APR of 18 5 thereafter while credit card B offers an introductory APR of 3 7 for the first 3 months and a standard APR of 18 9 thereafter All else being equal which of these statements is correct Assume all interest is compounded monthly OA Credit card B is the better deal over the course of the first 3 months and over the course of the first year OB Credit card B is the better deal over the course of the first 3 months but credit card A is the better deal over the course of the first year C Credit card A is the better deal over the course of the first 3 months and over the course of the first year

Credit card A has an APR of 26 2 and an annual fee of 30 while credit card B has an APR of 27 1 and no annual fee All else being equal at about what balance will the cards offer the same deal over the course of a year Assume all interest is compounded monthly OA 26 18 OB 261 78 C 26 178 46 OD 2617 85

Leah wants to buy a CD for 500 that earns 4 APR and is compounded quarterly for 5 years She will be taxed on 20 of the interest that she earr What is the total amount of interest Leah will earn after taxes OA 20 40 OB 88 07 C 110 10 D 25 50

Joey has a credit card that uses the previous balance method The opening balance of one of his 30 day billing cycles was 0 but this was his balance for only the first 15 days of the billing cycle He then made a purchase that increased his balance to 7200 and his balance stayed this amount for the remainder of the billing cycle If his credit card s APR is 13 how much was Joey charged in interest for the billing cycle OA 76 93 B 0 C 38 47 D 93 60

According to the Truth in Lending Act which of the following is the bank NOT obligated to inform you of A Interest calculating method OB APR OC Annual fee amount OD Maximum finance charge

What is the name of a loan that is issued in return for the promise of being paid back the full amount plus the periodic interest A Bond O B Annuity O C CD

Ivan bought a 1000 bond with a 4 5 coupon that matures in 30 years What are Ivan s total earnings for this bond when it reaches its maturity date OA 900 00 OB 135 00 OC 1350 00 D 450 00

Sy 10 should be typed in as 2x 5y 10 2 No vector symbols are needed in your answers For example 2 3V would be typed as 2u 3v 3 Other common symbols include The x multiplication or cross product symbol which should be typed as asterisk For example u x 5V would be typed as u 5v The period symbol can be used to denote the dot product Question 1 1 point For which of the following conditions will the dot product of two vectors be zero a The angle between them is 90 b The angle between them is 0 c The angle between them is 180 d The vectors have the same magnitude Given a 23 cm b 8 cm and the angle between the two vectors when 23 cm 16 placed tail to tail is 63 Find a x b axb Round your answer to the nearest tenth 1 decimal place Your Answer Answer The diagram above shows a vector that can be described as a 3 1 b 5 4 c 2 3 d 5 2 For which of the following conditions will the cross product of two vectors be zero a If the angle between them is 90 b If the angle between them is 0 c If the angle between them is 45

Which of these debts could possibly be forgiven under Chapter 7 bankruptcy OA A student loan OB A mortgage O C Child support O D Alimony

A credit card had an APR of 15 98 all of last year and compounded interest daily What was the credit card s effective interest rate last year O A 17 32 OB 16 62 O C 16 96 OD 17 20