Basic Math Questions and Answers

Find the simple interest Principal 7000 The amount of simple interest earned is Rate 13 Time 1 12 years

A student s cost for last semester at her community college was 2100 She spent 210 of that on books What percent of last semester s college costs was spent on books of last semester s college costs was spent on books

Write the percent as a decimal 1 A cup serving of dried fruit delivers 35 of an adult s Daily Value of vitamin A NASER GEARS C The percent written in decimal form is Type a whole number or a decimal

4 Mai has 38 She plans to buy 3 CDs for 12 each MACIC HAVEIDE MACIO HAYRIDE Which number sentence tells how much money she will have left A 38 3 12 n B 38 3 x 12 C 3 x 38 12 n

Angie baked 100 cookies and 20 brownies She wants to split them into equal groups for the bake sale Each group must have the same number of cookies and brownies with none left over What is the greatest number of groups she can make

1 Miss Baker pours lemonade into 6 pitchers She pours 35 each pitcher a About how many milliliters of lemonade are in the pitchers altogether b Exactly how many milliliters of lemonade are in the pitchers altogether c How do you know your answer in part b is reasonable A 2 Sasha has 520 cm of rope She uses 2 m 72 mm of the rope How many millimeters of rope

Which of these sentences is an opinion A great problem with our society is a lack of understanding of the contributions that using renewable energy can have Technological advances have made it possible for solar energy to work even when it is cloudy or during the night Wind solar and hydropower are examples of renewable energy sources Non renewable energy sources such as petroleum natural gas and coal make up over eighty percent of the nation s energy consumption

Convert the following measureme 0 74 liters to kiloliters 0 74 liters kiloliters

3 6 L to centiliters 3 6 L d Type an integ

Convert as indicated 25 L to milliliters 25 L ml Type an integer

Convert the measurement as indicated 53 pt gal qt pt 53 pt gal qt pt Simplify your answer

2 Find the eigenvalues for A 0 5 9 5 1 0

3x 1 Solve 4x x y 2y y z 4 z 7 3z 6

4 10 points Answer the following questions Talking a Consider a two state Markov chain Suppose that in a game of poker win a hand the probability of winning the next hand is However if you lose a hand the probability of winning the next hand is Give the transition matrix of the Markov chain and compute the stable distribution for the Markov chain

3 2 300 cg 4 500 m 5 70 kL m cm

you convert The first one is started for you Liters L 8 Expression 8 10 31 31X10 450 450X10 600 Centiliters CL 800 3100

10 8 6 4 2 2 4 6 8 10 2 4 6 8 10 10 8 6 If a new graph of three linear equations is created using the system equations shown and the equation x 4y 16 how many soluti x y will the resulting system of three equations have A Zero B Exactly one

The following table lists hypothetical values 1 2 Nominal GDP 980 00 2019 1 020 00 2020 1 050 00 2021 1 200 00 2022 1 400 00 Year 2018 3 GDP Deflator base year 2020 90 92 100 105 110 4 Real GDP base year 2020 S 5 6 Percentage GDP change in real Deflator base GDP 7 Real GDP base year 2022 year 2022 81 8 83 6 90 9 95 5 100 Fill in Column 4 by calculating real GDP using the GDP deflator with a base year of 2020 from Column 3 Fill in Column 7 by calculating real GDP using the GDP deflator with a base year of 2022 from Column 6 Enter your responses rounded to the nearest whole number SA 50 A S Fill in Column 5 by calculating the annual percentage change in real GDP for each year using the values from Column 4 Fill in Column 8 by calculating the annual percentage change in real GDP for each year using the values from Column 6 ses rounded to two decimal places and include a minus sign if necessary Estoris 8 Percentage change in real GDP

A simple economy produces two goods Bread and Software Price and quantity data are as follows Production and Prices in Year 1 Base year Quantity 105 650 In Year 2 nominal GDP is equal to and real GDP is Product Bread Software Product Bread Software Price Per Unit Production and Prices in Year 2 Quantity 131 25 975 00 1 50 55 00 Price Per Unit 2 25 110 00 enter both responses rounded to the nearest penny

Suppose the information in the following table is for a simple economy that produces only the following four goods shoes hamburgers shirts and cotton Further as that all of the cotton is used to produce shirts 2012 Statistics Quantity 110 75 60 10 000 2022 Statistics Quantity Price 55 00 2 00 35 00 0 08 Product Shoes Hamburgers Shirts Cotton a If the base year is the year 2012 then real GDP for 2022 equals round your answer to the nearest penny 120 100 55 8 000 2023 Statistics Quantity Price 75 00 2 25 30 00 0 07 Price 70 00 2 00 30 00 0 06 120 120 75 12 000

