1)Permutation----nPr = n! ---- (n-r)! 2)Combination----nCr = nPr = n! ----- ------- n r! r! (n-r)! 3)Summation-----∑ X i i =1 n 4)Product--------Л Xi i=1 5)Age specific fertility rate(Asfr)=No of
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n Algebra‚ a term‚ or monomial‚ is comprised of a combination of one to three of the following: numbers‚ variables‚ and exponents. In Algebraic expressions and equations‚ terms are separated by addition and subtraction signs. * Numbers: Constant‚ known quantities that remain fixed. Examples: 100‚ 23‚ -157‚ π * Variables: Symbols that represent unknown quantities. Examples: θ‚ x‚ y‚ and any other letter of the alphabet * Exponents: A known or unknown quantity that raises a base to
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Algebra Problem Week 5 Joby Weatherwax Introduction to Algebra (MAT 221) Stacie Williams Apr 14‚ 2013 Algebra Problem Week 5 Buried treasure. Ahmed has half of a treasure map‚which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure‚ one must get to Castle Rock‚ walk x paces to the north‚ and then walk 2x + 4 paces to the east. If they share
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Student Name: ____Chesey Colston ______ Date: _____12/3/2014_____ Class: Algebra 2 Explore Linear Models: Years of School Average Weekly Paycheck Some high school 11 450 High school graduate 13 585 Some college 15 810 Bachelor’s degree 17 1000 Master’s degree 19 1250 Doctoral degree 21 1600 1) Which type of function (linear‚ exponential‚ or cubic) do you believe will best fit the data? Support your choice. My choice would be a Linear Function because it doesn’t go through an intersection
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Part 1: Description and explanation of innovation The Nomad Micro-Home Fig 1: taken from The Daily Mail’s publication (2013) The Nomad micro-home is essentially a flat-pack‚ self-assembly product. It is a two storey house with all of the mod-cons of contemporary living condensed or minimalized to provide a house that delivers a basic living area that makes the most of the available space by creating innovative ways of incorporating the material things needed for necessary habitation (Warren‚ 2013)
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Case Problem 3: Hart Venture Capital 1. Let S = fraction of the Security Systems project funded by HVC M = fraction of the Market Analysis project funded by HVC Max 1‚800‚000S + 1‚600‚000M s.t. 600‚000S + 500‚000M ≤ 800‚000 Year 1 600‚000S + 350‚000M ≤ 700‚000 Year 2 250‚000S + 400‚000M ≤ 500‚000 Year 3 S
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Period 7 Cost of College In 1983‚ the tuition per term at the University of Oregon was $321. There were three terms per year. In the year 2005‚ the cost of tuition at the University of Oregon is $5853 per year‚ or $1951 per term. This growth in the cost of tuition can be modeled by an exponential function: y = a(b)x. The variable y represents the cost of tuition per term‚ and the variable x corresponds to the number of years that have passed since the initial year. To find this exponential
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Effect of Ratio Profitability: Return on Asset (ROA) and Return of Equity (ROE) to Stock Price of PT Bank Central Asia (BCA) Tbk. Ratio profitability‚ Return on Asset (ROA) and Return of Equity (ROE)‚ of a firm is used as one of parameters for investor to decide whether they want to invest or not. The following table consists of ROA and ROE as well as the stock price of PT Bank Central Asia (BCA) Tbk.‚ as one of the largest bank in Indonesia‚ from year of 2002 up to 2011. Table 1. ROA‚ ROE
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Function Discovery Quick Reference Sheet by Maxwell Cohen Table of functions used in ENGR 132 Type of equations General form The plot that shows your data as linear Linear y=mx + Linear Standard graph b Y vs. X Exponential X y=bemx ln(y) =mx+ln(b) Y = mx+B semilogy mx y=b10 log(y) =mx+log(b) log(Y) vs. X Logarithmic* x=bemy ln(x) =my+ln(b) X = my+B semilogx my x=b10 log(x) =my+log(b) Y vs. log(X) Power y=bxm ln(y)=m*ln(x)+ln(b) Y = mX+B log-log log(Y) vs. log(X) *logarithmic equations with calculations
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Exponential Functions An exponential function is in which a constant base is raised to a variable power. Exponential functions are used to model changes in population size‚ in the spread of diseases‚ and the growth of investments. They can also accurately predict types of decline typified by radioactive decay. The essence of exponential growth‚ and a characteristic of all exponential growth functions‚ is that they double in size over regular intervals. The most important exponential function is
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