Vectors Questions and Answers

Victoria is 30 years old She has 700 in a checking account 9000 in a savings account 16 000 in a retirement account and owns a car worth 6000 What is the total value of her liquid assets A 31 700 B 15 700 C 16 000 D 9700

The cost of 500 000 worth of 30 year term life insurance for Rico is 66 60 per month If Rico s employer covers 90 of this cost how much is deducted from Rico s gross income per year for life insurance A 799 20 B 79 92 C 719 28 D 59 94

If y represents total earnings in dollars and x represents hours worked ther the equation that corresponds to the earnings of someone who makes 10 25 an hour is OA x 10 25y OB y 10 25 X OC y 10 25 x D y 10 25x

Agnes wants to buy a gallon of iced tea If a 1 gallon jug costs 3 05 and a pint costs 0 45 how much money would Agnes save by buying the 1 gallor jug instead of multiple pints OA 2 60 B 0 35 OC 1 25 OD 0 55

A fortune teller gets paid 60 for each fortune he tells and his goal is to ea 2280 telling fortunes this month If he has already told 2 fortunes this month how many more fortunes must he tell in order to reach his goal A 36 OB 38 OC 40 O D 30

A receptionist earned 443 a week last year What was her yearly salary OA 26 322 OB 23 036 C 23 193 OD 25 279

What is the sum of the two vectors 1 4 and 3 5 O A 5 8 OB 2 1 O C 0 1 D 3 20

What is the length magnitude of the vector 2 1 A 1 OB 2 O C 2 D 5

Evaluate the dot product of 1 2 and 3 3

If the dot product of two nonzero vectors V and V2 is zero what does this tell us A V is perpendicular to V OB V is a component of V2 C v is parallel to V OD V V

Which of the following vectors are orthogonal to 1 5 Check all that apply A 1 5 B 10 2 C 5 1 D 2 5

Evaluate the following expression 3 1 1 4 2 O A 4 1 O B 3 2 O C 0 4 O D 1 1

A n has both a magnitude and a direction 327 O A angle OB scalar C component O D vector

Let v 8 4 and w 4 2 Which of the following is true Check all that apply A The y component of w is 2e2 B v w 40 C The x component of v is 4e D V 2W

Evaluate the following expression 2 1 1 4 0 1 Enter your answer as a vector

An electrician worked 28 hours a week for half a year If his hourly wage was 25 how much did he earn during this time period OA 700 OB 36 400 O C 350 D 18 200

Which of the following geometric objects occupy one dimension Check all that apply A Ray B Point C Triangle D Line E Segment F Plane

Many rules concerning two dimensional geometry have three dimensiona analogues OA True B False

What is the volume of the cylinder below OA 45 units OB 727 units 3 C 90 units 3 3 O D 36 units 3 5

me s credit card has an APR of 18 calculated on the previous monthly balance and a minimum payment of 2 starting the month after the first purchase His credit card record for the last 7 months is shown in the table below End of month 1 234567 Previous balance 0 00 2200 00 2189 00 2178 06 2167 16 2156 33 2145 55 New charges 2200 00 A 65 18 OB 260 72 C 32 18 D 195 54 0 00 0 00 0 00 0 00 0 00 0 00 Payment received 0 00 44 00 43 78 43 56 43 34 43 13 42 91 Finance charges 0 00 33 00 32 84 32 67 32 51 32 34 32 18 Principal paid 0 00 11 00 10 95 10 89 10 84 10 78 10 73 New balance 2200 00 2189 00 2178 06 2167 16 2156 33 2145 55 2134 82 What is the total amount that Jerome has paid in interest over the 7 months

has an APR of 19 calculated on the previous monthly balance and a minimum payment of 2 starting the month after the first purchase His credit card record for the last 7 months is shown in the table below End of month 1 234567 5 Previous balance 0 00 2400 00 2390 00 2380 04 2370 12 2360 25 2350 41 New charges 2400 00 OA 285 02 OB 47 01 C 59 38 OD 225 64 0 00 0 00 0 00 0 00 0 00 0 00 Payment received 0 00 48 00 47 80 47 60 47 40 47 20 47 01 Finance charges 0 00 38 00 37 84 37 68 37 53 37 37 37 21 Principal paid 0 00 10 00 9 96 9 92 9 88 9 83 9 79 New balance 2400 00 2390 00 2380 04 2370 12 2360 25 2350 41 2340 62 What is the total amount that Benjamin has made in payments over the 7 months

