413. If 175 bags of corn cost $266, what will of a bag cost? 414. If a locomotive runs 180 miles in 6 hours, how far is that for of an hour? 415. How many pounds of tea in of a chest, if in 11 chests there are 485 lb. ? 416. What is the value of 24 baskets of strawberries, if 17 baskets cost 110 cts.? 417. What is the number of inches around 1 orange, if 6 oranges measure 454 inches in circumference? 418. If there are 326 bundles of wood in 1 wagon load, how many in of a wagon load? 419. If there are 2126 lemons in 4 boxes, how many in of a box? 420. What will 1 bushels of wheat cost, if 461 bu. cost $82.301? 421. If 25 yd. of flannel are worth $12.873, what is the value of yd.? 422. How much will 1 oz. indigo cost, if 113 oz. cost $1.88 ct.? 423. What will lb. tea cost, if 7 lb. are worth $8% ? 424. If there are 440 lb. rice in 82 bags, how many in 1 bag? 425. If 36 acres of wheat yield 637 bu., at that rate what will 54 acres yield? LESSON XXXII. 426. 36+47÷83. 431. 25-11÷147. 427. 46+83÷47. 436. 3+1+1+2×2. 432. 46-27+1864. 437. §+1+1+9-15 428. 382+67÷÷96. 433. 23743-287-9173. 488. ++9÷8+7. 429. 11+12÷300. 434. 21+8478-8641. 439. 1+3+63 438. 440. 2-3÷46734. 441. If I can buy 22 lemons for $1.12, what will 56 lemons cost? 442. If 27 yd. of ribbon cost $4.90, what will 58 yd. cost? 443. How much must be given for 19 umbrellas, if 5 cost $14.37. 444. How many cords in 15 piles of wood, if there are 793 cords in 11 piles? 445. How many words can a man write in 15 minutes if he can write 159 words in 3 minutes? 446. If there are on the average 9 damaged pens in à gross, how many in 1123 gross ? 447. What will be the cost of 12 pianos, if 7 cost $2020 ? 448. If 9 horses cost $1305, what will 13 cost? 449. If 11 pineapples cost $2.231, what will 25 cost? 450. If 17 pecks of turnips are worth $3.124, what are 27 pecks worth? LESSON XXXIII. MISCELLANEOUS EXAMPLES IN FRACTIONS. 451. 34+4+34×53; 59-37 × 4. 452. 38 x÷42; 638-205 × 8. 453. 412-467; 9x54÷413. 455. 143+5; 31+ 8×3. If a man can saw 13 cords of wood in of a month, how many can he saw in & of a month? 456. If a bird can fly 10 miles in § of an hour, at that rate how far can it fly in 24 hours? 457. If yd. of velvet cost 744 ct., at that rate how much must be given for 13 yd.? 458. In of the wall of a house there are 2200 bricks, how many bricks in a wall twice as great? 459. If in of a ream of paper there are of a pound, how many pounds in 6 reams? 460. If a man's postage amounts to $14 for of a year, to how much will it amount for 23 years? SECTION IX. LESSON I. INTEREST. 131. Interest is an amount paid for the use of money. 132. The Principal is the sum on which interest is paid. 133. Rate per cent. is the per cent. paid annually. 134. Amount is the sum of the principal and the interest. 135. To find the Interest or Amount of any principal, for any time, at any rate per ct. What is the interest on $325 for 8 yr. 3 mo. 11 da. at 7 per cent.? FORM.-1. If the interest on $1 for one year is 7 cts., the interest on $325 for the same time is 325 times 7 cts., which are $22.75; and if the interest is $22.75 for one year, for 8 years it is 8 times $22.75, which are $182. 2. If the interest on the given principal for one year is $22.75, the interest for one month is one twelfth of $22.75, which is $1.8958; and for 3 months the interest is 3 times $1.8958, or $5.6874. 3. If the interest on the given principal for one month is $1.8958, for one day it is one thirtieth of $1.8958, which is $1.0632; and for 11 days it is 11 times $0.0632, which is $0.6952. *The teacher should show the necessity of retaining the tenth of a mill in operations of this kind when great accuracy is required. 4. If the interest on the given principal for 8 years is $182, for 3 months $5.6874, and for 11 days $0.6952, the interest for the entire time is the sum of these quantities, which is $188.3826. 5. The amount is the sum of the principal and interest, which is $513.3326. Therefore, &c. (a). Rule.-I. Multiply the given principal by the rate per cent., divide the product by 100, and the result will be the interest for one year. II. Divide the interest for one year by 12, and the result will be the interest for one month; divide the interest for one month by 30, and the result will be the interest for one day. III. Multiply the interest for one year by the number of years the interest of one month by the number of months, and the interest for one day by the number of days, and the sum of the products will be the interest required, to which add the principal for the amount. LESSON II. What is the interest of $341.25 for each of the following periods? 1. 3 yr. 2 mo. 12 da. at 6 per ct. 7. 5 mo. 15 da. at 6 per ct. 8. 14 yr. 8 mo. at 1 per ct. 9. 11 yr. 25 da. at 1 per ct. 10. 3 yr. 4 mo. 16 da. at 1 per ct. 11. 4 yr. 8 mo. 11 da. at 1 per ct.. LESSON III. 21. $342 for 3 yr. 12mo. 9 da. at 7 per ct. 23. $241.31 for 5 yr. 8 mo. 12 da. at 8 per ct. 24. $11.24 for 8 yr. 9 mo. 26 da. at 6 per ct. 25. $41.38 for 9 yr. 11 mo. 15 da. at 6 per ct. 26. $11.43 for 8 yr. 11 mo. 3 da. at 1 per ct. 27. $137.18 for 11 yr. 5 mo. 4 da. at 6 29. $600.41 for 19 mo. at 1 per ct. per ct. 30. $5.36 for 1 yr. 1 mo. 1 da. at 1 per ct. 31. What is the amount of a note for $378, for 3 yr. 7 da. at 6 per ct.? 9 mo. 32. What is the amount of a note for $275, for 3 yr. 7 mo. 8 da. at 7 per ct.? 33. What is the amount of a note for $360.30, for 2 yr. 9 mo. 11 da. at 5 per ct. ? 34. I gave a note Jan. 1, 1864, for $275; what will be the amount April 1, 1865, at 7 per cent. int.? 35. I gave a note Oct. 11, 1863, for $576; what will be its amount Feb. 11, 1865, at 6 per ct.? 36. I hold a note for $127, dated Aug. 13, 1837; what should I receive Sept. 13, 1841, interest being at 7 per ct.? 37. I loaned $373 July 11, 1863 at 6%; how much interest should I receive April 13, 1868? LESSON IV. 38. What was the interest on the following note, at 7 per ct. when paid June 12, 1864 ? 5 $300,0% BROOKLYN, N. Y., June 30, 1858. One day from date, I promise to pay Delos Curtiss or order, three hundred dollars and seventy-five cents, value received. E. S. BUNKER. 39. What is the interest on the following note, when paid April 11, 1863, at 6 per cent.? $730. BROOKLYN, N. Y., June 11, 1859. Nine months from date, we promise to pay J. Legget or order, seven hundred and thirty dollars, with interest from date, valuereceived. 40. $575. BEACH, BRADISH, GODWIN & Co. ALBION, N. Y., April 12, 1863. Two years seven months from date, I promise to pay Orlow C. |