Basic Math Questions and Answers

24x 1 k a is increasing on the interval s 1 12 k a is decreasing on the interval s k z has a maximum of k z has a minimum of The domain of k x is The range of k z is If any of the above do not exist leave the answer box blank Graph k x on your calculator and answer the following questions at x at x xo 1 U 1 00

Audra owns a rental house She makes mortgage payments of 1 310 per month which include insurance and pays 1 980 per year in property taxes and maintenance Utilities are paid by the renter Ignore income taxes change in property value and change in equity How much should Audra charge for monthly rent to cover her costs Charge for monthly rent to cover

Felice bought a duplex apartment at a cost of 230 000 Her mortgage payments on the property are 1 070 per month Her real estate taxes total 2 112 per year and insurance costs 900 per year She estimates that she will spend 1 530 each year per apartment for maintenance replacing appliances and other costs The tenants will pay for all utilities Ignore income taxes changes in equity value and changes in property value What monthly rent must she charge for each apartment to break even Do not round intermediate calculations Round your answer to 2 decimal places Rent per apartment to break even

Consider the following Compromising Managers choice function for choosing a team of k people There are two managers of a team and each has submitted their own preference ranking of applicants They decide to choose applicants as follows First they choose the top applicant according to the list of the first manager Then they choose the highest ranked remaining applicant according to the list of the second manager Then they choose the highest ranked remaining applicant according to the list of the first manager then back to the second and so on until a total of k applicants have been selected Is this choice function guaranteed to be substitutable no matter how managers rank applicants Explain your answer using examples if needed Your explanation should demonstrate a clear understanding of the meaning of substitutability in this context

The US government currently runs two lotteries to determine H1B visas The first is for all applicants and the second is only for those with a masters degree from a US institution Suppose that there are 60000 available in the first lottery and 15000 available in the second and if there are 227000 total applicants of whom 100000 are eligible for the second round For each advanced degree candidate what is the overall probability that their application will be granted Express your answer as a percent rounded to the nearest whole number so for 63 enter 63 Type your answer

Valarie invests 4500 into a account that has a fixed annual interest rate and is compounded continuously After 7 years the balance of the account is 10500 What is the interest rate of the account O 13 5 O 9 3 O 8 2 12 1

Riley invests a sum of money into a retirement account with an annual interest rate of 7 3 compounded continuously After 25 years the account has a balance of 22 500 What was the original investment Write the value of each variable if the value is unknown write a A P al IF 4 11

If you invest 1 000 at an annual interest rate of 5 compounded continuously calculate the final amount you will have in the account after seven years O 1419 07 O 33115 45 O 1035 62

omework Ch 13 INTEREST RATE Percent 05 9 S 4 3 2 0 0 Supply 100 200 Demand 300 400 500 600 LOANABLE FUNDS Billions of dollars 700 800 is the source of the supply of loanable funds As the interest rate falls the quantity of loanable funds supplied than the quantity of la the interest rates they charge thereb the quantity of loanable funds demanded moving the market Suppose the interest rate is 4 5 Based on the previous graph the quantity of loanable funds supplied is of loanable funds This would encourage lenders to demanded resulting in a the quantity of loanable funds supplied and

Use the simplex method Minimize g 11x 9y 12z subject to x y z 6 y 2z 2 8 x 2 x y z g

LOANABLE FUNDS Billions of dollars Scenario 1 Suppose savers either buy bonds or make deposits in savings accounts at banks Initially the interest income earned on bonds or deposits is taxed at a rate of 18 Now suppose there is a decrease in the tax rate on interest income from 18 to 14 Shift the appropriate curve on the graph to reflect this change This change in the tax treatment of saving causes the equilibrium interest rate in the market for loanable funds to spending to Scenario 2 An investment tax credit effectively lowers the tax bill of any firm that purchases new capital within some relevant time period Suppose the government repeals a previously existing investment tax credit Shift the appropriate curve on the graph to reflect this change The repeal of the previously existing tax credit causes the interest rate to This change in spending causes the government to run a budget and the level of investment to Scenario 3 Initially the government s budget is balanced then the government significantly increases spending on national defense without changing taxes and the level of investment which national saving

