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A: Given Water flows from the bottom of a storage tank at a rate of r(t) = 400 − 8t liters per minute,…
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A: Let y(t) = the amount of salt in the tank in kg. So the concentration at time t minute is then…
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A: Given: Rate of flow of chemical in tank in liters per min: dVdt=180+3t 0≤t≤60
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A: Let x represents the amount of salt after t minutes. Given that, the initial amount of salt is 15…
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Q: Water flows from the bottom of a storage tank at a rate of r(t) = 300 - 6t liters per minute, where…
A: Water flows from the bottom of a storage tank at a rate of r(t)=300-6t liters per minute, where…
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Q: Water flows into an empty reservoir at a rate of 1000 + 560t liters per hour (t in hours). What is…
A: We use the formula ,the quantity is given by the integral =integration of (1000+560t)dt from 0 to 4.
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A: let force is F apply newtons low force = mass * acceleration detailed solution is given below
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Q: Water is leaking from a 2 foot tall rectangular tank at 0.1 cubic foot per hour. Suppose that the…
A: let the height of tank be "h"Volume is given by VdVdt=0.1 cu. ft/hrh=2 ftV= 10 cu. ftdhdt=?
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Q: (b) A tank contains 50 gal of water in which initially 6 kg of salt are dissolved. Water containing…
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Q: Water flows into an empty reservoir at a rate of 3000 + 210t liters per hour (t in hours). What is…
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A: Given Future Value = $9000time = 6 months or (6/12) yearrate of interest = 6%Present Value = ?
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A: Solution
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Q: 8. The mass of a substance varies directly with the volume of the substance. Sixty liters of the…
A: By making equation between mass and volume
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Q: A tank contains 150 L of pure water. Brine that contains 0.2 kg of salt per liter enters the tank at…
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Q: After five days, a 5-gram sample of a radioactive substance decreases to 3.242 grams. The amount…
A: Please see the below picture for detailed solution.
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Q: Water flows from a storage tank at a rate of 300 – 7t liters per minute. Find the amount of water…
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Q: Pure water is poured at a rate of 3 m³/min into a tank containing 300 kg of salt dissolved in 100 m³…
A: Initially 300 kg of salt dissolved in 100 m3 of water,Rate of pouring in pure water = 3m3min,Rate of…
Q: 3. Water flows from a storage tank at a rate of (500 – 5t) liters per minute. Find the amount of…
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Q: Water flows from the bottom of a storage tank at a rate of r(t) = 300 – 6t liters per minute, where…
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Q: 2 Average time to clean 1 gram of fossil is 3,000 seconds. Calculate the time to clean all the…
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Q: A tank contains 350 liters of fluid in which 20 grams of salt is dissolved. Pure water is then…
A: It is given that a tank contains 350 liters of fluid which contains 20 grams of dissolved salt. Then…
Q: Water flows from the bottom of a storage tank at a rate of r(t) = 300 - 6t liters per minute, where…
A: Given rate : r(t) = 300 - 6t. where 0 ≤ t ≤ 50. We have to find the amount of water that…
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Q: Find the present value PV of the given investment (in dollars). (Round your answer to the nearest…
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Q: ladder 10 meters long is leaning against a wall. If the bottom of the ladder is being pushed…
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Q: A tank contains 40 L of a chemical solution prepared by dissolving 80 g of a soluble substance in…
A: A tank contains 40 L of a chemical solution prepared by dissolving 80 g of a soluble substance in…
Q: 3. A student was asked to find the value of a $2500 item after 4 years. The item was depreciating at…
A: Explained below
Q: Water flows from the bottom of a storage tank at a rate of r(t) = 300 – 6t liters per minute, where…
A:
Q: Find the present value PV of the given investment (in dollars). (Round your answer to the nearest…
A: Solved below
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- The average depreciation in value of a new car is 20%at the end of the first year. The depreciation rate then drops to 10% yearly for the next four years. Suppose that after one year, a car that was purchased new is worth $27,560 after the initial depreciation. What is the value of the car four years later?An engine has initially 24000 ml oil. The amount of oil has to be increased at the rate of 5% every six month. Find the time-period at the end of which the amount of oil becomes 27783ml.The altitude of a triangle is increasing at a rate of 2.62.6 centimeters/minute while the area of the triangle is increasing at a rate of 55 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 1010 centimeters and the area is 8484 square centimeters?Enter your answer as an approximate value, accurate up to three decimal places. cm/min
- An initial investment of 5742 earns interest of 6% compounded yearly. 1. What formula gives a value V, in dollars, of the investment after t years? 2. What is the balance of this investment after 9 years? Round your answer to 2 decimal places and include include appropriate label. 3. How long will it take for the value of the investment to reach 7096? Round your answer to 2 decimal places and include the appropriate label. A tank has a total capacity of 100 L, but initially it contains 15 L of pure water. Water flows into the tank 8 L per minute and contains 2 kg of salt. The solution in the tank is being mixed well. If the well-mixed solution in the tank exits 7 L per minute, determine the amount of salt (kilograms) in the solution just before the tank overflows. (Answer in 4 decimal places)A fine antique has been appreciating in value since its purchase. Its value has been increasing at the rate of 6% per year. After 9 years of increase, the antique's current value is $66,410. What was the initial value of the antique?
- The number N Iinsects in culture grew at a rate proportional to N.The value of N was initially 100 and increased to 332 in one hour .What was the value of N after 90 mnts.Karpov Dealers bought tires from a wholesaler at $ 75 dollars each and sold them at a mark-up of 25 % of cost. a)Calculate the selling price of one tire. Approximate to the nearest 100th. b)Calculate the rate (in %) of markup based on the selling price for one tire. Approximate to the nearest 100th.Lsg
- A tank contains 2220 L of pure water. Solution that contains 0.04 kg of sugar per liter enters the tank at the rate 6 L/min, and is thoroughly mixed into it. The new solution drains out of the tank at the same rate. Find the amount of sugar after t minutes. y(t)=If human toenail grows at an average rate of about 0.13 inch a month. 1 year has 12 months. 1 inch is equal to 2.54 cm. Calculate the toenail growth rate in cm/year#2 a drug is produced on 03/01/2023 after 10518 hours the drug degrades by 10%. what is its shelf life