Algebra question and answers for December 13, 2023
- Q The following function is given.f(x)=x5x - 4x + 20a. List all rational zeros that are possible according to the Rational Zero Theorem.1,1,2,2,20,20,5, -5,10,- 10,4,-4b. Use synthetic division to test several...
- Q Evaluate the Riemann sum for f(x) = 0.9 1.6 sin(2x) over the interval [0, 2] using four subintervals, taking the sample points to be midpoints.
- Q Evaluate the Riemann sum for f(x) = 0.7 -1.5 sin(2x) over the interval [0, 2.5) using five subintervals, taking the sample points to be right endpoints.
- Q Suppose you deposit $2000 in a savings account that pays at an annual rate of 4%. If no money is added or withdrawn from the account, how many years will...
- Q Confidence levels are 90%, 95% and 99%.Which confidence intervals match with the correct level?(5.6, 14.4) (7.2, 12.8) and (6.6, 13.4)
- Q What group promulgates forms for mandatory use by license holders?A) The Texas Association of REALTORSB) The legislatureC) TRECD) The broker-lawyer committee
- Q The TREC Addendum for Property Subject to Mandatory Membership in a Property Owners Association provides that the seller is to provide information to buyer regarding material changes to the subdivision...
- Q Which of the following methods of purchasing does NOT require the use of a TREC-promulgated addendum to define the transaction's financial details?A) Third-party financingB) Assumption of existing lienC) Seller financingD)...
- Q If there is no dollar amount inserted in paragraph 23 of the TREC One to Four Family Residential Contract but the time period shows as being 10 days, the contractA)...
- Q If you randomly select a letter from the phrase "Sean wants to eat at Olive Garden," what is the probability that you select a consonant? (Your answer must be in...
- Q Which of the following statements is FALSE?A) The promise of the purchaser to buy and the promise of the seller to deliver title are adequate consideration to create a legally...
- Q If the buyer and seller agree that the seller will leave the living room television with the home after closing, they should use theA) Non-Realty Items Addendum.B) Notice to Prospective...
- Q Use a half- angle to find the exact value of sin 157.5b) Peter and Li leave their hotel on rented cars at the same time and travel along straight highways...
- Q The original maker of a VA loan remains liable when the loan is assumed unless the veteran receivesA) a Release of LiabilityB) a Certificate of Reasonable ValueC) a Certificate of...
- Q All of the following are true about VA loans EXCEPTA) some of a veteran's dependents may be able to use the veteran's benefits to purchase a home.B) the appraisal for...
- Q One of the primary duties of the Federal Housing Finance Agency is toA) regulate Fannie Mae and Freddie Mac.B) maintain the Consumer Price Index to less than 2% annual growth.C)...
- Q When would a banker generally discuss a participation loan?A) When the borrower has insufficient funds to complete the transactionB) When the banker's loan to a borrower is at its limitC)...
- Q ECOA includes protection for all of the following protected classes EXCEPTA) sexual orientationB) marital status.C) age.D) receipt of public assistance.
- Q When evaluating a loan application, a loan officer will consider all of the following EXCEPTA) the ability of the borrower to repay the loan.B) the applicant's past credit record.C) the...
- Q Financial leverage is described asA) using an income stream from rental property to acquire more real estate.B) using other people's money to acquire something of value.C) "margin" purchasing, which is...
- Q The promissory note is aA) negotiable instrument that may be sold.B) nonnegotiable instrument that may be soldC) nonnegotiable instrument that cannot be sold.D) negotiable instrument that cannot be sold.
- Q An investor purchased shares in a REMT at the suggestion of a securities broker. The REMT derives income from all of the following EXCEPTA) registered debenturesB) profits from buying and...
- Q Fannie Mae was created for the sole purpose ofA) providing a loan exchange mechanism for qualified lenders.B) offering loan programs that require a 20% down payment.C) providing a secondary market...
- Q Which of the following information is on a credit report?A) List of assets owned by the borrowerB) The borrower's marital statusC) Status of the borrower's current credit accountsD) The borrower's...
