Higher Arithmetic

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. 1897 Excerpt: ...as the product of the rate and the number representing the time in years (if the rate is by the yCar), if neither is constant. I.e., for twice the rate, the interest is twice as much, if the time is constant; for twice the time, the interest is twice as much, if the rate is constant; but for twice the time and 1.5 ... Read More

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. 1897 Excerpt: ...as the product of the rate and the number representing the time in years (if the rate is by the yCar), if neither is constant. I.e., for twice the rate, the interest is twice as much, if the time is constant; for twice the time, the interest is twice as much, if the rate is constant; but for twice the time and 1.5 times the rate, the interest is 2 1.5 as much. The common expressions "2 out of 3," "9 out of 10," "2 to 5," "6 per cent" (merely 6 out of 100) are only other methods of stating the following ratios of a part to a whole,, fa, f, Tg5, or the following ratios of the two parts, f, f, f, ft. E.g., to divide $100 between A and B so that A shall receive $2 out of every $3, is to divide it into two parts (a) having the ratio 2:1, or (6) so that A's share shall have to the whole the ratio 2: 3, or (c) so that B's share shall have to the whole the ratio 1:3. To divide $1000 in the ratio of 7: 8. 1. There are 15 parts of which 7 are to go into one share. 2-. ffi1?LA = A; and. tne dividend x is the product of the $1000 divisor $1000 and the quotient T7, 3..-. x = T of $1000, or $466.67. 4..-. the other share is $1000--$466.67 = $533.33. Other applications will be seen in the following exercises. Exercises. 1. Divide $1000 so that A shall have $7 out of every $8. 2. Divide $500 between A and B so that A shall have $0.25 as often as B has $1.25. 3. The area of the United States is 3,501,000 sq. mi., and the area of Russia is 8,644,100 sq. mi.; express the ratio of the former to the latter as a fraction with the denominator 100. 4. From the following table of German statisties find, to 0.01, the ratios of the numbers of crimes for each pair of years, and also of the prices of grain for the same periods. 5. The foll... Read Less