895. Divide. Do not write products (Arts. 385, 616): 1. How many boards 16 ft. long, 8 in. wide, will be required for a tight fence 8 ft. high, around a piece of ground 240 ft. long, 180 ft. wide? How many posts, 6 ft. apart, will be needed? 2. A room is 18 ft. long, 15 ft. wide. The walls and the ceiling contain 930 sq. ft. What is the height of the room? 3. What will it cost to cover a table 6 ft. long, 2 ft. wide, with baizeyd. wide, at 75 per yd.? rods make 1 acre. 4. 160 square How many square yards are there in an acre? About how many yards long is a square field containing 1 acre? 5. A 40-acre field is 160 rods long. How many rods of fence are needed to enclose the field? 6. A room 30 ft. long, 24 ft. wide, 15 ft. high, contains 40 persons. How many square feet of floor space are there for each occupant? How many cubic feet of air space are there for each? 7. How many yards of carpet, 27 inches wide, would be needed for the floor of such a room? 8. How many bundles of laths, each bundle covering 3 square yards, would be needed for the walls and ceiling of the above room, no allowance being made for doors and windows? 9. A farmer owned a rectangular piece of ground 30 rods long, 27 rods wide. He sold three lots 18 x 8 rods, 12 x 3 rods, 15 x 9 rods. Find the number of square rods in the original piece. Mark in the diagram the area of each lot sold, and the area of the part remaining. 10. How many rods of fence will be needed to enclose the part remaining? 11. How many gallons will fill a tank 22 feet long, 14 feet wide, 9 feet deep? Indicate operations. Cancel where possible. 12. How many cords of wood are there in a pile 48 feet long, 16 feet wide, 12 feet high? BANK DISCOUNT. 900. Wm. Brown and Sons receive the following note in settlement of their account with Thomas Tierney: ST. PAUL, May 30, 1893. Thirty days after date, I promise to pay to the order of Wm. Brown and Sons, Three Hundred Fifty-Four 75 Dollars, value received, at the Park National Bank. $354,70%. 10 THOMAS TIERNEY. 901. This money is payable 33 days after May 30, 3 days of grace being allowed. If Wm. Brown and Sons desire to use the money at once, they may have the note discounted at a bank. In this case, the bank deducts from the face of the note ($354.75), the interest thereon for 33 days, and pays over the difference (proceeds). Face of note $354.75 1.95 (at 6%) Proceeds $352.80 902. Slate Exercises. Find the discount at 6% on the following, allowing 3 days of grace in each case. (See Appendix, section 1305.) 1. A 30-days note for $75. 2. 15-days note for $183.60. 4. 20-days note for $96. Find the proceeds, at 7%, on 6. A 6-months note for $180. 8. A 24-days note for $795.60. 9. A 90-days note for $180. 10. A 72-days note for $1,000. 903. In computing the discount on a note, the banks ascertain the exact number of days. A 3-months note, dated February 1, is payable three days after May 1, which is May 4. The discount is taken for 27 +31 +30 +492 days. A 90days note of the same date is payable 93 days after February 1, which is May 5. The year, however, is considered to contain 360 days; the interest in the first case being taken for of a year, and in the latter for of a year. 380 360 Find the discount, at 6%, on 11. A 1-month note for $600, dated Feb. 6, 1894. (3) 12. A 2-months note for $240, dated July 17, 1894. (5.) 13. A 3-months note for $360, dated April 8, 1894. 14. A 4-months note for $84, dated Dec. 24, 1894. 17. A 90-days note for $360, dated April 8, 1894. 360 904. In each of the preceding examples, it has been assumed that the note has been presented for discount the day on which it was made. In some of the following examples, the notes are discounted at a later date, and the term of discount is to be ascertained; that is, the time between the date of discount and that of maturity (including the days of grace). The term of discount of a 30-days note dated May 1, and discounted May 19, is 15 days. 905. In the following examples, find (a) date of maturity; (b) term of discount; (c) discount; (d) proceeds: When the time is less than one year, ascertain the exact number of days. When greater than a year, find the time by compound subtraction, taking the month of 30 days. 1. $160; Jan. 2, 1893, to May 16, 1896; 41%. 3. $59.80; Feb. 24, 1896, to Dec. 24, 1896; 5%. 4. $1,234.56; Aug. 3, 1890, to Jan. 1, 1896; 51%. |