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A company purchased an equipment for a total of P960M including its freight and installation charges. What is its annual depreciation charge if salvage value is zero and the sinking fund deposit factor is 0.0430?
A company’s daily profit P in pesos, is given by the equation P = -2x^2 + 120x - 800
A cone was formed by rolling a thin sheet of metal in a form of a sector of a circle 72 cm in diameter with a central angle of 150°. Find the volume of the cone.
A construction company wants to number new houses using digit plates only. If the company puts an order for 1212 plates how many houses are to be given numbers? (The numbers of houses are consecutive and the number of the first house is 1).
A contractor bought a concrete mixer at P120,000.00 if paid in cash.
A contractor has 50 men of the same capacity at work on a job. They can complete the job in 30 days, but the contract expired in 20 days.
A corner lot, triangular in shape, has perpendicular sides measuring 90 m and 120 m, respectively.
A couple decides to entertain 24 friends by giving 4 dinners with 6 guests each. In how many ways can the 1st group be chosen?
A cube is 6 inches in edge. A cutting plane is passed through the midpoint of three adjacent edges. Find the volume of the smaller solid.
A cylindrical can is to be made to hold 1 liter of oil. Find the radius that will minimize the cost of the metal to manufacture the can.
A decagon has how many diagonals?
A definite integral has an integrand which is a fraction with denominator $\sqrt{4x^2 + 1}$. It is to be solved by trigonometric substitution. Which of the following is the appropriate substitution to use?
A die is thrown randomly four hundred fifty times. The frequencies of outcomes 1, 2, 3, 4, 5 and 6 were noted as given in the following table:
A dimensionless number or parameter in dynamic similarity expressed as the ratio of the inertia force to pressure forces is known as:
A disease is known to affect 1 in 10,000 people. It can be fatal, but it is treatable if it is detected early.
A disease is known to affect 1 in 10,000 people. It can be fatal, but it is treatable if it is detected early. A screening test for the disease shows a positive result for 99% of people with the disease. The test shows positive for 2% of people who do
A dog is tied with a chord 3 m long to the edge of a circular tank 8 m in diameter. The point where the cord is attached to the tank is at the same elevation as the dog’s collar. Determine the total area about which the dog can move, in square meter...
A drawer contains red socks and black socks. When two socks are drawn at random, the probability that both are red is 1/2. How small can the number of socks in the drawer be?
A factory is running at 80% efficiency with a fixed cost of P78,000.00, variable cost per unit of P130.00, selling price per unit of P416.00, and production capacity of 5000 units.
A farmer has 2400 ft of fencing and wants to fence off a rectangular field that borders a straight river.
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 Ferris wheel, 9 m in radius, is rotating such that the riders will experience zero gravity at the topmost part of the wheel. How many revolutions it made in every minute?
A flywheel is brought from rest up to a speed of 1500 rpm in 1 minute. What is the average angular acceleration, α?
A furniture manufacturer has two machines, but only one can be used at a time.
A group of dancers consists of x boys and x girls. If two of the boys are replaced by two girls, then 48% of the group members will be boys. Find the original value of the boys.
A group of musicians is composed of three drummers, four pianists, and seven guitarists. How many ways can a trio are formed with 1 pianist, 1 drummer, and 1 guitarist?
A hemispherical dome is 16 meters in diameter. If the bottom 1-meter strip of the dome’s surface painted, what is the total painted area?
A highway has a gradient of 0.087. How many meters would an automobile rise vertically if it traveled 2 miles along the way?
A hole 10 inches in diameter is to be punched out from a sphere having a diameter of 16 inches. Determine the volume punched out if the center of the hole is along the diameter of the sphere.
A hollow glass bowl in the shape of a sphere of radius 4” is filled with water to a depth of 3”. If the water flows out through a small hole in the bottom so that the level drops 2”, how much water has escaped in in3?
A hot air balloon rising straight up from a level field is track by a range finder 500 ft from the point of lift off.
A jogger starts a course at a steady rate of 8 kph. Five minutes later, a second jogger took the same course at 10 kph. How long will it take for the second jogger to catch the first?
A large chain retailer purchases a certain kind of electronic device from a manufacturer. The manufacturer indicates that the defective rate of the device is 3%.
A large sewer system will cost P8,750,000 annually. There will be favorable consequences to the general public of P25,000,000 annually and adverse consequences to a small segment of the public of P2,500,000 annually. What is the benefit to cost ratio?
A lead pencil whose ends are regular hexagons was cut from a cylindrical piece of wood with the least waste.
A line is divided into 12 equal parts. If the measure of each part is a prime integer, what is the possible length of the line?