Geometry Questions

Cavalieri s principle states that two solids with equal heights and cross sectional volumes at every level have equal areas OA True O B False

The volume of a cylinder is the base B times the length of its height h Which of the following is the formula for the volume of a cylinder A V Bh OB V 2BW O C V Bh D V Bh

What is the volume of the cylinder below A 968 units OB 352 units OC 1815 units OD 204 units 11 15

What is the volume of the regular pyramid below 5 C 5 OD 96 units3 OA 75 units OB 225 units O C 135 units

Find the volume of the pyramid below 13 10 12 10 A 1300 units3 OB 433 units OC 1200 units OD 400 units3

What is the volume of the cone below 22 6 OA 792 units OB 132 units C 264 units3 OD 396 units

What is the volume of the regular pyramid below 81 O A 270 units OB 2700 units O C 810 units 10 10 OD 8100 units

Which solid has a greater volume 8 3 6 D It cannot be determined A Figure A has a greater volume B Figure B has a greater volume C They are equal

Find the volume of the cone shown below 12 00 50 15 A 972 units B 324 units3 C 972 units3 D 324 units3

What is the volume of the cone below 84 11 OA 924 units OB 10 164 units OC 5082 units OD 3388 units

Given a right pyramid with base area B and height h what does Bh represent OA Cross sectional volume OB Cross sectional area OC Surface area D Volume

Given a right cone with base area B and height h what is the formula for the volume A V Bh B B V Bh OC V Bh D V Bh

23 The perimeter of the trapezoid below is 54 What is its area 12 18 14

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

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

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

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

Melvin has a balance of 5140 on a credit card with an APR of 17 6 Paying off his balance in which of these lengths of time will result in him paying the least amount of interest A 8 months OB 10 months C 6 months D 12 months

Quadrilateral EFGH is an isosceles trapezoid EG 7z 40 and FH 8z 54 What is the value of z F Submit D E H G Work it out

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

1 2 Given the picture above what do we know about segment CD3

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

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

What is the name of an investment that pools money from many investors in order to acquire a large variety of stocks bonds and other investments O A Annuity OB Derivative C Mutual fund

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

Suppose there is a simple index of two stocks stock A and stock B Stock A opens on Monday with 10 000 shares at 5 50 per share Stock B opens on Monday with 8000 shares at 6 25 per share Stock A opens on Tuesday at 5 80 per share and stock B opens on Tuesday at 6 65 per share Both stocks have the same number of shares that they opened with on Monday What is the rate of change of this simple index over 1 day O A 5 9 OB 5 6 O C 5 6 OD 5 9

What is the name of indicator of stock market prices that is the average of 30 selected industrial stocks OA S P 500 B SEC C Dow Jones

At the beginning of the day stock XYZ opened at 6 12 At the end of the day it closed at 6 88 What is the rate of change of stock XYZ A 12 4 B 6 8 C 6 1 D 1 2

What is the name of the federal agency that regulates the investment industry A NYSE OB SEC O C S P 500

Which income tax system is based on tax brackets OA Net income tax B Sales tax C Progressive tax D Flat tax

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

Which of the following is a required deduction OA Disability insurance OB Health insurance O C Medicare O D Medicaid

If employees who make more money pay a higher percentage of their income to the government this is known as OA regressive taxation B progressive taxation C federal income taxation OD flat taxation

Calvin received bimonthly paychecks of 2007 25 last year If 17 1 of his yearly income got withheld for federal income tax how much got withheld for federal income tax from each of Calvin s paychecks last year A 343 23 OB 82 38 OC 34 32 D 823 78

Find the area of the figure Round decimal answers to the nearest tenth 16 17 18 h 3 in 5 in A 3 4 2 C 52 32 b 6 in 2 A b 4 A 48 inch wide screen television means that the measure along the diagonal is 48 inches If the screen is a square what are the dimensions of the TV C 12 cm 251373 171126 25 9 b 15 cm 13 ft 10 ft 13 ft C

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

Kassandra had a gross income of 3 008 33 during each pay period of the year If she got paid monthly how much of her annual income was deducted for FICA A 2 761 64 B 523 45 OC 2 400 65 D 2 238 20

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

2 3 60 X y 30

In circle G mHF 120 Solve for r if m HIF 42 28 If necessary round your answer to the nearest tent H