- Q Which of the following government entities regulates Fannie Mae and Freddie Mac?A) Government-Sponsored Enterprise BoardB) HUD C) Federal Housing Finance Agency (FHFA)D) Office of Federal Housing Oversight Board
- Q Special provisions for agricultural loans may include any of the following EXCEPTA) provide open-end mortgageB) pay larger portions of principal in good years.C) extended term to 40 years.D) follow a...
- Q Which approach will the appraiser give the MOST consideration when appraising a commercial property?A) Income approachB) Comparable salesC) Summation approachD) Cost approach
- Q Short-term Treasury securities are calledA) Treasury MCOSB) Treasury bills.C) Treasury bonds,D) Treasury notes.
- Q Use Laplace transforms to solve the initial value problem.y"+x+2y=0x"+x+2y=0x(0) = 0, y(0) = 0x'(0) = 1, y'(0) = 1
- Q A borrower obtains a $76,000 mortgage loan at 11% % interest. If the monthly payments of $785 are credited first on interest and then on principal, what will the balanceof...
- Q The Community Development Block Grant (CDBG) program does all of the following EXCEPTA) generate additional funds through local bond initiatives.B) provide money for roads and sewer systems.C) help extinguish poverty...
- Q What would trigger a full disclosure in an advertisement?A) Annual percentage rate (APR)B) Monthly paymentsC) Seller may financeD) Easy finance terms
- Q Freddie Mac was originally created as a secondary mortgage market forA) loan products originated by saving and loan associations.B) bank-originated home loans.C) FHA and VA home loans.D) Fannie Mae overflow.
- Q The primary function of the Federal Home Loan Bank today is toA) none of these; it was replaced by the Federal Housing Finance Agency.B) provide fully collateralized loans to member...
- Q When a private loan company or an individual provides additional financing using the borrower's equity in the property as collateral, the loan is calledA) junior financing.B) hypothecation.C) personal bond.D) securitization.
- Q A release clause is found in aA) deed.B) sales contract.C) promissory note.D) deed of trust.
- Q First in time, first in right generally gives the first lender a priority lien position, the exception being aA) judgment lien.B) mechanic's lien.C) property tax lien.D) second lender.
- Q A cloud on the title may require thatA) an affidavit of release be signed by the seller.B) a suit to quiet title be filed.C) the price on the property be...
- Q LTV is theA) ratio between the loan amount and the sales price.B) ratio between the loan amount and the lending fees and appraisal.C) mandated sales price.D) amount of the loan.
- Q if f(x) = (3x - 4)/5 then f-(1) =Select one:a.(4 - 5x)/3b.(5x + 4)/3C.5x - 4/3d.none of the options given
- Q Which of the following ordered pairs represent the ordered pairs for a functionSelect one:a.{(1, 3), (2, 6), (1, 9), (0, 12)}b.{(1, 2), (1, 3), (1, 4), (1, 5)}C.{(1, 2), (...
- Q Mary Grace is selling tickets for a high school play. Child tickets cost $5 and adult tickets cost $11. She sells 145 and collects $1295. Setup a system of equations...
- Q When figuring proration of mortgage loan interest for most mortgage loans, interest is paidA) in advance.B) in a lump sum at the beginning of each year.C) every six months.D) in...
- Q Which type of lease, generally used for retail businesses, bases its rent on a minimum fixed rental fee plus a portion of the gross income generated by the tenant's business?A)...
- Q The buyer and the seller have agreed that the seller will remove a huge birdbath in the backyard before the buyer takes possession of the property. This agreement should beA)...
- Q A buyer purchased a home for cash 30 years ago. Today the buyer receives monthly checks from a mortgage lender that supplement her retirement income. The buyer MOST likely has...
- Q Which of the following is TRUE regarding promissory notes?A) It is also called a securityB) It is the borrower's personal promise to repay a debt according to agreed termsC) It...
- Q How many and what parties are involved in a deed of trust?A) Three-the mortgagor, the mortgagee, and the beneficiaryB) Two-the trustee and the trustorC) Two-the mortgagor and the mortgageeD) Three-the...
