December 2017

A product has a current selling price of P325. If its selling price is expected to decline at the rate of 10% per annum because of obsolescence, what will be its selling price four years hence?

Ernie’s average in 6 subjects is 83. If his lowest grade is disregarded, his remaining subject is 84. What is his lowest grade?

What annuity over a 10 year period at 8% interest is equivalent to a present worth of P10,000?

A car that accelerates uniformly passes at point A with a speed of 30 kph. It reaches point B, 21 km from A, after 18 minutes. Find the acceleration of the car.

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 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.

Determine the radius of the circle tangent to the coordinate axes and to another circle with center at (5, 5) and of radius 5.

Find the volume generated by revolving the area on the 1^st and 4^th quadrants by the ellipse y²/9 + x²/4 = 1 about the line x = 3.