Question 24 What are some idea gathering strateg and effect essay Choose all that app

estion 23 entence fragment is a grammatica sing choose all that apply

Question 21 igurative language is a tool that writers nderstand an idea or concept It create Which of the following are types of figu pply

Question 25 An independent clause is part of a sentence th redicate verb and can stand on its own as a Which of the following are examples of indep pply

estion 27 takes in reasoning that weaken an clusions are known as

stion 17 ast bit of information in a webs n as the source s

Question 26 Choose the best answer to complete t Money may not be the most important have enough than to be poor

Attempts Average 1 3 The meaning of saving and investment Classify each of the following scenarios listed in the table below using the macroeconomic definitions of saving and investment Investment O Dina borrows money to build an addition to a lab owned by her engineering firm Charles purchases a certificate of deposit at his bank Juanita purchases stock in Tesqar a biotech firm Gilberto takes out a mortgage for a new house in Cleveland Saving O O O O O O Grade It Now Save

The tide removes sand from Sandy Point Beach at a rate modeled by the function R given by R t 2 5 sin A pumping station adds sand to the beach at a rate modeled by the function S given by S t 154 1 3t Both R and St have units of cubic yards per hour and tis measured in hours for 0 St 6 At time t 0 the beach contains 2500 cubic yards of sand Write an expression for Yt the total number of cubic yards of sand on the beach at time t

tion 19 s the strongest type of evidence han essay

Question 16 ne of the most important skills you will maste inking Which of the following actions will he ur critical thinking abilities Choose all that a Consider alternative answers to a problem you are Sook out alter

on 12 discussion of both the similarit or ideas is called

stion 11 be of run on sentence that plete sentences are joined

uestion 4 hich of the following sentences are ply

tion 3 of the following sentences are gra

Determine the quadrant in which the terminal side of lies a tane 0 and cose 0 Choose one b cose 0 and sin0 0 Choose one quadrant I quadrant II quadrant III quadrant IV S

Determine the a total cost of renting the vehicle and b cost per mile 7 Dallas Palmeri rented an SUV with 150 free miles and 0 25 for each additional mile for 62 93 per day Dallas rented the vehicle for 5 days drove 428 miles and paid 63 13 for gas 3 points A B

Find the equation of the exponential function passing through the ordered pair 0 70 and 3 40 Be sure to show all your work

A proper in text citation for a direct quote will include O author date of publication O page number of quoted material O quotation marks around all quoted material O all of the above

You are a government funding agency and have received a large number of grant proposals Each proposal has been reviewed by a panel of experts and classified as meritorious or non meritorious Only meritorious proposals can receive funding There are 356 such proposals and you only have enough funding to support 129 of them You decide to hold a lottery However you want to ensure that at least 75 grants are awarded to proposals from public universities Of the meritorious proposals 118 are from public universities You decide to give each meritorious proposal a lottery number then take the 75 proposals from public universities with the lowest lottery numbers then fund the remaining 54 proposals with the lowest lottery numbers On average how many funded proposals will be from public universities Round your answer to the nearest whole number

Citing a source in text that was paraphrased requires the following information O author O title O author and publication date author and page number no in text citations are required for paraphrased material

Which of the following is a reason to cite sources O giving credit to a source O not plagiarizing O establishing your credibility as a writer through your sources O a and b above all of the above

O True O False Question 6 summaries or paraphrases of a source 2 pts You have not committed plagiarism if you copy a direct quotation into your paper properly credit the source but simply fail to put quotation marks around the borrowed material

around it and crediting the source is plagiarism O True O False Question 8 2 pts You need to document common knowledge such as There are 365 days in a year O True

Try Again Your answer is incorrect Name the quadrant or axis whe 8 0 Quadrant II 3 3 Quadrant II 6 6 Quadrant I