- Q Which type of estate is created when the landlord and tenant enter into an agreement for an indefinite time with no specific termination date?A) Estate at willB) Estate at sufferanceC)...
- Q For a big cleaning job, Manny wants to mix some ammonia-based cleaners to get a certain concentration of ammonia. He has 5 litres of cleaner that is 20% ammonia. He...
- Q A 160-ft redwood tree casts a shadow. Express the length x of the shadow as a function of the angle of elevation of the sun 0. Then find x when...
- Q If, for the given data set, if the mean is 15, find the value of x.14, 15, 13, 19, 17, 12, xSelect one:a. 15b. 11 C. 13.5 d. 23
- Q For the following data set, find the mean, median, and mode.98, 101, 103, 103, 112, 117, 124Select one: a. mean: 108, median: 103, mode: 103b. mean: 99, median: 112, mode:...
- Q A contractor is hired to install laminate flooring. The total cost consists of a fixed material cost, and an installation cost per square foot. The area of the floor is...
- Q If you were to make a box and whisker plot from the following set of data, what would be the values for Q1 and Q3?4, 2, 6, 4, 10, 9
- Q You want to build a bicycle ramp that is 10 ft long and makes a 30 degree angle with the ground. What would be the height of the ramp? Round...
- Q Which of the following sets of points represents a linear model?Select on a. (0.4) (1,5) (2, 6) (3, 7) b. (0,4) (1,6) (2,7) (3, 10) c. (0, 2) (1,5) (2,7)...
- Q Suppose that you are headed toward a plateau 23.7 meters high. If the angle of elevation to the top of the plateau is 24.5, how far are you from the...
- Q A function is given.g(x)=4/x+9;x = 0, x = h(a) Determine the net change between the given values of the variable.(b) Determine the average rate of change between the given values...
- Q Draw the graph of the function f(x) = 2 -x.
- Q Find the domain of the function.f(x)=?x+13What is the domain of f? A. (-00,00) B. [0,00)C. (-?, -13)U(-13,00)D. [-13,00)
- Q Let v? = (1,-1,0) and v? = (0,2,0). Given D= (Q=(a,b,c) E RIQ is orthogonal to both v1 and v2) is a subspace of R (assume the normal dot product...
- Q Find sin(x/2), cos(x/2), and tan(x/2) from the given information.cos(x) = -4/5180 < x < 270
- Q Find an example of a cyclic group UC Z11. Justify the generator of the cyclic group.
- Q The 1986 explosion at a nuclear lab sent about 1000 kilograms of a radioactive element into the atmosphere. The function f(x) = 1000(0.5) x/30 describes the amount, f(x), in kilograms,...
- Q Approximate the number using a calculator.e 2.4
- Q Find the domain of y = log(2-6x).The domain is:
- Q Find two numbers, a and b, such that a/b -b/a is between -2 and -3.
- Q Consider the student loan information here: balance of $42,350 with proposed payment of $413, and an interest rate of 6.49% annual interest compounded monthly. a. Using the proposed payment, determine...
- Q A company has agreed to pay $3.2 million in 8 years to settle a lawsuit. How much must it invest in an account paying 9% annual interest compounded monthly to...
- Q Let A be a non-empty subset of a metric space (X, d). Define the function f:X ?R by f(x) = d(x, A). Prove that fis continuous.
- Q Katie owns a pretzel stand. Her profit, in dollars, is given by the function P(x) = -x + 14x + 57, where X is the number of pretzels sold. What...
- Q For the following exercises, use a graphing utility to determine whether the function is one-to-one.f(x) = ?x
- Q ? is an acute angle and sin ? and cos ? are given. Use identities to find tan ?, csc ?, sec ?, and cot ?. Where necessary, rationalize denominators.sin...
- Q An Enterprise company has an annual demand capacity of 40,000 units at a maintenance cost of $1. Currently, the company wants to reduce setup time by investing $111 to lower...
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