MSTE Flashcards
set 1, 2
MoreTech Drilling may buy a patent with 14 years of life left. If MoreTech spends $1.5M to implement the technology, it expects net revenues of $650,000 per year for the patent’s life. If MoreTech’s discount rate for money’s time value is 10%, what isthe maximum price that MoreTech can pay for the patent?
3,300,000 or 3.3 M
A 15-year municipal bond was issued 5 years ago. It pays 8% interest semiannually on its face value of $15,000. At the end of 15 years, the face value ispaid. If your time value of money, or i, is 12.36%, what price should you offer for the bond?
11,559
Creekside Engineering wants to establish an engineering scholarship in honor of its founder, Jane Freeborn. The endowment will be placed in a savings account by the university, and the interest income will be available for the scholarship. The account’s interest rate is 6%, and the scholarship amount is $3000 per year. What is the required endowment?
50,000
A farmer owned a square field measuring exactly 2261 yards on each side. 1898 yards from one corner and 1009 yards from an adjacent corner stood a beech tree. A neighbor offered to purchased a triangular portion of the field, stipulating that a fence should be erected in a straight line from one side of the field to an adjacent side so that the beech tree was part of the fence. The farmer accepted the offer but made sure that the triangular portion was a minimum area. How long was the fence?
2018 yards
The number of hours daylight D(t) at a particular time of the year can be approximated by — for t days and t = O corresponding to January 1. The constant k determines the total variation in day length and depends on the latitude of the locale. When is the day length the shortest? Assume k=6.
not leap year:
* the day length the shortest = December 20
* the day length the longest = June20
leap year:
* the day length the shortest = December 19
* the day length the longest = June 19
A mountain peak A is 1040 m above sea level. From mountain peak A, the angle of elevation of mountain peak B was 10°. The pilot of Air Asia upon flying directly over peak A, took the angle of depression of peak B equal to 46°12’; and read his altimeter to be 2820 m above the sea level. Determine the elevation of mountain peak B.
1297.45 m
Morning peak traffic upstream of a tollbooth is given below. The toll plaza consists of three booths, each of which can handle an average of one vehicle every 6 sec. Determinethe total delay in vehicle per min.
8000 vehicle/min
The local weather forecaster says “no rain” and his record is 2/3 accuracy of prediction. But the Federal Meteorological Service predicts rain and their record is 3/4 with no other data available, what is the chance of rain?
Prain = 3/5
A new kind of atom smasher is to be composed of two tangents and a circular arc which is concave toward the point of intersection of the two tangents. Each tangent and the arc of the circle is 1 mile long, what is the radius of the circle? Use 1 mile = 5280 ft.
1437.50 ft
Near the town of Lunch, Nebraska there is a large triangular plot of land bounded by three straight roads which are 855, 870, and 975 yards longs respectively. The owner of the land, a friend of mine, told me that he had decided to sell half the plot to a neighbor, but the buyer had stipulated that the seller of the land should erect the fence which was to be a straight one. The cost of fences being high, my friend naturally wanted the fence to be as short as possible. What is the minimum length (in yards) the fence can be?
600 yards
There are four towns at the corners of a square. Four motorists set out, each driving to the next (clockwise) town, and each man but the fourth going 8 mi./hr. faster than the car ahead - thus the first car travels 24 mi./hr. faster than the fourth. At the end of one hour the first and third cars are 204, and the second and fourth 212 (beeline) miles apart. How fast is the first car traveling and how far apart are the towns?
50 mi./hr.
180 miles
Calculate the benefit cost ratio for a highway project with the following benefits and costs. The project life is 40 years, the interest rate is 10%, and the project’sright of way is worth $5M in 40 years.
Construction Cost (includes acquiring right of way) = $20M
Annual Maintenance = $350k
Repavingevery 8 years = $3M
Annual Value of lives saved = $1M
Time savingsfor commercial traffic = $1.25M
Time savingsfor commuter and recreational traffic = $1M
1.23
Find the expected production in loose cubic meters (LCM) per hour of a small hydraulic excavator. Heaped bucket capacity is 0.57 m3. The material is sand and gravel with a bucket fill factor of 0.95. Job efficiency is 50 min/h. Average depth of cut is 4.3 m. Maximum depth of cut is 6.1 m and average swing is 90. Hint: Production (LCM/h)=CxSxV xBx E
113 LCM/h
A crawler tractor weighing 36 tons is towing a rubber tired scraper weighing 455 t up a grade of 4%. What is the total resistance of the combination if the rolling resistance factor is 50 kg/t?
5535 kg
A power shift crawler tractor has a rated blade capacity of 7.65 LCM. The dozer is excavating loose common earth and pushing its distance of 61 m. Maximum reverse speed in third range is 8 km/h. Estimate the production of the dozer if the job efficiency is 50 min/h.
Hint:
Fixed Time = 0.05 mi
Dozing Speed = 4 km/h
Production = Volume per Cycle x Cycle per hour x Job Efficiency
271 LCM/hr
A chain was used to check the distance between two control points on a large building project. The distance was measured and recorded as 600.172 m. After the work was finished, it was decided to check that chain at the location baseline. Upon checking, the chain was actually 29.992 m rather than 30 m. What is the actual length between two control points?
600.012 m
A construction surveyor measured the length between two control monuments with 50-meter chain. One point was at the bottom of a hill and the other was on the side of the hill. A slope measurement was made by holding the zero end of the chain at the center of the instrument and reading 45290 meters at the point. A zenith angle of 75° was made to the point. Find the horizontal distance.
