Coordinate system Questions and Answers

Method X 21 12 32 D 5 X 2 Method 10 X

The Fourier Transform of the signal in the figure is A x t 4 2 O1 Xn 4sinc 2f cos 6nt O 2 None of the answers 03 Xn 2sinc f cos 6nt O4 Xn 4sinc 2f sin 6nt O 5 Xn 2sinc f cos 4nt 1 2 4

Pat invests 100 each month for 6 months into an account that pays 8 APR compounded monthly What is the future value of Pat s account after 6 months OA 605 93 OB 733 59 C 610 09 D 598 76 B

You find a mutual fund that offers approximately 6 APR compounded monthly You will invest enough each month so that you will have 1000 at the end of the year How much money will you have invested in total after 1 year O A 994 60 OB 912 86 C 972 84 OD 711 32

You must use excel or google sheets You must submit your spreadsheet You must show your work for credit There will be no credit for answers with no work I give partial credit for incorrect answers with good work You may insert your answers to question 3 in your excel spreadsheet Again no macros The first two exercises are based on the following values for two variables b C d f g h b C d e f h X 5 X 7 X 9 X4 11 X 13 Y 6 Y 8 Y3 10 Y 12 Y 14 1 Find the value of each of the following expressions a i 2 Find the value of each of the following expressions a i In APA style you must round to two decimal places in almost every case Please practice below 3 Round off the following numbers to two decimal places assume digits to the right of those shown are zero a 144 0135 b 67 245 c 99 707 d 13 345 e 73451

What is the median of the following string of values 51 22 17 28 98 4 24 83 9 76 OA 28 OB 26 OC 24 D 22

What is the y intercept of the line passing through the point 4 5 with a slope of 1 OA 41 10 B 4 O D O O c 49 49 9

A data systems specialist makes 27 an hour for the first 40 hours she works during a week and 35 an hour for each hour over 40 hours Which piecewise equation models her total weekly pay yin dollars as it relates to the number of hours x that she has worked during the week O A y B y OC y OD y 27x 135 x 40 27x 135x 1080 0 x 40 X 40 27x 35x 0 x 40 X 40 0 x 40 27x 35 x 40 1080 x 40 0 x 40 x 40

Vikki has an annual salary of 53 000 and her company pays her twice a month What is the gross income on each paycheck that Vikki receives OA 2208 33 OB 7571 43 OC 1019 23 OD 4416 67

Andrea earns 165 for each digital projector that she sells If she works 5 days a week for 11 hours each day and sells 12 digital projectors a week on average what is her average hourly wage OA 15 an hour OB 33 an hour OC 36 an hour O D 55 an hour

25x 0 x 38 The equation y 30 x 38 950 x 38 represents Jordan s overtime pay structure Based on this equation after how many hours does Jordan start earning overtime pay A 950 B 25 O C 30 D 38

Some polyhedrons are neither prisms nor pyramids OA True B False

What is another name for the height of a prism OA Lateral face OB Altitude O O C Length O D Depth

What is the projection of 3 4 onto 3 1 OA 0 7 3 1 OB 0 7 2 4 OC 1 3 2 4 OD 1 3 3 1

What is the projection of 3 4 onto 3 1 O A 0 7 3 1 OB 0 7 2 4 O C 1 3 2 4 O D 1 3 3 1

Troy worked for 3 hours and 15 minutes How should he write that on his time card A 3 25 OB 3 75 OC 3 15 OD 3 5

How many dimensions does a plane have OA Three OB Two O C One O D Zero

Which of the following is the standard notation for a point in a three dimensional Cartesian coordinate system A x y v OB x y z C x y z OD w x y

Jerome s credit card has an APR of 18 calculate 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 OA 65 18 OB 260 72 C 32 18 OD 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

Tammy got a new credit card with an APR of 21 a month ago and she just got her first credit card statement She charged a bracelet for 17 a purse for 36 and some sunglasses for 11 If her credit card charges interest on the previous monthly balance how much should Tammy pay now so that she doesn t have any interest charged to her on next month s statement A 64 OB 17 O C 11 OD 36

