Suppose your mother immediately after you were born decided to prepare an educational fund for your llege education. Current time deposit rate on that date was set at 6% per annum and such rate will continue for the next 25 years. She imagined that on your 18th birthday, you will receive your first fund amounting to PhP100,000.00; 120,000.00 on your 19th birthday; 140,000.00 on your 20th birthday; and, 160,000.00 on your 21st birthday. If she will continuously make a deposit until your 14th birthday, how much equal annual amounts shall she deposit?

Air enters a horizontal, constant-diameter heating duct operating at steady state at 290 k, 1 bar, with a volumetric flow rate of 0.25 m°/s, and exits at 325 k, 0.95 bar. the flow area is 0.04 m2. assuming the ideal gas model with k = 1.4 for the air, determine (a) the velocity at the inlet and exit, each in m/s, and (c) the rate of heat transfer, in kw flow rate, in kg/s, (b) the mass kg 0.3

Tom is having a problem with his washing machine. he notices that the machine vibrates violently at a frequency of 1500 rpm due to an unknown rotating unbalance. the machine is mounted on 4 springs each having a stiffness of 10 kn/m. tom wishes to add an undamped vibration absorber attached by a spring under the machine the machine working frequency ranges between 800 rpm to 2000 rpm and its total mass while loaded is assumed to be 80 kg. a) what should be the mass of the absorber added to the machine so that the natural frequency falls outside the working range? b) after a first trial of an absorber using a mass of 35 kg, the amplitude of the oscillation was found to be 10 cm. what is the value of the rotating unbalance? c) using me-3.5 kg.m, find the optimal absorber (by minimizing its mass). what would be the amplitude of the oscillation of the absorber?

Oxygen at 300 kpa and 400 k is in a closed system with an initial volume of 0.1 m3. is now compressed in a polytropic process, with exponent of n 1.2, to a temperature of 500 k. calculate: a) the boundary work done during the compression, in kj b) the heat transfer during the compression, in kj