A tank contains 50 gallons of a solution composed of 85% water and 15% alcohol. A second solution containing half water and half alcohol is added to the tank at the rate of 4 gallons per minutes. At the same time, the tank is being drained at the same rate. Assuming that the solution is stirred constantly, how much alcohol will be in tank after 10minutes?

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A: SOLUTION-

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A: (1)  Given that, an apple farm yields an average of 39 bushels of apples per tree when 21 trees are…

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A: This question is related to differetial equations, we will solve it using given information.

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A:

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A: Given that , Light bulbs burn out every month = 13% Outside store lights = 1 million = 1000000

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Q: A 1,000-liter tank initially contains 200 liters of brine containing 100 kg of salt. Brine…

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Q: The half-life of polonium is 139 days, but your sample will not be useful to you after 95% of the…

A: It is given days half-life of polonium is 139 days. By the definition of half life, A139=12A0

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Q: A mixture containing 6% boric acid is to be mixed with 2 quarts of a mixture which is 15% acid in…

A: It is given that mixture containing 6% boric acid is to be mixed with 2 quarts of a mixture which is…

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Q: Two tanks, A and B, each contain 10 L of salt water. Initially, 31 g of salt are found in A, and 27…

A: Given: To explain the given statement as follows, V = 10L, u(0) = 31, v(0) = 27

Q: Suppose chad has $5000 to invest. If he invest $3000 at 5% interest, at what rate must he invest the…

A: solution of the given problem is below...

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Q: A scuba tank holds 2.6 ㎥ of compressed air. A diver at a shallow depth uses about 0.002 ㎥ per breath…

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Q: The​ half-life of polonium is 139​ days, but your sample will not be useful to you after 91​%of the…

A:

Q: A 6-quart cooling system is checked and found to be filled with a solution that is 40% antifreeze.…

A: Given that      A 6-quart cooling system is checked and found to be filled with a solution that is…

Q: A 21-quart cooling system is checked and found to be filled with a solution that is 40% antifreeze.…

A: Given: A 21-quart cooling system is checked and found to be filled with a solution that is 40%…

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A:

Q: Consider a reservoir with a volume of 8 billion cubic feet (ft³) and an initial pollutant…

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Q: A 80 foot ladder leaning against a wall is being pushed so that the bottom of the ladder is sliding…

A: Here dydt=6feet/secondx=48 feety=64feet

Q: A solution with 35% ammonia is added at a rate of 5 liters per minute to a vat that initially…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.