A tank is filled with 1000 liters of pure water. Brine containing 0.06 kg of salt per liter enters the tank at 10 liters per minute. Another brine solution containing 0.09 kg of salt per liter enters the tank at 7 liters per minute. The contents of the tank are kept thoroughly mixed and the drains from the tank at 17 liters per minute. A. Determine the differential equation which describes this system. Let S(t) denote the number of kg of salt in the tank after t minutes. Then dSdt= B. Solve the differential equation for S(t). S(t)=

should have been evaluated with one odd value and one even value. the expressions have equivalent values when . when , the first expression has a value of 3 and the second

step-by-step explanation:

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.

beth buys 10 x shirts and still has more than 100 in her account