A rectangular swimming pool is 25 meters long and 10 meters wide. If the pool has an average depth of 2 meters, how many cubic meters of water are needed to fill it?
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Assignment Question 1.8 General finance


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- I drag a stick at 2 m/s through an extremely shallow rectangular box filled with oil, creating a shock wave. I measure the angle made by the wave with the line along which the stick isdragged to be 45°. What is the speed of surface waves in this box?. A beam of white light goes from air into water at an incident angle of 75.0°. At what angles are the red (660 nm) and violet (410 nm) parts of the light refracted? Are the angles going to be different if the light strikes a crown glass slab, instead of water? Explain.The following table gives the monthly inflow and contemplated demand from a proposed reservoir. Estimate the minimum storage that is necessary to meet the demand. If the average reservoir area can be assumed to be 30 km². Assume the runoff coefficient of the area flooded by the reservoir as equal to 0.4 Months Monthly inflow (×10%.m³) Monthly demand (×10%.m³) Rainfall(cm) January 50 50 1 February 40 75 0 March 30 80 0 April 25 85 0 May 20 130 0 June 30 120 19 July 200 25 43 August 225 25 39 September 150 40 22 October 90 45 6 November 70 50 2 December 60 60 1
- The town of Melville needs to obtain an additional supply of water from a nearby river. They have been offered two options: diverting water at a point 8 miles upstream and allowing gravity to move the water to the town (the "gravity" plan), or diverting water at a point much closer to the town and using pumps to move the water to the town (the "pumping" plan). The pumping plan would be built in two stages, with half of its capacity installed initially and the other half installed ten years later. For both options, the town wants to use a 40-year life, 10% interest, and no salvage value. The projected costs are in the table below: Initial Cost Additional investment at the end of the 10th year Annual Operation and Maintenance, excluding Power Annual Power Cost Gravity $2,800,000 None $10,000 $25,000 $75,000 Use an Annual Worth analysis to determine the most economical plan for the town. Pumping None $1,400,000 $200,0003. Reflection and Refraction (25%): A gold coin lies at the bottom of a clear pond under 5.0 m (meters) of water, and 3.5 m (meters), horizontally, from the shore (wall). Assume the pond has vertical sides, or walls. If a light beam is incident on the water surface at the wall, at what angle, 8 (Theta), relative to the wall, must the beam be directed so that it will illuminate the coin? Pond Surface Ө Light Source (Sun) Gold Coin 5 m 3.5 mAnswer the questions correctly. 5.
- The daily water consumption for an Ohio community is normally distributed with a mean consumption of 842,061 gallons and a standard deviation of 87,901 gallons. The community water system will experience a noticeable drop in water pressure when the daily water consumption exceeds 991,628 gallons. What is the probability of experiencing such a drop in water pressure? (Round your answer to 4 decimal places. Round Z-scores to 2 decimal places.)An engineer is considering two different liners for an evaporation pond that will receive salty concentrate from a brackish water desalting plant. A plastic liner will cost $0.90 per square foot and will have to be replaced in 20 years when precipitated solids have to be removed from the pond using heavy equipment. A rubberized elastomeric liner is tougher and, therefore, is expected to last 30 years, but it will cost $2.20 per square foot. The pond covers 110 acres (1 acre = 43,560 square feet). Which liner is more cost effective on the basis of an annual worth analysis at an interest rate of 8% per year? Solve using (a) tabulated factors, and (b) a calculator.A consulting engineer is considering two methods for lining landfill for municipal solid waste management in Bannock County, Idaho. A geosynthetic bentonite clay liner (GCL) will cost $2.0 million to install, and if it is renovated after 4 years at a cost of $400,000, its life can be extended another 2 years. Alternatively, a high-density polyethylene (HDPE) geomembrane can be installed that will have a useful life of 12 years. At an interest rate of 6% per year, how much money can be spent on the HDPE liner for the two methods to break even?
- You have been commissioned to estimate the demand curve for admission to Lake Saint- Michel, a recreational fishing site in France. To do this, you spend a day surveying visitor to the site. You divide the area around the site into 3 zones. You ask each person you interview where they come from. Based on that information, and figures on annual attendance at the park, you are able to calculate the annual number of visitors from each zone. Your data are shown below. For each zone, the total travel cost 1 euro per person for each kilometer traveled to and from the site. One-Way Distance from Park Origin Total Number of Population Users (in kilometer) A 6.25 125,000 18,750 B 12.5 937,500 93,750 18.75 1,250,000 62,500 b. Suppose a fee were charged to enter the site. What is the per capita demand function for each origin? Please express the relationship in an equation. Calculate the number of visitors and consumer surplus if no fee were C. charged to enter the park.You have been commissioned to estimate the demand curve for admission to Lake Saint- Michel, a recreational fishing site in France. To do this, you spend a day surveying visitor to the site. You divide the area around the site into 3 zones. You ask each person you interview where they come from. Based on that information, and figures on annual attendance at the park, you are able to calculate the annual number of visitors from each zone. Your data are shown below. For each zone, the total travel cost 1 euro per person for each kilometer traveled to and from the site. One-Way Distance from Park Origin Total Number of Population Users (in kilometer) A 6.25 125,000 18,750 B 12.5 937,500 93,750 18.75 1,250,000 62,500 а. Express the relationship between per capita visitation rate (R) and travel cost (TC) in an equation. b. Suppose a fee were charged to enter the site. What is the per capita demand function for each origin? Please express the relationship in an equation. Calculate the number…A remotely located air sampling station can be powered by solar cells or by running an above ground electric line to the site and using conventional power. Solar cells will cost RM 15,000 to install and will have a useful life of 5 years with no salvage value. Annual costs for inspection, cleaning, maintenance and part replacement are expected to be RM 4,000. A new power line will cost RM 40,000 to install, with power costs expected to be RM 1,000 per year. Since the air sampling project will end in 10 years,the salvage value of the line is considered to be zero. At an interest rate of 6% per year compounded monthly,(i) Calculate the effective interest rate per year(ii) Determine which alternative should be selected on the basis of an present worth analysis(iii) Determine the initial cost of the above ground line to make the two alternatives equally attractive economically