December 2017

What is the present worth of \$100 annuity starting at the end of the third year and continuing to the end of the fourth year, if the annual interest rate is 8%?

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. At the moment the lift finder’s elevation is 45 degrees, the angle is increasing at the rate of 0.14 rad per minute. How fast is the balloon rising?

You deposit \$1,000 into a 9% account today. At the end of two years, you will deposit another \$3,000. In five years, you plan a \$4,000 purchase. How much is left in the account one year after the purchase?

If two points in the number line have coordinates 1 and 7, find the coordinate of a point on the line which is twice as far from 1 as from 7.

A pump discharges 50 ton of water per hour at the height of 8 m. The overall efficiency of the pumping system being 69%. Calculate the energy consumed by the pump in 2 hours, expressed in MJ.

The inner surface area in sq. m. of an open (both ends) cylinder 2 m in height and 3 m in diameter is:

How long will each side of the hexagon with perimeter 108 in.?

CPM factory employs 60 workers. If 4 out of every 5 workers are married, how many married workers are employed by the factory?

A rectangle with sides parallel to the axes has vertices at (-3, 2), (2, 5), and (-3, 5). Find the coordinate of the fourth vertex.

A businessman wishes to earn 7% on his capital after payment of taxes. If the income from an available investment will be taxed at an average rate of 42%, what minimum rate of return, before payment of taxes, must the investment offer to be justified?