Darnell s credit card has an APR of 19 calculated on the previous monthly balance and a minimum payment of 2 starting the month after the first purchase His credit card record for the last 7 months is shown in the table below End of month 1 234567 Previous balance O 0 00 800 00 796 67 793 35 790 04 786 75 783 47 A 9 B 21 C 79 New charges 800 00 D 19 0 00 0 00 0 00 0 00 0 00 0 00 Payment received 0 00 16 00 15 93 15 87 15 80 15 73 15 67 Finance charges 0 00 12 67 12 61 12 56 12 51 12 46 12 40 Principal paid 0 00 About what percentage of Darnell s payments so far have gone to paying interest 3 33 3 32 3 31 3 29 3 28 3 26 New balance 800 00 796 67 793 35 790 04 786 75 783 47 780 21

Dane s credit card has an APR of 16 calculated on the previous monthly balance His credit card record for the last 7 months is shown in the table below End of month 2 3 7 Previous balance 0 00 302 00 246 02 123 32 113 49 108 35 220 71 A 133 34 B 193 00 C 220 71 New charges 302 00 229 00 283 21 19 00 47 00 83 00 148 00 193 00 Payment received 0 00 289 01 144 98 58 47 89 65 37 09 133 34 Finance charges 0 00 4 03 3 28 1 64 1 51 1 44 2 94 Principal paid 0 00 284 98 141 70 56 83 88 14 35 65 130 40 New balance 302 00 246 02 123 32 113 49 On what amount of money will Dane be charged interest for month 8 108 35 220 71 283 31

Sheila has a balance of 1190 on her credit card which she plans to pay by making a payment of the same amount each month Which of these monthly amounts will allow Sheila to pay off her balance the fastest A 25 OB 35 O C 30 OD 20

balance His credit card record for the last 7 months is shown in the table below End of month 1 234567 Previous balance 0 00 47 00 186 07 0 00 28 57 107 38 74 33 New charges 47 00 182 00 34 00 98 00 101 00 21 00 99 00 OA 83 39 OB 74 43 OC 99 00 OD 91 98 Payment received 0 00 44 22 225 19 69 43 22 98 57 00 91 98 Finance charges 0 00 1 29 What is the new balance at the end of month 7 5 12 0 00 0 79 2 95 2 04 Principal paid 0 00 42 93 220 07 69 43 22 19 54 05 89 94 New balance 47 00 186 07 0 00 28 57 107 38 74 33

Patrice s credit card has an APR of 11 calculated on the previous monthly balance and a minimum payment of 2 starting the month after the first purchase Her credit card record for the last 7 months is shown in the table below End of month 3 5 6 7 Previous balance 0 00 3900 00 3057 75 3815 96 3774 62 3733 73 3693 28 New charges 3900 00 30 00 A 208 77 B 40 01 C 455 51 D 246 73 50 00 30 00 50 00 50 00 50 00 Payment received 50 00 78 00 77 16 76 32 575 49 74 67 73 87 Finance charges 30 00 35 75 35 36 34 98 534 60 34 23 33 86 Principal paid 0 00 42 25 41 79 41 34 40 89 40 45 40 01 New balance 3900 00 3857 75 3815 96 3774 62 3733 73 3693 28 3653 27 How much of the 3900 charge that Patrice made during the first month has been paid off

Abraham s credit card has an APR of 13 calcula balance and Abraham makes a payment of 50 every month His credit card record for the last 7 months is shown in the table below End of month 234567 Previous balance 0 00 41 00 220 44 243 83 219 47 316 85 603 28 New charges 41 00 229 00 71 00 A 2 39 B SO C 0 44 D 0 78 23 00 145 00 333 00 78 00 Payment received 0 00 50 00 50 00 50 00 50 00 50 00 50 00 What were the finance charges in month 2 Finance charges SO 00 2 39 2 64 2 38 3 43 6 54 Principal paid 0 00 49 56 47 61 47 36 47 62 46 57 43 46 New balance 41 00 220 44 243 83 219 47 316 85 603 28 637 82

At the beginning of the day the sum of the stocks in the Dow Jones was 10 289 57 At the end of the day the sum of the stocks in the Dow Jones was 10 124 19 What was the rate of change of the Dow Jones on this particular day A 1 6 OB 1 2 C 1 8 D 1 0

Suppose there is a simple index of three stocks stock ABC stock XYZ and stock QRS Stock ABC opens on day 1 with 4000 shares at 3 15 per share Stock XYZ opens on day 1 with 5000 shares at 4 30 per share Stock QRS opens on day 1 with 6000 shares at 4 60 per share The price of stock ABC on day 8 begins at 3 50 The price of stock XYZ on day 8 begins at 3 90 Stock QRS opens on day 8 with a price of 4 50 per share Assume that each stock has the same number of shares that it opened with on day 1 What is the rate of change of this simple index over 1 week A 1 9 B 2 0 OC 2 0 D 1 9