TRIGONOMI Domains and ranges of trigonometric functions e the domains and ranges of the following functi ction cotx COSX secx Domain Range Domain Range Domain Range Choose one Choose one Choose one Choose one Choose one Choose one

Recall that in India students choose whether to declare themselves eligible for vertical reservations and vertical reservation categories are disjoint students can declare themselves eligible for at most one Give a concrete example illustrating that under the new EWS policy a student could be harmed by declaring eligibility for an ST seat

You are the coach of a high school math team and must choose which team members will represent your school at the state tournament The state has imposed the following requirements i your team can consist of at most 8 members ii at most 6 of these members can be juniors or seniors and iii at most 6 members can be men and iv at most 6 members can be women You have tallied total scores for each team member from the regular season and decide to use the top down algorithm from class processing members in decreasing order of their score after all you want to win Which of the following are guaranteed to be true regardless of the seniority gender and scores of your team Check all that apply Your chosen team is guaranteed to respect all of the state s requirements Your chosen team priority dominates any other team that complies with the state requirements Your chosen team will have 8 members so long as it is possible to find a team with 8 members that meets the state requirements The categories identified by the state form a hierarchy

Can writers use I in a persuasive essays a Yes but writers should be aware that inserting I into a sentence too much can shift the focus of the sentence from the topic of the paper to them b No writers should never use I Their audience will not take them seriously c Yes writers should use I as much as possible to show that they re passionate about their topic d Yes writers should use I as much as possible to show their audience how much they know about your topic O a Ob

Please select the true statement a Opinions on debatable topics can be proven if you do enough research b Opinions on debatable topics can be supported if you do enough research c Proving an opinion on a debatable is the goal of research d Ideas that can t be proven as facts have no value Ob O a O C Od

Why should writers of persuasive essays include ideas that oppose go against their own O The writers of persuasive essays should include opposing ideas to build trust with their audience who will see that the writers are willing to acknowledge opposing ideas directly O The writers of persuasive essays include opposing ideas to show their readers how wrong they are O The writers of persuasive essays should never include opposing ideas because they weaken the argument O The writers of persuasive essays include opposing ideas to trick their readers into thinking that the opposing ideas are based on lies

According to a study conducted by an organization the proportion of Americans who were afraid to fly in 2006 was 0 10 A random sample of 1 300 Americans results in 143 indicating that they are afraid to fly Explain why this is not necessarily evidence that the proportion of Americans who are afraid to fly has increased Click here to view the standard normal distribution table page 1 Click here to view the standard normal distribution table page 2 O A This is not necessarily evidence that the proportion of Americans who are afraid to fly has increased above 0 10 because the value of np 1 p is less than 10 OB This is not necessarily evidence that the proportion of Americans who are afraid to fly has increased above 0 10 because the sample size n is more than 5 of the population OC This is not necessarily evidence that the proportion of Americans who are afraid to fly has increased above 0 10 because the sample proportion is very close to 0 10 Type an integer or a decimal O D This is not necessarily evidence that the proportion of Americans who are afraid to fly has increased above 0 10 because the probability of obtaining a value equal to or more extreme than the sample proportion is

of values Graph and label each line ons y x y x and y x 1 Use transformations to complete the table 6 3 0 3 6 A 8 6 4 2 Basic Line 8 6 4 2 2 4 6 8 4 6 8 y x Line a y x Line b y x 1

Find the bearing from O to A N W ZA O 62 E The bearing from O to A is

Find the indicated power using De Moivre s Theorem Express your fully simplified answer in the form a bi 1 1 0 2j X

Express the vector v with initial point P and terminal point Q in component form Assume that each point lies on the gridlines v 8i j X 10 8 6 Q

art B elena finds the area of irregular fig 1 Helena wants to change the f more easily find the area Dra write an expression for the are the total area of the figure Ex

Quest any different two digit nu ole 11 is allowed

Question 2 of 7 ways to select two members from S with repetition For example DD is allowed and BA is the same se M N P Q list of all the ways to select two members from S