Mathematical Reasoning Questions and Answers

Mr. Anthony obtains a Timber Sales Agreement concession comprising 45,000 ha for a period of 20 years with an option for renewal for another 20 years. If the non- productive area within the concession is 3000 ha, we assume that Mr. Anthony will be harvesting 20m3 /ha with a cutting cycle of 60 yrs. Calculate the following: The total Concession area in hectares Annual Allowable cut Productive Area Biodiversity Reserve Available Productive Area Net-productive area Total Allowable Cut (TAC) Annual Allowable Area Number of Blocks

Consider the trapezoidal numbers 1+1+1, 1+2+2+2+1, 1+2+3+3+3+2+1,... The nth trapezoidal number is 1+2+...+n+n+n+...+2+1 where n is a positive integer. Complete parts (a) through (c) below.

We are standing on the top of a 432 feet tall building and launch a small object upward. The object's vertical position, measured in feet, after t seconds is h(t) = 16t2 +96t+432. What is the highest point that the object reaches?

As the contestant with the longest winning streak in the history of Jeopardy, Ken Jennings won more than $2.5 million. Suppose he invested $1.6 million in an ordinary annuity that earned 4.8%, compounded monthly. How much would he receive at the end of each month for the next 20 years? (a) Decide whether the problem relates to an ordinary annuity or an annuity due. ordinary annuity annuity due (b) Solve the problem. (Round your answer to the nearest cent.)

How many ways are there to select 3 candidates from 10 equally qualified recent graduates for openings in an accounting firm? There are ways to select 3 candidates from 10 equally qualified recent graduates for openings in an accounting firm (Type a whole number.)

In a colored-counter model, an integer is represented by a set of counters-red and black discs are often used. Black counters represent positive unit values and red counters represent negative unit values. If all the counters are used each time, list all the integers that can be represented with (a) 14 counters (b) 7 counters (a) The following integers can be represented by 14 counters. 7 (Use a comma to separate answers as needed. Use ascending order.)

A student is given two problems and asked to fill in the blanks. He responds to them as given in the second column. What is the student doing incorrectly? Choose the correct answer below. A. The student is incorrectly applying the definition of multiplication in whole numbers. B. The student is incorrectly applying the power operation for whole numbers. C. The student is incorrectly applying the definition of division in whole numbers. D. The student is incorrectly applying multiplication rules of exponentials.

Hong has a bag with 8 balls numbered 1 through 8. He is playing a game of chance. This game is this: Hong chooses one ball from the bag at random. He wins $1 if the number 1 is selected, $2 if the number 2 is selected, $5 if the number 3 is selected, $6 if the number 4 is selected, $8 if the number 5 is selected, and $10 if the number 6 is selected. He loses $14 if 7 or 8 is selected. (a) Find the expected value of playing the game. (b) What can Hong expect in the long run, after playing the game many times? (He replaces the ball in the bag each time.) Hong can expect to gain money. He can expect to win dollars per selection. Hong can expect to lose money. He can expect to lose dollars per selection. Hong can expect to break even (neither gain nor lose money).

Periodic Inventory by Three Methods The units of an item available for sale during the year were as follows: Jan. 1 Inventory 14 units at $35 Feb. 17 Purchase 12 units at $36 Jul. 21 Purchase 18 units at $37 Nov. 23 Purchase 15 units at $38 There are 14 units of the item in the physical inventory at December 31. The periodic inventory system is used. Round average unit cost to the nearest cent and final answers to the nearest whole dollar, if required. a. Determine the inventory cost by the first-in, first-out method. b. Determine the inventory cost by the last-in, first-out method. c. Determine the inventory cost by the weighted average cost method.

Show that there are exactly 2^n(n-1)/2 labelled simple graphs on n vertices How many of these have exactly m edges?

