A tank with capacity of 900 gal of water originally contains 500 gal of water with 100 lb of salt in solution. Water containing 1 lb of salt per gallon is entering at a rate of 3 gal/ min, and the mixture is allowed to flow out of the tank at a rate of 2 gal/ min. Let Q(t) lb. be the amount of salt in the tank, V(t) gal be the volume of water in the tank. Find the amount of salt in the tank at any time prior to the instant when the solution begins to overflow.
A tank originally contains 100 gal of fresh water. Then water containing 1/2 lb of salt per gallon is poured into the tank at a rate of 2 gal/min and the mixture is allowed to leave at the same rate. After 10 min the process is stopped, and fresh water is poured into the tank at a rate of
A 300-gal tank initially contains a solution with 100 lb of a chemical. A mixture containing 2 lb/gal of the chemical enters the tank at 3 gal min, and the well-stirred mixture leaves at the same rate. Find an equation that gives the amount of the chemical in the tank as a function of time. How...
A 1,000-gallon tank contains 200 gal of pure water. A brine solution containing .I lb of salt per gal is flowing into the tank at a rate of 4 gal / sec, and the well-stirred mixture is leaving the tank at the same rate. Let x denote the amount of salt in the tank at time t.(a) Set u p (but d o not...
Determine the required siphon diameter and maximum height of the siphon crest above the entrance given the following design conditions: Q = 5. 16 m3/sec, K (entrance) = 0.25, K (exit) = l.0 K (siphon bend) = 0.7,f = 0.022, siphon length = 36.6 m, length to crest = 7.62 m, upstream pool elevation=...
Zorro Foods have provided following information about its portfolio, where the securities are classified as available for sale. Security Cost(S) Fair Value($) Fair Value($) 31.12.2016 31.12.2017 Apple 33,600 31,000 0.00 (sold) Banana 175,000 174,000 178,000 Crisp 59,400 68,500 69,500 Total 268,000...
1. If you were the CEO of US Airways, what would you do to confront the competition from its low-cost competitors? 2. Can US Airways survive by remaining the same carrier it is today? 3. If you were AirTran, jetBlue or Southwest, how would you continue to take market share away from US Airways? 4....
Mark Anthony, a cloths retailer, wants to buy 100 pieces of stylish pyjamas from Rosalinde Voucher, a wholesaler. She tells him over the phone to hold open an option for 10 days against the payment of USD 25 over a total purchase price of 1,500 USD. Mark agrees to pay the USD 25. On the same day,...
The pitch of the symetric hip roof shown here is 3 to 12. 35 ft 9 in 83 ft 1 in 1. Determine the height of the roof (to 3 sig figs). ?FEET 2. Determine the length of the hip rafters (to 3 sig figs). ?FEET
A ball with mass m kg is thrown upward with initial velocity 12m/sec from the roof of a building 16m high. Find the maximum height above the ground that the ball reaches. Assuming that the ball misses the building on the way down find the time that it hits the ground.
A skydiver weighing 164 lb (including equipment) falls vertically downward from an altitude of 6000 ft and opens the parachute after 19 s of free fall. Assume that the force of air resistance is 0.74 v when the parachute is closed and 10 v when the parachute is open, where the velocity v is...