Let x be a random variable that represents white blood cell count per cubic milliliter of whole blood Assume that x has a distribut that is approximately normal with mean 7 600 and estimated standard deviation 1 700 A test result of x 3 500 is an indication of leukopenia This indicates bone marrow depression that may be the result of a viral infection LUSE SALT a What is the probability that on a single test x is less than 3 500 Round your answer to four decimal places 0 0082 x b Suppose a doctor uses the average x for two tests taken about a week apart What can we say about the probability distribution of X The probability distribution of x is approximately normal with 7600 and 850 The probability distribution of x is not normal The probability distribution of x is approximately normal with 7600 and The probability distribution of x is approximately normal with 7600 and What is the probability of x 3 500 Round your answer to four decimal places 0 00794 X 1700 1202 0815 c Repeat part b for n 3 tests taken a week apart Round your answer to four decimal places

On a particular day the Dow Jones had a rate of change of 1 7 Which of the following statements must also be true A The Nasdaq increased B Every stock in the Dow Jones increased O C The S P 500 increased D The average of the 30 stocks in the Dow Jones increased

3 Find exact values of the six trigonometric functions for the angle by hand Do not use a calculator 4 sin 3 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression

Which deduction is optional O A Disability insurance OB Medicare OC Social Security OD FICA

Match the correct key term to each definition Reverses the order of the hypothesis and the conclusion The process of reasoning logically from given statements or facts to a conclusion Applies the opposite of the statement A single true statement that combines a true conditional and its true converse Reverses the order of the hypothesis and the conclusion as well as negates the conditional statement Negates both the hypothesis and the conclusion of a conditional statement A statement that can help you identify or classify an object A statement is either true or false An if then statement that has a hypothesis and conclusion Choose Choose Converse Negate Deductive Reasoning Conditional statement Biconditional statement Contrapositive Truth value Good definition Inverse Choose Choose Choose Choose

y 6x 18

Graph the following function over a one period interval y 4 csc 2x Choose the correct graph below O A AY 10 10 X o Q OB Ay 10 10 O C Ay 104 1 10 AV O D Ay 104 10

Graph the given function over a one period interval y csc x 27 Choose the correct graph below O A Ay 10 10 t x 3 215x 2 2 1 A oo OB Ay 10 P 3x 2x 51 T 15 5 10 G O C Ay 10 10 I 3

A solid with surface area 50 square units is dilated by a scale factor of k to obtain a solid with surface area 200 square units Find the value of k 4 1 O2

lim sin x 4 sin 4 2 0 sin x 4 O sin x cos 4 cos x sin 4 sin a sin 4 cos x cos 4 sin a sin 4 cos x cos 4 sin x cos 4 cos x sin 4 W So sin 4 sin 4 sin z cos 4 sin 4 cos x 1 sin x cos 4 cos z sin r sin x 4 sin 4 So 0 0 sin z cos 4 sin 4 cos z 1 H sin 4 sin 4 A sin z 4 sin 4 lim 2 0 sin z cos 4 lim 0 Part 2 of Part 3 of 5 Part 4 of 5 Part 5 of 5 sin 4 cos z 1

7 14 5 10 5 5 4 7

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Charlene took out a 25 year loan from her bank for 115 000 at an APR of 4 8 compounded monthly If her bank charges a prepayment fee of 6 months interest on 80 of the balance what prepayment fee would Charlene be charged for paying off her loan 8 years early OA 1017 04 OB 527 16 OC 674 92 D 658 95

traits ed together on the project Re write the sentence considering technical writing 2 Salem drove northward at a slow rate Re write the sentence considering technical writing traits 3 Change the following long word to a shorter word Terminate 4 The thesis consists of tens of pages What is the problem of this sentence 5 Replace the phrase Make a replacement of with ONE word only 6 Most of the students passed the midterm exam Improve technically 7 Rami slept soon after midnight Improve technically 8 Dr Amal will be coming to class 222 on May 4 to see if students have any questions at that time so that she will answer Make the sentence shorter 9 In the month of March my family will make a visit to the city of Aqaba in the Hashemite Kingdom of Jordan Make the sentence shorter 10 It is my decision to stay home tonight Improve technically

The headings and sub headings in the table of contents should exactly match the headings and sub headings in the report Select one O True O False

When you send an email a memo or a letter to your colleague Rashed you better begin your email memo or letter as follows Select one O a Dear rashed O b Hello Rashed c Dear Rashed d dear Rashed O

Interviewing skills require common sense and do not include Select one O O a staring at the interviewers b sitting and standing straight c arriving 10 minutes early d wearing proper attire

The focus of technical writing is often with the text rather than the graphics Select one O True False

One of the secrets for successful communications with people is to Select one O O O a be talkative b smile c be funny d laugh

The Select one O O O component of the thesis has to be numbered with Arabic numerals a abstract b discussion c acknowledgement d table of contents

When you read a novel it is the responsibility of the writer to make readers understand the writing Select one O True O False