What is the name of the computerized system that provides price quotations for various stocks traded on the market A Nasdaq OB Dow Jones CNYSE

Jasper has an annual salary of 71 000 and his company pays him twice a month What is the gross income per paycheck that Jasper receives OA 2958 33 OB 5916 67 OC 1365 38 D 11 833 33

A high school student working part time as a cashier had a gross income of 8125 last year If her federal tax rate was 10 and her state tax rate was 4 35 what was the amount withheld from her pay last year in federal tax state tax and FICA combined OA 1165 94 B 1787 50 OC 812 50 D 353 44

A pension and Medicare B Medicaid and Social Security O OC income tax and health insurance D Medicare and Social Security

Makenzie lives and works in Colorado which has a flat state income tax of 4 63 If her annual salary is 57 835 and if she gets paid once a month how much is withheld from her gross income for state income tax each pay period OA 223 14 OB 267 78 OC 2231 47 D 2677 76 mark

A linguist had a gross income of 53 350 last year If 17 9 of his income got withheld for federal income tax how much of the linguist s pay got withheld for federal income tax last year OA 95 50 B 954 97 OC 9 55 D 9549 65 SURING

David bought 30 shares of Amazon at the close price of 121 00 In a few years David sells all of his shares at 143 50 How much money did David make OA 655 50 OB 675 O C 695 D 615 50 A

Alex buys 30 shares of Wal Mart at the close price of 48 80 His broker charges him 3 of each share as a transaction fee How much did Alex spenc in total to buy this stock OA 1528 32 OB 1464 00 OC 1507 92 D 1486 48

The measure of the minor arc in the circle shown below is 210 degrees

1 0751 1 0751 pe an integer or decimal rounded to four decimal places as nee

Solve each of the following problems In each case be sure to make a diagram of the situation with all the given information labeled 1 tsosceles Triangle The two equal sides of an isosceles triangle are each 42 centimeters If the base measures 30 centimeters find the height and the measure of the two equal angles Round your answer to the nearest tenth 2 Equilateral Triangle An equilateral triangle one with all sides the same length has an altitude of 4 3 inches Find the length of the sides 3 Length of an Escalator How long should an escalator be if it is to make an angle of 33 with the floor and carry people a vertical distance of 21 feet between floors Round to the nearest tenth 4 Height of a Hill A road up a hill makes an angle of 5 with the horizontal If the road from the bottom of the hill to the top of the hill is 2 5 miles long how high is the hill 5 Circus Tent A rope from the top of a circus tent pole is 72 5 feet long and is anchored to the ground 43 2 feet from the bottom of the pole What angle does the rope make with the pole Give your answer to the nearest tenth of

9 For a certain angle in the first quadrant it is true that sin cos 0 Which of the following statement s is guaranteed to be true 1 tan cot 0 II csc sec 0 III 0 4 A I only B II only C I and III only D I II and III

What is the missing angle in radians Verify the following identities 1 CSCX tan T 2 secx sin x tan x csc x 2 2 tan x CSC CSCX cos x cot x Bec x

Even f x f x Symmetric Identities Even Odd y sinx sinx is sin x A A A A A y cs cx U V A 1 Fev Odd f x f x CSCX is csc x Verify the following identities 1 sinxcsd x 1 y cOSA A A COSX is cos x y secx W ALA secx is sed x 2 cod y tanx tanx is tan x y cotx cotx is cot x

2 9 4 0 1 0 1 m 0 x 4 x0 3 1 4 0 4 1 60 4 and 1 8 X 12 5 6 Write in slope intercept form y x 2 4 and 1 3 X Ya X Y 7X2 y 8 4 m 2 c 10 Y 2m 4 C 8 X 1 and y 3 9 3 m 1 c m 3 tc 23 44c My 3 C MEI 261 4 c 2 4 C Y mX C 13 2 Find the slope 2 points Use the first point and slope to go into point slope form 1 pt Distribute 2 points Isolate y 2 points Final Answer 1 point Find the slope 2 points Use the first point and slope to go into point slope form 1 pt Distribute 2 points Isolate y 2 points Final Answer 1 point

