Calculate the minimum value of n. (4) (Total 6 marks) 3. (a) Consider the geometric sequence −3‚ 6‚ −12‚ 24‚ …. (i) (ii) Write down the common ratio. Find the 15th term. (3) Consider the sequence x − 3‚ x +1‚ 2x + 8‚ …. IB Questionbank Maths SL 1 (b) When x = 5‚ the sequence is geometric. (i) (ii) Write down the first three terms. Find the common ratio. (2) (c) Find the other value of x for which the sequence is geometric. (4) (d) For this value of x‚ find (i) (ii)
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FINANCIAL MATHEMATICS 1. RATE OF RETURN 2. SIMPLE INTEREST 3. COMPOUND INTEREST 4. MULTIPLE CASH FLOWS 5. ANNUITIES 6. LOAN REPAYMENT SCHEDULES Financial Math Support Materials Page 1 of 85 (1) RATE OF RETURN FINANCIAL MATHEMATICS CONCERNS THE ANALYSIS OF CASH FLOWS BETWEEN PARTIES TO A CONTRACT. IF MONEY IS BORROWED THERE IS AN INTIAL CASH INFLOW TO THE BORROWER BUT AFTERWARDS THERE WILL BE A CASH OUTFLOW IN THE FORM OF REPAYMENTS. A person
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Kyoo il Kim Department of Economics University of Minnesota Introduction to Econometrics‚ Econ4261 Spring 2013 P ROBLEM S ET 1 (D UE F EBRUARY 7‚ T HURSDAY IN CLASS ) Answer the Followings 1. Calculate: a) E[X]‚ E[Y ] b) V ar[X]‚ V ar[Y ] c) Cov[X‚ Y ] d) ρ(X‚ Y ) from the distribution below Y =1 X = 5000 X = 10‚ 000 X = 15‚ 000 0 1/8 1/3 Y =0 1/4 1/8 1/6 (1) 2. Suppose E[X] = 1 and E[Y ] = 2 and suppose X and Y are independent. Evaluate: a) E[2X + 1] b) E[X + Y ] c) E[X − 2Y ] d) E[XY
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Kelly Panizza Assignment # 1 Algorithm-Spring 2011 1. Do some research on al-Khorezmi (also al-Khwarizmi)‚ the man from whose name the word “algorithm” is derived. In particular‚ you should learn what the origins of the words “algorithm” and “algebra” have in common. R: / the word “Algorithm” or “Algorism” in some other writing versions‚ comes from the name Al-Khwarizmi (c. 780-850)‚ a Persian mathematician‚ astronomer‚ geographer
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’Let me not to the marriage of true minds’ (sonnet 116) by William Shakespeare (1609) This poem is called ’let me not to the marriage of true minds’ and it’s written by William Shakespeare. It was first published in 1609. This sonnet is one of Shakespeare’s most famous love sonnets. William Shakespeare was an English poet and playwright. He is often called England’s national poet and the ’Bard of Avon’. His surviving work consists of 38 plays‚ 154 sonnets‚ 2 long narrative poems and several
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William Shakespeare’s “Sonnet 116” and Edna St. Vincent Millay’s “Love Is Not All” both attempt to define love‚ by telling what love is and what it is not. Shakespeare’s sonnet praises love and speaks of love in its most ideal form‚ while Millay’s poem begins by giving the impression that the speaker feels that love is not all‚ but during the unfolding of the poem we find the ironic truth that love is all. Shakespeare‚ on the other hand‚ depicts love as perfect and necessary from the beginning to
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Financial Analysis Your Name Here XACC 280 Instructor’s Name Introduction: Pepsi Co. and Coca Cola‚ both are very well known multinational companies. They are so famous that they perhaps don’t need any introduction since almost everyone knows basic info about these companies and their widely used products. Both of these companies have been dealing in the production of flavored waters‚ plain drinking water and soft drinks for decades now
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Social Psychology Paper Jennifer Hogue PSY 201 03/09/2014 Ann Reed Social Psychology Paper Sarah’s upbringing in such an affluent household meant that she was held to a certain level of standards and is expected to act a specific way according to the way her parents have brought her up. She is a bright and smart girl‚ which is shown in the fact that she exemplifies exceptional grades and is taking a majority of honors classes. The profile we were given about Sarah did not specify the type of friends
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EARLY RENAISSANCE POETRY: THE POEMS Source Text: Ferguson‚ Margaret‚ et al (eds). The Norton Anthology of Poetry. Fifth Edition. New York: W.W. Norton‚ 2005. 1 Thomas Wyatt 1503 – 1542 The Long Love That in My Thought Doth Harbor1 The long˚ love‚ that in my thought doth harbour‚˚ enduring/lodge And in mine heart doth keep his residence‚ Into my face presseth with bold pretence‚ And therein campeth‚ spreading his banner.2 She that me learneth˚
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APPRECIATION Alhamdulillah. Thank God for giving us chance to finish our Basic Math course work on the right time. Well‚ this task gives us a lot of experiences during the process to finish it. It was quite tough to finish this task because this problem solving task is new for us. But‚ we finished this course work perfectly. A big thank you also must be given to En. Mohd. Azmi because helps us a lot to finish this task. He gave us the guidelines about routine and non-routine problems and how
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