43.75 m
Vehicles arrive at stop signs at an average rate of 300 per hour. Average waiting time at the stop sign is 10 sec. per vehicle. If both arrivals and departures are exponentially distributed, what are the average queue lengths and average delay per vehicle?
0.83 min/veh
The intensity of light (in foot-candles) varies inversely as the square of x, the distance in feet from the light source. The intensity of light 2 feet from the source is 80-foot candles. How far away is the source if the intensity of light is 5 foot-candles?
A. 7 feet
B. 5 feet
C. 6 feet
D. 8 feet
D. 8 feet
A spider eats three flies a day. Until he fills his quota, he has an even chance of catching any fly that attempts to pass. A fly is about to make the attempt. What are the chances of survival, given that five flies have already made the attempt today?
A. 1/2
B. 1/4
C. 3/4
D. 2/3
C. 3/4
The amount of annual rainfall in a certain region is known from past experiences to be normally distributed random variable with a mean of 50 inches and a standard deviation of 4 inches Find the probability, that in a randomly picked year, the rainfall exceeds 57 inches.
A. 0.0104
B. 0.0401
C. 0.4010
D. 0.1040
B. 0.0401
The time taken by a toll taker to collect the toll from the vehicles crossing a bridge is an exponential distribution with a mean of 23 seconds. The probability that a random vehicle will be processed in 25 seconds or more (i.e. will take longer than 25 seconds) is most nearly:
A. 0.225
B. 0.552
C. 0.337
D. 0.773
C. 0.337
A rectangular field bounded on one side by a building is to be fenced on the other 3 sides. If 3000 ft of fence is to be used, find the dimensions (in feet) of the largest field that can be fenced in.
A. (800, 1600)
B. (650, 1300)
C. (550, 1150)
D. (750, 1500)
D. (750, 1500)
A ladder 10 ft. long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 1 ft/s, how fast is the top of the ladder sliding down the wall when the bottom of the ladder is 6 ft. from the wall?
A. 0.25 ft/s
B. 0.50 ft/s
C. 0.75 ft/s
D. 0.35 ft/s
C. 0.75 ft/s
The probability that both stages of a two-stage missile will function correctly is 0.95. The probability that the first stage will function correctly is 0.98. What is the probability that the second stage will function correctly given that the first one does?
A. 0.931
B. 0.965
C. 0.969
D. 0.667
C. 0.969
If a pair of dice is tossed 6 times, what is the probability of obtaining a total of 7 or 11 twice, a matching pair once, and any other combination 3 times?
A. 0.0019
B. 0.0129
C. 0.1127
D. 0.2156
C. 0.1127
An army of troops is marching along a road at 5 kph. A messenger on horseback was sent from the front to the rear of the column and returns immediately back. The total time taken being 10 minutes. Assuming the messenger rides at the rate of 10 kph, determine the length of the column.
A. 526 m
B. 1 km
C. 854 m
D. 625 m
D. 625 m
A rectangular waterfront lot has a perimeter of 1000 feet. To create a sense of privacy, the lot’s owner decides to fence along three sides, excluding the side that fronts the water. An expensive fencing along the lot’s front length costs Php 25 per foot, and an inexpensive fencing along two side widths costs only Php 5 per foot. The total cost of the fencing along all three sides comes to Php9500. What is the lot’s dimensions?
A. 300 ft x 100 ft
B. 400 ft x 100 ft
C. 400 ft x 200 ft
D. 300 ft x 200 ft
D. 300 ft x 200 ft
A rotating vessel coming to rest makes 30 revolutions in the first minutes and in each minute thereafter makes 2/5 as many revolutions as the preceding minutes. Find how many revolutions the wheel makes before it comes to rest.
A. 40
B. 30
C. 50
D. 75
C. 50
In a certain town there are 1000 married couples. Two-thirds of the husbands who are taller than their wives are also heavier and three-quarters of the husbands who are heavier than their wives are also taller. If there are 120 wives who are taller and heavier than their husbands, how many husbands are taller and heavier than their wives?
A. 880
B. 320
C. 380
D. 480
D. 480
The formula log (1– k) = –0.3/H models the relationship between the half-life H of a radioactive material and its rate of decay k. Find the rate of the decay of the iodine isotope l-13l if its half-life is 8 days. Round to four decimal places.
A. 0.1827
B. 0.3827
C. 0.0627
D. 0.0827
D. 0.0827
A coin is so unbalanced that it may come both heads in 2 tosses as it may come tails in a single toss. What is the probability of getting a head in a single toss?
A. 0.5
B. 0.6
C. 0.618
D. 0.518
C. 0.618
An industrial engineer has found that when she takes a sample of size 5 of a product, 90% of the time there are no defectives in the sample, 3% of the time there is 1 defective, 2% of the time there are 2 defectives, 2% of the time there are 3 defectives, 2% of the time there are 4 defectives, and 1% of the time there 5 defectives. What is the probability of taking a sample that has at least 3 defectives in the 5?
A. 7%
B. 5%
C. 9%
D. 15%
B. 5%
If 2 marbles are removed at random from a bag containing black and white marbles, the chance that they are both white is 1/3. If 3 are removed at random, the chance that they all are white is 1/6. How many black balls are there?
A. 6
B. 7
C. 5
D. 4
D. 4