The following table gives nominal and real GDP for an economy for two years Nominal GDP Real GDP Based on the table in Year 2 the value of the GDP deflator is Year 1 1210 0 1 100 Year 2 1540 0 1320 0 Round your answer to one decimal place

Consider the following simple economy that produces only three goods Real GDP in 2017 equals Product Denim pants Wine Textbooks 2009 Base Year Quantity 80 90 15 Price 40 11 90 Quantity 100 80 20 2017 Price 50 10 100

Suppose that a simple economy produces only the following four goods and services shoes hamburgers shirts and cotton Further assume that all of the cotton used to produce shirts Use the information in the following table to calculate Nominal Gross Domestic Product Nominal GDP for 2022 PRODUCTION AND PRICE STATISTICS FOR 2022 Price Product 60 00 2 00 25 00 0 60 The Nominal GDP for the year 2022 is Shoes Hamburgers Shirts Cotton Quantity 100 100 50 1 800

Social strategies to reduce stress including

The area of the region bounded by the curves y f x 2x 62 is given by OA B C D 6a 2x 6 and y g x x 3x x 3 3x 3a x 3 da 1 32 3x x 3 da 3a 9a 3a 9 da 3 3a 9a 3x 9 da L f 3x 9x 3x 9 dx 3x 9x 3x 9 dx L 32 91 S 3x 9x 3x 9 da 3x 9x x 3 dx 3x 9x x 3 dx

Find all factor pairs for each number 24 48

Test III Fill in the missing number 4 points each 1 2 3 4 5 5810 3A16 10016 8 2008 011100002 8 2A16 2C16 4610 1510 1E16 8 1708 17508 6416 10

In pounds of ten year old girls are collected from a neighborhood A sample of 26 is given below Assuming normality use Excel to find the 98 confidence interval for the population mean weight Round your answers to three decimal places and use Increase order Weight 66 4 86 3 71 3 52 8 68 0 85 0 66 2 79 2 93 5 84 5 71 1 74 5 65 0 58 5 59 8 80 2 69 2 92 9 78 9 59 4 31 66 5 60 7 80 1 60 4 74 5

Guided Practice 2x 3 x 2x 1 find each function value 4B f 6x

1 Consider the following dump of the assembler code for the function getbuf 0x601748 0 push rax 0x60174c 4 sub 0x40 rsp 0x60174f 7 0x601754 12 mov rsp rdi callq add 0x601759 17 Ox60175d 21 pop 0x60175f 23 retq 0x40198a Gets 0x40 rsp rax Gets is similar to the standard library function gets it reads a string from standard input terminated by n or EOF and stores it along with the terminator at the specified destination Function Gets and gets is unable to determine whether the destination buffers are large enough to store the read string Suppose a malicious function is stored at memory address Ox500142 What input should an attacker provide to getbuf to run the malicious function after returning from getbuf

What is the interquartile range for the data set 4 7 7 3 5 2 679 09 O 3 5 07 5 6

That is the five number summary for the data sel 340 245 322 766 88 455 483 610 244 160 min 340 Q1 322 med 455 Q3 483 max 527 O min 88 Q1 244 med 455 Q3 527 max 766 min 88 Q1 244 med 340 Q3 527 max 766 min 88 Q1 244 med 385 Q3 527 max 766 527

Consider the following table GDP Depreciation Corporate earnings Transfer Payments Personal Tax Payments National income NI equals billion Enter your response as an integer Billions of dollars 13 100 1 400 1 250 600 1 500

Real Time Data Analysis Exercise Consider the following data for the United States A the economic growth rate OB profit OC revenue Year 2019 2020 Real time data provided by Federal Reserve Economic Data FRED Federal Reserve Bank of Saint Louis The percentage change in real GDP from 2019 to 2020 2 77 Enter your response rounded to two decimal places and include a minus sign if necessar This percentage change in real GDP is also known as D marginal analysis Real GDP billion 19 036 1 18 509 1

The table below contains data on the number of farms F in thousands in year t 2000 2002 2004 93 91 90 1 1998 F 99 Select the line graph on the right that represents the data Hint Click the magnifying glass in the upper right hand corner of each graph to see it full size SITE O A AF 120 100 80 60 40 20 0 1996 C 120 6 8 8 8 8 100 80 60 40 t 2006 Q Q Q Q B AF 120 100 80 60 40 20 0 1996 O D 120 100 80 60 40 2006 S Q Q EV

