FEDERAL MONEY. II. To find the interest of any number of cents for any number of days less than a month, at 6 per cent. RULE. multiply the cents by the number of days, divide the product bý 6, and point off two figures to the right, and all the figures at the left hand of the dash, will be the interest in mills, nearly. EXAMPLES. Required the interest of 85 dollars, for 20 days. $ cts. inills. 85=8500X20---65283,33 Ans. 283 which is 28cts. 3 mills. 2. What is the interest of 73 dollars 41 cents, or 7341 cents, for 27 days, at 6 per cent. ? Hus. 330 mills, or 33cts. III. When the principal is given in pounds, shillings, &c. New-England currency, to find the interest for any number of days, less than a month, in Federal Money. RULE. Multiply the shillings in the principal by the number of days, and divide the product by 56, the quotient will be the interest in mills, for the given time, nearly; omitting fractions. EXAMPLE Required the interest, in Federal Money, of 271. 15s. for 27 (lays, at 6 per cent. 6 £. S, Mrs. 27 15 =555 X 977-36=416mills=41cts. 6m. S. IV. When the principal is given in Federal Money, and you want the interest in shillings, pence, &c. New-Eng. larul currency, for any number of days lass than a month. EXAMPLES. S. d.grs. RULE. Multiply the principal, in cents, by the number of days, and point off tive figures to the right hand of the product, which will give the interest for the given time, in shil. lings and decimals of a shilling, very nearly. A note for 65 dollars, 31 cents, has been on interest 25 days; how much is the interest thereof, in New-England currency? $ cts. ins. 65,51=6551 X25= 1,63975=1 $ REMARKE...In the above, and likewise in the preceding practical Rules, (page 197) the interest is contined at six per cent. which admits of a variety of short methods of casting; and when the rate of interest is 7 per cent. as established in New-York, &c. you may first cast the me terest at 6 per cent and add thereto one sist of itself, and the sum will be the interest at 7 per cent. wllich perhaps, many times, will be found more convenient than the general rule of casting interest. Required the interest of 751. for 5 months at 7 per cent. 7,5 for 1 month. 5 EXAMPLE £. s. d. 37,5=1 17 6 for 5 months at 6 per cent. 6 S Ans £2 3 9 for ditto at ry per cent. A SHORT METHOD FOR FINDING THE REBATE OF AS GIVEN SUM, TOR MONTHS AND DAYS. RUI.E. Diminish the interest of the given suin for the time by its own interest, and this gives the Rebate very nearls. EXAMPLES. 1. What is the rehate of 50 dollars for six montis, it merren: S cts. The interest of 50 dollars for ( months, is 1 50 And, the interest of I dol. 50 cts. for 6 months, is ins. Hiphate, $1 2. What is the rebate of 150!. for 7 months, at 5 per cont. f. s. ki. Interest of 150!. for 7 months, is 76 Interest of 41. is. Gil. for months, is 2 63 ARS. 4,4 4 11} nearly. By the abore Rulc, those who use interest tables in their counting-houses, have only to deduct the interest of the interest, and the remainder is the discount. A concise Rule to reduce the currencies of the different States, where a dollar is an even number of shillings, to Federul Joney. RULE I. Bring the given sum into a decimal expression by in spection, fis in Problem I. page 87) then divide the indle by ,s in New-England and by ,4 in New-York currency, and the quotient will be dollars, cents, &c. EXAMPLES. 1. Reduce 511. 6s. ld. New England currency, to Federal Money. ,3)54,415 decimally expressed. Ins. $181,58 cts. 2. Reduce 7s. 11.d. New-England currency, to Federal Money. s. 11811.=40,599 then, ,3),399 Ans. $1,33 3. Netluce 5151. 16s. 10d. New-York, &c. currency to Federal Money. 19)515,312 decimal Ans: S1204,60% ral money. 4. Reduce 195. 5şd. New-York, &c. currency, to Fede. ,470,974 decimal of 19s. 53d. 82,43: Ans. 5. Reduce 641. New-England currency, to Federal Money. „5)64000 decimal expression. $215,387 Ans. Note.-By the foregoing rule you may carry on the decimal to any degree of exactness; but in ordinary prac. tice, the following Contraction may be useful. RULE II. To the shillings contained in the given sum, annes o times the given pence, increasing the product by 2; then divide the whole by the number of shillings contained in a dollar, and the quotient will be cents. EXAMPLES. 1. Reduce 45s.6d. New-England currency, to Feder ral Money. 6x8+2 50 to be annexed. Scts. 758 cents. =7,58. 2. Reduce 21. 10s. Od. New-York, &c. currency, t Federal Money. 9x5+2=74 to be annexed. Then 8)5074 Or thus, 8)50,74 Scis. Ans. 634 cents.=6 34 $6,34 Ans. N. B. When there are no pence in the given sum, you must annex two cyphers to the shillings; then divide as before, &c. 3. Reduce 31. 5s. New-England currency, to Federal Money 81. 58.=659. Then 6)6500 ents, 1083 Ans VOR FINDISG THE CONTIXIS 02 SUPERFICIES SOLIDS. SECTION I. OF SUPERFICIES. The superficies or area of any plane surface, is composed or made up of sautres, either greater or less, ac. cording to the different measures by which the dimensions of the figure are taken or measured :--and because 12 inches in length make I foot of long measure, thereCore, 12x12=144, the square inches in a superficial foot, &c. Ant. I. To find the arca of a square having equal siles. Multiply the side of the square into itself, and the product will be the area, or content. EXAMPLES. 1. How many squire feet of bearls are contined in the floor of a room which is 20 feet square ? 20x20=200 feet, tłe Ansuar. 2. Suppose a square lot of land measures 26 rods on rach side, how many acres doth it contain: NOTE.---160 square rods make a! acre. 56:. the swer. ART. 2. To measure a Parallelogram, or long square. D'aultiply the length by the bread, and the product will be the area or superficial content. EXIMILIES. 1. A certain garden, in form of a long squae, is 96 ft. long, and 54 wide ; low many square feet of ground are contained in it? jns. 06X5435194 square feet. 2. A lot of land, in form of a long square, is 120 rode m length, and to reds wide ; how many acros are in it? 120x60=7200 sq. rods, th012,20=45 cores, Ans. 3. If a board or plank be 21 fcet long and 18 inches broad; how many square feet are contained in it? ; 18 inches 1,5 tra!, then 21X1,5=31,5 Ans. |