Perform the following calculations and express the result in the correct units and number of significant figu 47 0 m 2 2 S 1 2 140 cm x 35 cm 5 88 kg 200 m 3 4 0 00 50 m x 0 042 m 300 3 L 180 s 5 6 33 00 cm x 2 70 cm 35 000 kJ 0 250 min 8 22 0 m 5 28 m 15 5 m 7 9 0 042 kg 1 229 kg 0 502 kg 10 170 cm 3 5 cm 28 cm

What is the APR of a payday loan for 1460 due in 15 days that charges a 90 fee O A 1500 OB 1 5 O C 150 D 15

ercept Form Worksheet pe of each line work Homework Linear Functions review all three forms Jyinkansala Abror class period 5 e ntercept Form y mx b e the slope and y intercept for each graph Write the equation for the graph in slope inte 2 3 slope slope 3 y intercept equation cept only 3x XL 3 0 3 1 7 5 XI 4 3 2 y intercept equation 54 3 2 1 2 4 3 24 11 2 3 Im X1 X X 123 3 ation in slope intercept form identify the slope and y intercept then graph least three points on each line Show your work Label the x and y axis

10 12 X 45 11 45 X y 26 12 X 3

7 A 10 8 12 45 a 45 b 9 V5 Y V5

In the following problem check that it is appropriate to use the normal approximation to the binomial Then use the normal distribution to estimate the requested probabilities Suppose more than a decade ago high levels of lead in the blood put 89 of children at risk A concerted effort was made to remove lead from the environment Now suppose only 8 of children in the United States are at risk of high blood lead levels LUSE SALT a In a random sample of 202 children taken more than a decade ago what is the probability that 50 or more had high blood lead levels Round your answer to four decimal places X You may have found the complement of the desired probability b In a random sample of 202 children taken now what is the probability that 50 or more have high blood lead levels Round your answer to four decimal places 0 0000

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Graph one period of the given function y sin x x Choose the graph of y sin x x O A 2 Ay n L OB Ay HT S K HKT HTT o o LY www O C Ay H2 Ch 24

Match the function y cos 2x with its graph Which is the correct graph of the equation O A B A OON O C

ert the following degree measure to radians 90 radians Simplify your answer

The two prisms below are similar What is the value of x O A 1 OB 10 O C 15 D 5 121 1 10 15

Angle A is circumscribed about circle O What is the length of AB units C 73 3 B

Jermaine lives in North Carolina and pays 5 5 in sales tax If he just a pair of slacks that cost 28 what was the total amount he paid for the slacks including sales tax OA 26 46 OB 43 40 OC 29 54 OD 15 40

The state of Utah has a sales tax of 4 75 and the maximum rate a consumer can pay for local sales tax is 8 35 What is the range of possible sales tax rates that a consumer could pay on a taxable item in the state of Utah O A At least 4 75 and at most 13 1 O B At least 3 6 and at most 13 1 O C At least 4 75 and at most 8 35 O D At least 3 6 and at most 8 35

Use your Transformations Reference Sheet to follow the rules 1 3 5 7 Reflection across the x axis A V 5 4 3 2 2 8 7 6 5 4 3 2 1 D H 2 1 G Reflection across the line x 3 AY G D X 3 4 5 2 Reflection Across the y axis YA X X 2 4 6 8 Reflection across the line y 5 AV Reflection across the line y x AV K 5 4 3 2 41 1 1 3 4 21 Reflection Across Line y x YA X Reflection Across the line x 1 Reflection across the line y 1 YA AV I k 432 4 3 2 1 2 3 4 X X