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. 1880 Excerpt: ... first term and b the common difference of the arithmetical progression which the five numbers form. Then the numbers are a, a + b, a + 2b, a + b, a + 4b. Their sum is 30-times their common difference; therefore a + a + b + a + 2b + a + b + a + 4b = $ob;.. 50+ 1ob--ob;.. a + 2b = 6b; (1).. a--4b. Also the square of the ...
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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. 1880 Excerpt: ... first term and b the common difference of the arithmetical progression which the five numbers form. Then the numbers are a, a + b, a + 2b, a + b, a + 4b. Their sum is 30-times their common difference; therefore a + a + b + a + 2b + a + b + a + 4b = $ob;.. 50+ 1ob--ob;.. a + 2b = 6b; (1).. a--4b. Also the square of the third exceeds the product of the first and last by 100;.. (a + 2b)2-a(a + 4b) = 100j.'. 4#2=100;.. 2 = 25; (2).: b= 5 The candidate should be especially careful against double values. This is a catch that generally puzzles the unwary. Whenever in an equation the unknown appears in the second power there are two values, and these two may both be allowable, as they are here. I Taking the upper sign in (2) and substituting in (1), a = 20. Hence the numbers are, 2, 25. 3-, 35. 40. If we take the lower sign in (2), we get the series, -20, -25, -30, -35, -40. Either of these series of values satisf1es. 10. Let j x be the 'fixed expenses, ' jQy be the wages, and z be the cost of material in this particular year. Then the whole cost of production is jQx +y + z). But the selling price is. 10,000, and profit 2000;.'. the whole cost is; ( 10,000-2000) =.8ooo. (1).. x +y + z = 8000. In the first supposed year there are the following expenses: --Fixed expenses: -- x. Wages: --He made twice as many pins, and the rate of wages was 50 per cent. higher, i.e. of what it 2 was. Hence he paid 2y x = jQy in wages. Materials: --He made twice as many pins, and the cost was 16-per cent. higher, i.e. 1-of what it 3 6 was. Hence he paid '/T2Z x L = XI--for material. 63 (2) Hence, as before, x + $y + 7-= (2 x 10000)-2000= 18000. 3 In the second supposed year: --Since in this year, instead of selling twice as many pins as formerly, h
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Add this copy of The Questions Set at the Matriculation Examination of to cart. $41.63, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2019 by Wentworth Press.