A tank with capacity of 700 gal of water originally contains 300 gal f 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 s allowed to flow out the tank. 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
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A certain project has an initial cost of rs. 20 million & an annual maintenance cost of rs. 500000 over a 50 years life. The discount rate is 6%. The annual benefits received from the project increase linearly from rs.400000 for the 1 st year to rs. 2 million at the end of 20 years and remains constant thereafter till 50 years. The total benefits obtained for the period of 20 years starting from the 11-th year to the 30-th year are directly utilized in repaying the loan taken (which is equal to the initial cost of the project)
75 years nd 67 days