Problem
\$180,000 was spent on the project that yields annual benefit of \$60,000 for a period of 8 years without any salvage value. Determine the benefit-to-cost ratio considering the cost of money to be 7%.
| A. 1.99 | C. 1.57 |
| B. 2.21 | D. 2.63 |
Mathematics, Surveying and Transportation Engineering
Old name: MSTE - Mathematics, Surveying, and Transportation Engineering
Official name: Applied Mathematics, Surveying, Principles of Transportation and Highway Engineering, Construction Management and Methods
Common name: Math
Calculus; Differential Equations; Engineering Data Analysis; Numerical Methods; Physics for Engineers; Economics; Construction Surveying and Layout; Materials for Construction; Highway Engineering; Construction Occupational Safety and Health; Transportation Engineering; Quantity Surveying; Construction Management Principles and Methods
Problem
Which of the following pizzas is a better buy: a large pizza with 16-inch diameter for \$15 or a medium pizza with an 8-inch diameter for \$7.50? What is the cost per square inch of the better pizza?
| A. medium pizza: \$0.07/in.2 | C. medium pizza: \$0.15/in.2 |
| B. large pizza: \$0.07/in.2 | D. large pizza: \$0.15/in.2 |
Problem
Given the following equations:
$$ab = 1/8 \qquad ac = 3 \qquad bc = 6$$
Find the value of $a + b + c$.
| A. $12$ | C. $\dfrac{4}{51}$ |
| B. $\dfrac{7}{16}$ | D. $12.75$ |
Problem
Which of the following is the derivative with respect to x of $(x + 1)^3 - x^3$?
| A. 6x + 3 | C. 1 + 2x - 3x2 |
| B. 3x2 + 2x + 1 | D. 6x - 3 |
Problem
In a fund raising show, a group of philanthropists agreed that the first one to arrive would pay 25¢ to enter, and each later would pay twice as much as the preceding person. The total amount collected from all of them was \$262,143.75. How many of them paid?
Problem
How many terms from the progression 3, 5, 7, 9, ... must be taken in order that their sum will be 2600?
| A. 80 | C. 50 |
| B. 60 | D. 70 |
Problem
Find the equation of the curve passing through the point (3, 2) and having s slope 5x2 - x + 1 at every point (x, y).
| A. $y = \frac{5}{3}x^3 - \frac{1}{2}x^2 + x - \frac{31}{3}$ | C. $y = 5x^3 - 2x^2 + x - 118$ |
| B. $y = 5x^3 - 2x^2 + x - 31$ | D. $y = \frac{5}{3}x^3 - \frac{1}{2}x^2 + x - \frac{83}{2}$ |
Problem
A coin is so unbalanced that you are likely to get two heads in two successive throws as you are to get tails in one. What is the probability of getting heads in a single throw?
| A. 0.168 | C. 0.681 |
| B. 0.618 | D. 0.816 |
Problem
In the expansion of (2x - 1/x)10, find the coefficient of the 8th term.
| A. 980 | C. 960 |
| B. 970 | D. 990 |
Problem
The formula $v = \sqrt{2gh}$ give the velocity, in feet per second, of an object when it falls h feet accelerated by gravity g, in feet per second squared. If g is approximately 32 feet per second squared, find how far an object has fallen if its velocity is 80 feet per second.
| A. 80 feet | C. 70 feet |
| B. 100 feet | D. 90 feet |