Sequences & Series Questions and Answers

Which of the following government entities regulates Fannie Mae and Freddie Mac? A) Government-Sponsored Enterprise Board B) HUD C) Federal Housing Finance Agency (FHFA) D) Office of Federal Housing Oversight Board

Special provisions for agricultural loans may include any of the following EXCEPT A) provide open-end mortgage B) pay larger portions of principal in good years. C) extended term to 40 years. D) follow a rigid payment program

Short-term Treasury securities are called A) Treasury MCOS B) Treasury bills. C) Treasury bonds, D) Treasury notes.

Which approach will the appraiser give the MOST consideration when appraising a commercial property? A) Income approach B) Comparable sales C) Summation approach D) Cost approach

Use Laplace transforms to solve the initial value problem. y"+x+2y=0 x"+x+2y=0 x(0) = 0, y(0) = 0 x'(0) = 1, y'(0) = 1

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 balance of the principal be after the borrower makes the first payment? A) $75,543.66 B) $75,943.33 C) $75,215.00 D) $75,305.28

The Community Development Block Grant (CDBG) program does all of the following EXCEPT A) generate additional funds through local bond initiatives. B) provide money for roads and sewer systems. C) help extinguish poverty in urban areas. D) provide help in rural areas.

What would trigger a full disclosure in an advertisement? A) Annual percentage rate (APR) B) Monthly payments C) Seller may finance D) Easy finance terms

Freddie Mac was originally created as a secondary mortgage market for A) loan products originated by saving and loan associations. B) bank-originated home loans. C) FHA and VA home loans. D) Fannie Mae overflow.

The primary function of the Federal Home Loan Bank today is to A) none of these; it was replaced by the Federal Housing Finance Agency. B) provide fully collateralized loans to member institutions. C) provide any thrift with business guidance. D) supervise state-chartered thrifts.

When a private loan company or an individual provides additional financing using the borrower's equity in the property as collateral, the loan is called A) junior financing. B) hypothecation. C) personal bond. D) securitization.

A release clause is found in a A) deed. B) sales contract. C) promissory note. D) deed of trust.

A cloud on the title may require that A) an affidavit of release be signed by the seller. B) a suit to quiet title be filed. C) the price on the property be increased. D) a second opinion on the title search be obtained.

First in time, first in right generally gives the first lender a priority lien position, the exception being a A) judgment lien. B) mechanic's lien. C) property tax lien. D) second lender.

LTV is the A) 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.

if f(x) = (3x - 4)/5 then f-¹(1) = Select one: a. (4 - 5x)/3 b. (5x + 4)/3 C. 5x - 4/3 d. none of the options given

Which of the following ordered pairs represent the ordered pairs for a function Select one: a. {(1, 3), (2, 6), (1, 9), (0, 12)} b. {(1, 2), (1, 3), (1, 4), (1, 5)} C. {(1, 2), ( 6, 1), (4, 7), (7, 9)} d. {(3, 5), (1, 7), (2, 6), (3, 8)}

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 and solve to find the number of child and adult tickets sold.

When figuring proration of mortgage loan interest for most mortgage loans, interest is paid A) in advance. B) in a lump sum at the beginning of each year. C) every six months. D) in arrears.

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) Percentage lease B) Variable lease C) Gross lease D) Net lease

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 be A) drafted in a letter by the seller and her agent and provided to the buyer. B) addressed in the sales contract. C) discussed by the parties at the closing. D) addressed in the inspection report.

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 obtained A) a reverse mortgage. B) an adjustable-rate mortgage. C) a purchase-money mortgage. D) an overriding deed of trust.

Which of the following is TRUE regarding promissory notes? A) It is also called a security B) It is the borrower's personal promise to repay a debt according to agreed terms C) It protects the borrower against a cloud on the title D) It is the seller's personal promise to sell the property to the buyer

How many and what parties are involved in a deed of trust? A) Three-the mortgagor, the mortgagee, and the beneficiary B) Two-the trustee and the trustor C) Two-the mortgagor and the mortgagee D) Three-the trustee, the trustor, and the beneficiary

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 will B) Estate at sufferance C) Estate for years D) Estate from period to period

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 also has a large supply of cleaner that contains 10% ammonia. How many litres of the 10%-ammonia cleaner does Manny need to add to the 20%-ammonia cleaner to obtain a batch that contains 15% ammonia? Write your answer as a whole number or as a decimal rounded to the nearest tenth.

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 0 = 40° and 0 = 55°. Express x as a function of 0. X =

If, for the given data set, if the mean is 15, find the value of x. 14, 15, 13, 19, 17, 12, x Select one: a. 15 b. 11 C. 13.5 d. 23

For the following data set, find the mean, median, and mode. 98, 101, 103, 103, 112, 117, 124 Select one: a. mean: 108, median: 103, mode: 103 b. mean: 99, median: 112, mode: 103 c. mean: 96, median: 103, mode: 117 d. mean: 103, median: 103, mode: 103

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 120 square feet. The material cost is $172.35 and the cost of installation per square foot is $6.50. What is the total cost, in US dollars (USD), to install the laminate? (Round the answer to the nearest cent.)

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

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 your answer to the nearest whole number.

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) (3.10) d. (0,0) (1, 2) (2, 3) (3,5)

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 base of the plateau? What is your distance from the base of the plateau? meters (Round to one decimal place as needed.)

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 of the variable.

Draw the graph of the function f(x) = 2 -x.

Let v₁ = (1,-1,0) and v₂ = (0,2,0). Given D= (Q=(a,b,c) E RIQ is orthogonal to both v1 and v2) is a subspace of R³ (assume the normal dot product on D). A basis for Dis a. {(0,-1,2)) b. {(1,0,2)} c. {(0,0,2), (1, 0, 1)} d. ((0,0,2))

Find the domain of the function. f(x)=√x+13 What is the domain of f? A. (-00,00) B. [0,00) C. (-∞, -13)U(-13,00) D. [-13,00)

Find sin(x/2), cos(x/2), and tan(x/2) from the given information. cos(x) = -4/5 180° < x < 270°

Find an example of a cyclic group UC Z11. Justify the generator of the cyclic group.

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, of a radioactive element remaining in the area x years after 1986. If even 100 kilograms of the radioactive element remains in the atmosphere, the area is considered unsafe for human habitation. Find f(70) and determine if the area will be safe for human habitation by 2056.

Approximate the number using a calculator. e 2.4

Find two numbers, a and b, such that a/b -b/a is between -2 and -3.

Find the domain of y = log(2-6x). The domain is:

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 how much the final payment will be when the loan is balanced. The loan is balanced when the remaining balance is $0. b. Using the proposed payment, determine the remaining balance after 3 years. c. Using the proposed payment, determine the total amount of interest paid over the entire loan.

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 have that amount when it is due? What is the interest rate per period? (Type an integer or decimal rounded to four decimal places as needed.)

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.

Katie owns a pretzel stand. Her profit, in dollars, is given by the function P(x) = -x² + 14x + 57, where X is the number of pretzels sold. What is the maximum profit, in dollars, Katie can earn?

For the following exercises, use a graphing utility to determine whether the function is one-to-one. f(x) = √x

θ is an acute angle and sin θ and cos θ are given. Use identities to find tan θ, csc θ, sec θ, and cot θ. Where necessary, rationalize denominators. sin θ = 24/25, cos θ = 7/25