. 31 for the last yr. £. 252 for 14 years. Then 252-14=18% annually. ans. CASE 2. EXAMPLE S. (2) 48-3-45 last term, less the first; and 45-10—1=5 common difference. answer. (3) 60-20-40 and 40÷21-1=2 com. diff. answer. Then 20 the age of the first; and 20+2=22 ditto of the second &c. &c. (4) 60-6-54 and 5419-1=3 miles common difference. Then, 60+6=66 4-1=3)16777215=12th ditto, I deducted. (5) 1 2 3 4 4+4= 8 2, 4, 8, 16, 4th pow. of ra.; &16X16=256=8th do. 3, 9, 27, 81, 243-5th power of the ratio. 5 +5 and 243 243 = IO 59049 10th ditto. × 59049 3-1=2)3486784400 =20th do. 1 deducted 1743392200 X barley cor. in apt. 768,0 697356880,0 pints in a bushel=64) 908016 1 2 3 4 5 (7) =first term. rejecting, 25 6d. 14187 remainders. answer. 1773 7 6 5+5 = 10 3, 9, 27, 81, 243 and 243×243-59049=10th power of ratio. 10 + 10 = 20 Then, 59049 X 59049=3486784401=20th ditto. 1,00)2058911320946,48-30th do. I deduct. 4)2058911320946 qrs. 12)5147278302361 2,0) 4289398585,3 0 - L. 2144699292 13 of amount. 506. X 30yds. 1500 o o deduct. answer. 21446977892 13 of gained. SIMPLE INTEREST BY DECIMALS. EXAMPLES. A £. s. Princi. time. rati. interest . s. d. (2) 917 16=917,8X7X,05=321,23=321 4 7,2 answer. 6. s. Princi. ratio. commission £. s. d. (3) 391 17=391,85 which X,04517,63325—17 12 7,98 (4) 567% 10.=567,5 Principal. 9X,06,54 Time and ratio. £. S. 4.306,450=306 9 Interest. 4.873 19 amount. (5) 47261 18s 61d.=4726,92708. Princi. answer. ,245 time and ratio. Product. 1158,09713560-1158 1 11,3 Inter. (6) 95261. 125. 9d.=9526,6375=Principal. £. So d. ,8925 time and ratio. = Principal. 12,75 X,07 Product .8502,52397875-Interest. + 9526,6375 answer. 18029, 16147875-Amt. 18029/. 3s. 2 d. at 56-112 By the rule of three direc I at 43 43 + C.wt. (2) Thus; 2 |