Applied Mathematics 1 Trigonometric Ratios with solutions O A O cos θ = tan θ = H H A where O = opposite‚ A = adjacent and H = hypotenuse. sin θ = 1. The angle of elevation of the top of a tree from a point on the ground 10m from the base of the tree is 28◦ . What is the height of the tree? Solution We need to find the height of tree which is opposite an angle of 28◦ .Thus O tan θ = A O = A tan θ height of tree = 10 × tan 28◦ =⇒ height of tree = 5.3m 1d.p. 2. Using a surveying
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Trident University Alexander M Wayt Demand: Utility and marginality ECO201 - Microeconomics Dr. Radu Munteanu 15 June 13 Introduction When running a business‚ calculating margins is an essential component. Margins not only can help us figure out what our total revenue will be‚ they also help us decide if we need to expand as a business‚ stay where we are‚ or try to downsize. Of course other factors can be put into this as well; did prices of the goods and services we provide go
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Investment Decisions Under Uncertainty 7.1 Investor preferences and expected utility -If there is no uncertainty then we just need to determine how much we want to consume now and how much later i.e. assets are risk free with return certain across all states of the world -A risky asset is one whose cash flows are not certain across all possible states of the world. In finance it is commonly assumed that investors are risk averse‚ rational and have unlimited demand for wealth (nonsatiated) -This
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which rate is total utility increasing: a constant rate‚ a decreasing rate‚ or an increasing rate? How do you know? b. “A rational consumer will purchase only 1 unit of the product represented by these data since that amount maximizes marginal utility.” Do you agree? Explain why or why not. c. “It is possible that a rational consumer will not purchase any units of the product represented by these data.” Do you agree? Explain why or why not. Answer: Missing total utility data‚ top – bottom:
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Discuss whether marginal utility theory is a realistic piece of economic analysis in explaining consumer demand. [13marks] Marginal utility is the extra satisfaction gained from the consumption of an additional unit of a good or service. It can be specified as the change in total utility divided by the change in quantity. The concepts of market demand and law of demand often utilized marginal utility as the backbone‚ the theoretical basis. An example would be the demand curve‚ which is usually
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DBQ: Plantation Laborers vs. Industrial Workers Working and living conditions in the 1800s were bad for both plantation workers and factory workers had it particularly bad. Although there were many similarities in their lives‚ there were many differences as well. Nonetheless both jobs were very hard work. The lives of both groups were very much alike. Both worked long hard hours and did hard physical labor. The working conditions were harsh and unsafe in factories and on plantations. Solomon Northrup
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PROBLEM 1 Max has the utility function U(x‚ y) = x(y + 1). The price of x is $2 and the price of y is $1. Income is $10. How much x does Max demand? How much y? If his income doubles and prices stay unchanged‚ will Max’s demand for both goods double? To set his MRS equal to the price ratio‚ Max sets (y+1)/x = 2. His budget constraint is 2x + y = 10. Solve these two equations to find that x=11/4 and y=9/2. If his income doubles and prices stay unchanged‚ his demand for both goods does not double
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treated than the slaves of the south”. The free-laborers were not forced to America in ships‚ stripped of their culture‚ their language‚ and their freedom. The free-laborers were not enslaved. I do not agree with the shoemaker’s statement‚ but rather believe the Southern slaves were treated worse than Northern laborers. It may have been true that laborers in the North had harsh working conditions‚ but they did however‚ have their freedom. The laborers were not treated as if they were property. Slaves
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Mother Never Worked”‚ Smith-Yackel presents us with a situation where she describes her mother as a hard working woman. She starts the essay in the present time with a phone call to a social security office. While on hold‚ the author reflects on how much her mother worked during her life‚ but after the operator returns‚ she informs Smith-Yackel that her mother never worked. I was surprised when the family did not get the death benefit check. Obviously Smith-Yackel’s mother worked very hard during
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government projects induce investors or suppliers Threats subject to such restrictions of laws effective within Manilla suppliers may be discouraged due to the cost of importing VI. Alternative Courses of Action: 1. Limit the numbers of jeepneys‚ utility vans and cabs; and introduce COMET. City Optimized and Managed Electric Transport (COMET) is a PUV designed like a jeepney and a bus which can be occupied by 20 passengers plus those who stand at the middle. Advantages. - better security: Wi-Fi‚
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