is the rate of depreciation (in dollars per year) after 1 year? 2 years? 3 years? Solution. The rate of depreciation after t years is the derivative of R with respect to t : R (t ) = dR = −3000e−0.15t . dt The rate of depreciation of the car after the first‚ second and third years are: R (1) = −3000e−0.15 = −2582 dollars‚ R (2) = −3000e−0.3 = −2222 dollars‚ R (3) = −3000e−0.45 = −1913 dollars. 1 √ Sec11-3 Q38 Find the equation of the line tangent to the graph of y = f (x); f (x)
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Anything you write on this formulae page will gain NO credit. Volume of prism = area of cross section × length 1 Area of trapezium = 2 (a + b)h a cross section h h lengt b Volume of cone = 1 r2h 3 Curved surface area of cone = rl Volume of sphere = 4 r3 3 Surface area of sphere = 4 r2 r l h r In any triangle ABC b A Sine Rule The Quadratic Equation The solutions of ax2 + bx + c = 0 where a ≠ 0‚ are given by C a B c x= −b ± (b 2 − 4ac)
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1. Arrange the following in descending order: a. 29 ‚23 ‚821 b. 15 ‚37 ‚710 2. A rectangular sheet of paper is 1212 cm long and 1023 cm wide. Find its perimeter. 3. Salil wants to put a picture in a frame. The picture is 735 cm wide. To fit in the frame the picture cannot be more than 7310 cm wide. How much the picture should be trimmed? 4. Find the perimeters of (i) ABE (ii) the rectangle BCDE in the figure below. Whose perimeter is greater? 5. In
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4-MAT Review: Integrative Approaches to Psychology and Christianity Charlee Alan-Evans University 4-Mat Review: Integrative Approaches to Psychology and Christianity SUMMARY In David Entwistle’s book‚ Integrative Approaches to Psychology and Christianity (2010)‚ he explores two potentially divergent disciplines: psychology and theology. He then considers whether integration of these two disciplines is attainable‚ desirable‚ or necessary (p. 16). The author points out that regardless
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Population Trends in China The goal of this mathematical study is to explore the different functions that best model the population of China from the years 1950 to 1995. Year | 1950 | 1955 | 1960 | 1965 | 1970 | 1975 | 1980 | 1985 | 1990 | 1995 | Population in Millions | 554.8 | 609.0 | 657.5 | 729.2 | 830.7 | 927.8 | 998.9 | 1070.0 | 1155.3 | 1220.5 | Using the Chinese population data from 1950 to 1995‚ let us construct a graph using technology. Before graphing the data though‚ we must
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a number‚ rather than answers with words. 2. Write a hypothesis of what you expect your research to reveal. Example: Adults 21 years and over watch an average of 2.5 hours of TV per day. 3. Sample at least fifteen people and record their data in a simple table or chart; study the examples from Section 12-3. 4. You can gather your data at work‚ on the phone‚ or via some other method. This is your “Sampling Design.” Which of the four sampling techniques best describes your design? 5. Explain
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Although current leadership theory emphasizes the distinction between transactional and transformational leadership‚ in fact‚ most leaders have a mixed profile of the full range of leadership styles. The best form of leadership is not only transformational or only transactional‚ but rather a combination of the two. However‚ in order to better understand each style ’s pros and cons‚ they have to be discussed in terms of similarities and differences. This cross-analysis will reveal further inquiry
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1 .5 x-3 .5 1.1.4 4 - 81 + 1250 1 1 2(-) 4() =2 –3 +1 = 2– 1 – 3 3 + 1 1 = – 27 + 1 1 = – 25 1 1.2.1 4.3x = 36 (5) ∴4.3x = 36 4 4 ∴3x = 9 1 ∴3x = 32 1 ∴x = 2 1 1.2.2 16-x = 2 1 4(- x) =2 ∴2 (3) ∴ 2-4x = 2 ∴-4x = 1 1 ∴-4x = 1 -4 -4 ∴ x = - 1 (5) (3) [23] (3) (4) - = 53x + 2. 5x - 3. 5 52(2x – 1) 1 = 53x + 2. 5x - 3. 5 54x – 2 1 =5 3x + 2 + x – 3 + 1 – 4x + 2 = 52 1 = 25 1 1.1.2 3x + 3x + 2 3x + 1 = 3x + 3x .32 3x .3 1 = 3x(1 + 32) 3x.3 1 = 10 of/or 3 1 3 __ ___ ___
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processes included Critical Thinking‚ Creative Thinking‚ Innovative Thinking‚ Adaptive Thinking‚ Reflective Thinking‚ Analytical Thinking Future Thinking‚ Systems Thinking‚ and Synthesis. Of all the mentioned strategic thinking processes‚ I believe that adaptive thinking is the most important. I will now explain why adaptive thinking is important and how this concept will be applied to my leadership development. Adaptive thinking describes the capacity to address a problem or situation as it changes
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Answer Key Question 1 (Worth 3 points) (Courts and Civil Liberties 04.01 MC) A supreme court has jurisdiction on a case when the case has been appealed directly from the trial court decision because of a constitutional question heard by a court of appeal and there is a legitimate constitutional question refused to be heard in either a criminal or civil court of appeals dismissed by local law enforcement against citizen wishes Points earned on this question: 3 Question 2 (Worth 3 points) (Courts and Civil Liberties 04
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