Use our diagram to find the remaining five trig fen vakers. Cosine, tangent, cosecant, secant, cotangent

You are a financial adviser. Your client is thinking of investing $800.00 at the end of every six months for the next 10 years with the invested funds earning 6.5% compounded semi-annually. Your client wants to know how much money she will have after 10 years. What do you tell your client? a. Determine the annuity type. Ordinary Simple Annuity Ordinary General Annuity Simple Annuity Due General Annuity Due b. Identify the following pieces of information to be used to calculate the future value of the annuity. Periodic Payment: PMT= Number of Payments per Year: PY = Total Number of Payments: N = Annual Interest Rate: r = Number of Compoundings per Year: C'Y = c. Your client will have after 10 years.

A card is drawn at random. Let X be the event that the drawn card is grey, and let P(X) be the probability of X. Let not X be the event that the drawn card is not grey, and let P (not X) be the probability of not X.

Jina is putting 12 colored light bulbs into a string of lights. There are 3 white light bulbs, 6 yellow light bulbs, and 3 red light bulbs. How many distinct orders of light bulbs are there if two light bulbs of the same color are considered identical (not distinct)?

Find the number of distinct arrangements of the 12 letters in REENGINEERED. Two of the same letter are considered identical (not distinct).

A bacteria population grows by 10% every 2 years. Presently, the population is 80 000 bacteria. a) Find the population in 8 years from now b) Find the population 12 years ago c) When was the population 25,000?

McCall Manufacturing has a WACC of 10%. The firm is considering two normal, equally risky, mutually exclusive, but not repeatable projects. The two projects have the same investment costs, but Project A has an IRR of 15%, while Project B has an IRR of 20%. Assuming the projects' NPV profiles cross in the upper right quadrant, which of the following statements is CORRECT? a. Each project must have a negative NPV. b. If the crossover rate is 8%, Project B will have the higher NPV. c. Only one project has a positive NPV. d. Since the projects are mutually exclusive, the firm should always select Project B. e. If the crossover rate is 8%, Project A will have the higher NPV.

Mulroney Corp. is considering two mutually exclusive projects. Both require an initial investment of $10,800 at t = 0. Project X has an expected life of 2 years with after-tax cash inflows of $6,600 and $7,400 at the end of Years 1 and 2, respectively. In addition, Project X can be repeated at the end of Year 2 with no changes in its cash flows. Project Y has an expected life of 4 years with after-tax cash inflows of $4,300 at the end of each of the next 4 years. Each project has a WACC of 8%. Using the replacement chain approach, what is the NPV of the most profitable project? Do not round the intermediate calculations and round the final answer to the nearest whole number. a. $3,718 b. $3,339 c. $3,442 d. $2,960 e. $3,408

You are a pension fund manager who has obligations over the years to come of: The applicable rate is: 0.085 What is the duration of this pension obligation? 2.1959 2.2787 2.0302 2.1041 2.3290

2. Alice says that she would buy one banana split a day regardless of the price. If she is telling the truth, A. Alice's demand for banana splits is perfectly inelastic. B. Alice's price elasticity of demand for banana splits is 1. C. Alice's income elasticity of demand for banana splits is negative. D. None of the above answers are correct.

The function D (p) gives the number of items that will be demanded when the price is $10. The production cost C (a) is the cost to produce x items. To determine the cost of production when the price is $10, you would do which of the following? Solve C (D (p)) = 10 for p. Evaluate C (D (10)). Evaluate D (C (10)). Solve D (C(z)) = 10 for z

Jeanine Baker makes floral arrangements. She has 12 different cut flowers and plans to use 7 of them. How many different selections of the 7 flowers are possible? How many ways can the 7 flowers be chosen?

For the statement "All squares are rhumbuses" give the following: If-Then form : Converse : Inverse: Contrapositive: Which of the converse, inverse, or contrapositive must be true?

There are 104 people in a room, half of whom don't speak to the other half. Assume that if they won't speak to each other, they won't shake hands. How many handshakes are there if everyone shakes hands only once (if they shake at all)? There will be______handshakes.

A frog is at the bottom of a 14-foot well. Each day it crawls up 4 feet, but each night it slips back 2 feet. After how many days will the frog reach the top of the well?