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A New and Complete System of Arithmetick; Composed for the Use of the Citizens of the United States

A New and Complete System of Arithmetick; Composed for the Use of the Citizens of the United States


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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1822 Excerpt: ...-Yute. 7500 wheat or barley corns are supposed to make a pint. t Any sum at 6 per cent, per annum, compound interest, will double in eleven years and three hundred and twenty five days, or 11-889 years, or I l-8fl is near enough; then, ii you divide 1784 by 11-89, it will give t;i? n-iuiber of terms in this case.equal to ISO; the ratio wiU be 2, and the first term 1. 4-67273337308854741368832000=415930899840288-8, which, however incredible it may appear to some, is more than four hundred and fifteen millions of millions, nine hundred and thirty thousand, eight hundred and ninety-nine million?, eight hundred and forty thousand, two hundred and eighty-eight times larger than the globe we inhabit. For the solution of the four following questions, see last part of note under Problem I. 9. A frigate pursues a ship at 8 leagues distance, and sails twice as fast as the ship; how far must the frigate sail, before she comes up with her? First, 8. 4. 2. 1. l. &c. 8X8=64', and 64--8--4=16 leagues, Ans. 10. Suppose a ball to be put in motion by a force which impels it 10 rods the first minute, 8 the second, and so on decreasing by a ratio of 1-25 each minute to infinity; what space would it move through? Ans. 50 rods. 11. Required the value of-999, to infinity, or-9? The first 9 or-9, =/, the second, or 09=; therefore, 9x;M--9--09=1 Ans. 12. Required the sum of, J, kc. to infinity? Ans. 1. 13. What is the sum of, -fa, fee. to infinity? Ans. J4. What is the sum of J, TV, Vt c. t0 infinity Ans. 15. What is the sum of-1, -01, 001, &c. to infinity? Ans. i. 16. What is the sum of 1, Jr, Tj-&c-10 infinity? Ans. 1-'. 17. What is the sum off, T4T, for 7 terms? Ans. f fff. Ill 18. What is the sura of j-j, fgvf &c-to infinity? Ans. 16f. Problem III. The first ter...


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Product Details
  • ISBN-13: 9781231017975
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 142
  • Spine Width: 8 mm
  • Width: 189 mm
  • ISBN-10: 123101797X
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 268 gr


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