92/ 61 A TABLE, Shewing the Number of Days, from any Day in any Month, to the fame Day in any other Month, through the Year. From Jan. Feb. Mar. Ap. May. Jun. July.Aug.Sep. O&t.Nov.Dec. To Jan. 265334 306 275 245 214184 153 122 31 Feb. 31365 337 306 276 245 215 184 153 123 92 62 Mar. 59 28 365 334 304 273 243 212 181 151120 90 Apr. 90 90 59 31 365 335 304 274 243 212 182 151 121 May. 120 891 61 30 365 335 3041273 242 212 181 151 June. 1511201 92 61 31365335 304 2731243 212 182 July. 181150122 61 30365 334 303 273 242 212 Aug. 212 181153 122 92 61 31/365 334 304 273243 Sept. 243 212 184 153 123 311365 335 304 274 Oct. 273/2421214 183 153 122 30365334 304 Nov. 304/273 245 214 184 153 1231 92 61 31 365 335 Dec. 1334/303275 244 / 214 183|1531122 91 611 30 1365 91 92 62 92 61 THE USE OF THE TABLE, Suppose the number of days between the 3d of May and the 3d of Noveinber was required; look in the column under May for November, and against that month you will find 184. If the given days be different, it is only adding or subtra&ting their inequality to or from the tabular number. Thus from May 3d to Nov. 17th is 184+14=198 days, and from Nov. 17th to May 3d is 181-14=167 days. If the time exceed a year, 365 days must be added ; thus from the 4th of Feb. 1798, to the 4th of Sept. 1799, is 212+365=577 days. Note. In leap-years, if the end of the month of February be in the time, one day must be added on that account. COMPOUND INTEREST Is that which arises both from the principal and interejt ; that is, when the interest on money becomes due, and not paid, it is added to the principal, and intereit is calculated on this amount as on the principal before. Rule. Find the simple interest of the given fum for one year, and add it to the principal, and then find the interest for that amount for the next year, and to on for the number of years required. Subtract the principal from the last anonnt, and ihe remainder will be the compound interest. EXAMPLES 3 years, at 6 per cent. per annum ? 56246 14 6 12 } first year's intereft. 5 26 277 4:41 amount of the second year. third year's interest. } 2 47 Anf. £.47 25. 6d. 2. What is the compound interest of £ -760 105. for 4 years, at 6 per cent. per annum ? And. £.199 12 2 3. How much is the amount of £ .128 27 6, for six years, at 6 per cent. per annum, compound interest ? Anf.182 16 21 4. How much is the amount of 500 dollars, for three years, at 6 per cent. per annum, compound interest ? 5 500, 5, 1 20 25; } first intereft. 595,50$ the amount required. Anf. 595 dols. 504 cts. 5. What is the amount of 629 dollars, for 7 years, at 6 per cent. per annum, compound intereft ? Ans. 945 dols. 78 cts. 3 m. 6. How much is the compound interest of 1256 dollars, for 15 years, at 6 per cent, per annum ? Ans, 1754 dols. 6 cts, 6 m. A TABLE Shewing the amount of one pound or one dollar for any number of years under 33, at the rates of 5 and 6 per cent. per annum com. pound intereft. YEARS. RATES, YEARS 1 2 3 8 5 1,050.00 1,10250 1,15762 1,2 1550 1.27628 1,34009 1.40710 1,47745 1,55132 1,62889 1,71034 1,79585 1.88565 1.97993 2.07892 2.18287 6 1.06000 1,12360 1,19101 1,26247 1,33822 1:41852 1,50363 1,59384 1,68948 1,79084 1,89829 2,01219 2,13292 2,26090 2,39655 2.54035 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 S RATES. 6 2,29201 2,69277 2,40662 2,85434 2,52695 3,02559 2,65329 3,20713 2,785963,39956 2,92526 3,60353 3,07152 3,81975 8,22510 4,04893 3:38635 4,29187 3,55567 | 4,54938 3,73345 4,82234 3:92013 4,11613 5.41838. 4,32194 5,74349 4,53804 1 6,08810 4.76194 | 6,45338 9 10 II I2 5:11168 13 14 15 16 The use of this Table is plain and easy, for multiplying the figures Atanding against the number of years, by the given principal, the product is the amount required. EXAMPLES 7. What is the amount of 500 dollars for three years at 6 per cent. compound interest ? 1,19101 500 the tabular number for the time, 595,50500 Anf. 595 dols. 50 cts. 8. A merchant, on inspecting some old accounts in March, 1799, finds a settlement dated March, 1771, by which it appears there is due from him to A. B. £.2 85. this fum he pays with compound interest at 6 per cent, per annum. The amount of it is required. 5,11168 the tabular number for 28 years. 2,4 the principal with the shillings inserted decimally. 2044672 1022336 £.12,268032 20 s. 5:360640 I2 d. 4:327680 4 Calculated in Federal Money. 8 dollars. dols. 40,89344 Ans. 40 dols. 89 cts. 3 mills, as above. 1 COMMISSION AND BROKERAGE. COMMISSION and BROKERAGe are compensations to Factors and Brokers for their respective services. The method of operation is the same as in Simple Interest. EXAMPLES. 1. What is the commission on £.596 18 4 at 6 per cent. ? 596 18 4 Or thus, £.517 596 18 4 3. 2. What is the commission on 1974 dollars at 5 per cent. ? 1974 5 98,70 Ans. 98 dols. 70 cts. What is the commission on £.526 11 5 at 31 per cent. ? Anf. £.18 8 7 4. What is the commission on £.1258 17 3 at 7 per cent. ? Ani. £.93 3 14 5. What is the commission of 2176 dols. 50 cts. at 24 per cent. ? Ans. 54 41 cts. 2 m. 6. The sales of certain goods amount to 1873 dols. 40 cts. what sum is to be received for them, allowing 2į per cent. for commission, and 1 per cent. for prompt payment of the neat proceeds ? Anf. 1821 dols. 99 cts. 9 m. 7. Required the neat proceeds of certain goods amounting to 456 11 8 allowing a commission of 21 per cent. £.5 456 11 8 11 8 31 commission Ans. £.445 3 41 neat proceeds. Ăni. £.68 11 51 Anf. £.107 13 91 10. What is the commission on £.1859 7 6 at į per cent. ? Ans. £.16 5 41 11. What is the brokerage on 1853 dols. at i per cent. ? Ans. 13 dols. 89 cts. 7 m. 12. What is the brokerage on £.874 15 3, at & per cent ? Ans. £.2 3 81 13. What is the brokerage on 1298 dollars 53 cts, at per eent ? 1298,53 3 8)3895,59 dols. 4,86,94 Ans. 4 dols. 86 cts. 9 A. 14. What is the brokerage on £.1321 11 4, at if per cent ? Anf, t.14 17 4 |