Write the ratio as a ratio of whole numbers using fractional notation Write the fraction in simplest form 2 1 12 labor hours to 3 labor hours 3 The ratio in simplest form is Type the ratio as a simplified fraction

As part of an Arbor Day celebration the county of Margiana is planting 35 new trees The trees will be allocated to the county s four parks according to each park s size in acres The park sizes in acres are shown in the table below Use Webster s method to allocate the trees to the parks You may use the apportionment tool to help you To do this turn ON the apportionment tool enter a divisor and click on Compute You will then see the quota the lower quota the rounded quota to the nearest whole number and the upper quota for each park You may also click on active cells to fill in the bottom row Apportionment Tool OFF Park Size in acres Number of trees Boliden 320 J Silverlake 128 Glenesk 157 TE Nurmes 347 1 Total 952 0

A furniture company currently produces 7 200 chairs per month If production increases by 9 how many more chairs are produced each month What is the net quantity of chairs produced each month The increase in the number of chairs produced each month is Enter your response as a whole number

Consider the following data for the United States Year 2019 2020 Real GDP billion 19 036 1 18 509 1 Real time data provided by Federal Reserve Economic Data FRED Federal Reserve Bank of Saint Louis The percentage change in real GDP from 2019 to 2020 Enter your response rounded to two decimal places and include a minus sign if nec

Graph a Choose the correct answer below p increases and then decreases p decreases and then increases Graph b Choose the correct answer below p increases quickly p decreases quickly Graph c Choose the correct answer below p increases remains constant and then increases p decreases remains constant and then decreases Graph d Choose the correct answer below Op decreases sharply and then slowly 9 a c O Q S Q Q S a d b 9 G

Yesterday Jackie had 139 in her checking account Today her account reads Balance 11 Find the difference in these two amounts The difference is these two amounts is Enter your response as a whole number

Using the information in the figure calculate the percentage change in auto sales from 2013 to 2014 The percentage change in auto sales from 2013 to 2014 is equal to Enter your response as a real number rounded to one decimal place Car sales millions 7 5 74 7 34 7 24 7 1 7 6 9 6 8 6 7

Complete the following table Enter your responses rounded to two decimal places Initial value 70 New value 113 Percentage change 786

Refer to the graph on the right What percentage of the marbles are blue 17 6 Enter your response as a percent rounded to one decimal place What fraction of the marbles are yellow What fraction of the marbles are red rounded to two decimal places 10 37 Express your answer as a fraction Enter your response as a decimal CxIn The Number of Marbles Blue marbles 13 Red marbles 20 Lime marbles 9 Yellow marbles 20 Purple marbles 12

Select the scenario that best describes each graph shown on the right Each graph shows a different relationship between p and Q Graph a Choose the correct answer below p increases and then decreases p decreases and then increases Graph b Choose the correct answer below Op increases quickly p decreases quickly 9 a Q Q Q b d

Find the slope of the line and write it as a rate of change The rate of change is mile Enter your response rounded to two decimal places Cost in dollars 12 000 10 000 8000 6000 4000 2000 Owning and Operating a Car 6000 1600 20000 5400 Q Q G

In your economics class you scored a 64 on the first quiz a 82 on the second quiz and an 65 on the third quiz Your average quiz grade is Enter your response rounded to one decimal place

A group of 10 friends decides to head up to a cabin in the woods where nothing could possibly go wrong Unfortunately a number of these friends have dated each other in the past and things are still a little awkward To get to the cabin they need to divide up into some number of cars and no two people who dated should be in the same car a What is the smallest number of cars you need if all the relation ships were strictly heterosexual Represent an example of such a situation with a graph What kind of graph do you get b Because a number of these friends dated there are also conflicts between friends of the same gender listed below Now what is the smallest number of conflict free cars they could take to the cabin Friend A B C Conflicts CEL T AFF D H E CFG F G H I ACECI FFI D AFG J B

Directions Identify the x and y intercepts of the functions graphed below 2 1 x intercept s y intercept 4 x intercept s y intercept 46x Fixt 11 5 x intercept s y intercept x intercept s y intercept 45x W it 3 K x intercept s y intercept 6 x intercept s y intercept 45x 450

ons Given the function below find the average rate of change on each interval 1 5 2 8x fix nd 2 3 0 3 9 7