83. Analyzing Debt A 1-inch-high stack of $100 bills contains about 250 bills. In 2010 the gross federal debt was approximately 13.5 trillion dollars. (a) If the entire federal debt were converted into a stack of $100 bills, how many feet high would it be? (b) The distance between Los Angeles and New York is approximately 2500 miles. Could this stack of $100 bills reach between these two cities?
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- A dirty lake was contaminated by a toxic substance. The lake has a volume of 1.2M liters of water with 9k kgs of the toxic substance. To solve this problem, they intentionally pour 1k liters of pure clean water per hour and releases the toxic water with the same rate. Assume that the lake can be safe to drink if 95% of the toxin is removed. Will the lake be safe to drink after a week? Why? Amount of toxic waste left after a month? How long before the lake only contains 45% of toxic waste?Charles and his younger brother, Edward, purchased Carpita Bottling Company from their father in 1983. The company bottles and distributes soda and beer in Nakuru. Since purchasing the company, Charles has been instrumental in modernizing operations. One of the latest acquisitions is a filling machine that can be adjusted to fill at any average level desired. Because the bottles and cans filled by the company are exclusively the 12-grams size, when they received the machine, Charles set the fill level to 12 grams and left it that way. According to the manufacturer’s specifications, the machine will fill bottles or cans around the average, with a standard deviation of 0.15 grams. Charles just returned from a convention at which he attended a panel discussion related to problems with filling machines. One bottling company representative discussed a problem her company had. It failed to learn that its machine’s average fill went out of adjustment until several months later, when its cost…State which tank is losing water at the greatest rate. Justify your answer mathematically.
- The federal tax code allows some items used for business purposes to be depreciated. That is, their taxable value decreases over time. A new van used in your delivery business has a taxable of The tax code allows you to depreciate this van by $2100 per yearFind a formula that gives the taxable value , in dollars, of the van after n years of depreciationOrder: NS 1,000mL IV infuse in 12hours. The drop factor is 20 gtt/mL. Calculate the initial drip rate in gtt/min. When the nurse checks this infusion 7 hours later, 500 mL are LIB. Recalculate the drip rate for the remaining 500mL. If the facility protocols indicate that flow rate adjustments must not exceed 20% of the original rate, may the adjustment be made?A prankster puts 4 lb of soap in a fountain that contains 200 gal of water. To clean up the mess a city crew runs clear water into the fountain at the rate of 8 gal perminute, allowing the excess solution to drain off at the same rate. How long will it be before the amount of soap in the mix-ture is reduced to 1 lb?
- Air containing carbon dioxide at a concentration of 0.05% is pumped into a room with a volume of 90000 m3 at a rate of 9000 m3 per minute. After the said air mixes homogeneously with the air in the room, it is pumped out of the room at the rate of 9000 m3 per minute. The initial air in the room contains carbon dioxide in a concentration of 0.2%. What is the % carbon dioxide concentration in the room after 20 minutes? Please choose one: a. 0.050% b. 0.057% c. 0.053% D. 0.070% to. 0.060%A tank contains 20 kg of salt dissolved in 5000 L of water. Brine thatcontains 0.03 kg of salt per liter of water enters the tank at a rate of 25 Lmin. Thesolution is kept thoroughly mixed and drains from the tank at the same rate. Howmuch salt remains in the tank after half an hour?Imagine you're playing a board game that involves an hourglass filled with sand. Once all of the sand falls to the bottom, your turn is up and it's the next player's turn. If the sand falls at a rate of 16 cubic millimeters per second, how much time do you have for your turn? It may be helpful to first calculate the volume of the sand and then calculate the time.
- A solution consisting of 300 mg of dopamine in 200 mL of solution is administered at a rate of 10 mL/hr. a. What is the flow rate in units of mg of dopamine per hour? b. If a patient is prescribed to receive 60 mg of dopamine, how long should the infusion last?Please help me with this problem. As a result of heavy rain, the volume of water in a reservoir increased by1400 acre-ft in 24 hours. Show that at some instant during that period thereservoir’s volume was increasing at a rate more than 225,000 gal/min. (An acre-foot is 43,560 ft3, the volume that would cover 1 acre to the depth of 1 ft. A cubic footholds 7.48 gal.)As production level increases, the average cost for a company to produce each unit of its product also increases , Determine whether the statement makes sense or does not make sense, and explain your reasoning.