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Tshepo wants to buy a big screen tv. She has five interest rates to choose from if she borrows money from the bank. The cheapest option for her is
1) 29% per year, compounded daily
2) 30% per year, compounded semi-annually
3) 28.5% per year, compounded weekly or
4) 29.5% per year, compounded every two months
Given the data: 123, 126, 129, 132, and (a) construct a sampling of
the mean (b) draw a histgyfor the sample means
A discriminatory farmer monopolist sells the product to college students and lecturers.
The demand function for students is Qsd=200-25p and the demand function for
lecturers is Qld=400-25p.Marginal cost is $1 per product. Calculate the amount of
product the monopolist sells for students and Lecturers. At what price level? [5
marks]
b. Suppose a firm is operating in a monopolistically competitive market structure.
i.Mention at least three characteristics of this market structure. [3 marks]
ii.What type of demand curve would the firm experience? Why? [2 marks]
iii.Draw the cost and revenue curves for a typical monopolistically competitive firm
in the short run for a given price level and explain how the firm chooses the level of
output that maximizes profit. [5 marks]
In crank and slotted lever quick return mechanism, the crank length is (100 +X )mm and the distance between the fixed center is (225+X)mm. The length of the slotted lever is (525+X)mm. Determine the ration of time of cutting stroke to time of return stroke. Also calculate the length of the stroke .
1. Logs are stacked in a pile with 24 logs on the bottom row and 10 on the top row. There are 15 rows in all with each row having one more log than the one above it. (Use Sn=n/2[2a+(n-1) d])
a) How many logs are in the stack?
A firm is described as combining managerial coordination with market exchange in order to produce its good or service. Does similar behavior occur in government bureaus? Explain.
The most common isotope of hydrogen contains a proton and an electron separated by about 5.0 x 10-11 m. The mass of a proton is approximately 1.7 x 10-27 kg. The mass of the electron is approximately 9.0 x 10-31 kg.
Calculate the mass of carbon in 10.00 g of glucose (C6H1206). Show the step by step process.
b. Show on the real line and indicate in symbols each of the following:
S₁= {x: -7 < x < ∞ } ∩ {x: -∞ < x < 3}
S₂= (x:x ≥ ∞ } ∩ (x: x+ 3 < 6}
S3 = y: y²-2 y-3 < 0} U {y: -2 ≤ y ≤ 1}
A person puts a few apples into the freezer at -12°C to cool them quickly for guests who are
about to arrive. Initially, the apples are at a uniform temperature of 30°C, and the heat transfer
coefficient on the surfaces is 21 W/m2·°C. Treating the apples as 9-cm-diameter spheres and
taking their properties to be ρ = 900 kg/m3, Cp = 3.81 kJ/kg·°C, k = 0.615 W/m·°C, and α = 1.4×10-7 m2/s, determine the center and surface temperatures of the apples in 1.5 h. Also, determine the amount of heat transfer from each apple. Use Heisler chart to solve the problem.
