EXERCISE 152 PROBLEMS WITHOUT NUMBERS 1. Given the principal, rate, and time, how do you find the interest? 2. Given the principal, rate, and interest, how do you find the time? 3. Given the principal, time, and interest, how do you find the rate? 4. Given the rate, time, and interest, how do you find the principal? 5. How do you find the amount of principal and interest? 6. Given the principal, rate, and time, how do you find the amount of principal and interest? 7. Given the amount of principal and interest, the time, and the principal, how do you find the rate? 8. Given the amount of principal and interest, the rate, and the principal, how do you find the time? 9. How do you find the day of maturity of a promissory note? 10. Given the date of a note, the day of maturity, the principal, and rate, how do you find the interest? 11. How do you find how long it will take any sum of money to double itself at a given rate of interest? 12. How do you find the rate of interest at which a given sum of money will double itself in a given time? 13. Given the face of a note, and its amount in a given number of years, how do you find the rate of interest? 14. Given the amount of a note for a given number of years, and the rate of interest, how do you find the face of the note? TABLES OF DENOMINATE NUMBERS Table of Length 12 inches (in.) = 1 foot (ft.) = mi. rd. 1 A. = sq. rd. yd. 1 5 1= ft. in. 1 = 12 = 3 = 36 198 63,360 161 = 5280 A hand (4 in.) is used in measuring the height of horses; a fathom (6 ft.) and cable length (120 fathoms) in measuring depths of water; a knot (nautical mile, 1.152 common or statute miles, or 6080.27 ft.) in measuring distances at sea. Carpenters, mechanics, and others usually write 2' 6" for 2 ft. 6 in. 144 square inches (sq. in.) Table of Square Measure = sq. ft. sq. yd. 1 = 9 = 2222 1 301 4840 = 2721 43,560 sq. mi. 1= 160 1= 640 = 102,400 = 3,097,600 = 27,878,400 293 = 1 square foot (sq. ft.) = 640 acres = 1 square mile (sq. mi.) sq. in. 144 1296 39,204 6,272,640 = 4,014,489,600 † = Table of Cubic Measure 1728 cubic inches (cu. in.) cu. yd. 1 = 16 ounces (oz.) 2000 pounds = = 1 cubic foot (cu. ft.) = A perch of stone or masonry is usually 1 rd. long, 1 ft. high, and 11⁄2 ft. thick, and contains 243 cu. ft., but this varies in different parts of the country. A cubic yard of earth is considered a load. T. 1 Table of Avoirdupois Weight 1 pound (lb.) 1 ton (T.) = gal. = lb. qt. =2000 100 lb. is sometimes called a hundredweight (cwt.). The ton of 2000 lb. is sometimes called the short ton, there being an old ton of 2240 lb., known as the long ton, which is used in some wholesale transactions in mining products. cu. in. 1728 46,656 = 1= 16 32,000 Oz. bbl. = 4 1 = 31 = 126 = 252 : gi. 4 8 32 1008 A gallon contains 231 cu. in. Casks holding from 28 gal. to 43 gal. are called barrels, and casks holding from 54 gal. to 63 gal. are called hogsheads. Whenever barrels or hogsheads are used as measures, a barrel means 311 gal., and a hogshead means 63 gal. A barrel contains about 4 cu. ft. t sq. mi. A bushel contains 2150.42 cu. in., or about 14 cu. ft. A dry quart contains 67.2 cu. in., while the liquid quart contains only 57.75 cu. in. In measuring grain, seeds, and small fruits the measure must be even full. In measuring apples, potatoes, and other large articles the measure must be heaping full. Table of Surveyors' Linear Measure 7.92 inches (in.) = 1 link (1.) 1 rod (rd.) 25 links = = = qt. pt. 8 = 16 32 = 64 A. sq. ch. 1 1= 10 1 = 640 6400 1. 1= 25 100 = 8000 = = = t = 1 acre (A.) 640 acres = square mile (sq. mi.) 1 square mile = 1 section (sec.) in. 7.92 198 792 63,360 Square Measure square chain (sq. ch.) sq. rd. 16 160 102,400 4 farthings 12 pence 20 shillings Angle Measure 60 seconds (") = 1 minute (') 60 minutes = 1 degree (°) 360 degrees 4 right angles = 1 day (da.) 1 week (wk.) Arc Measure 1 common year (yr.) 1 leap year = 1 minute (') 1 degree (°) United States Money 10 mills = 1 cent (ct. or ) 1 dime (d.) 10 cents 10 dimes 10 dollars 1 dollar ($) 1 eagle (E.) = The term eagle is not used. The mill is not coined, although the name is frequently used in speaking of fractional parts of a cent. English Money sec. 60 1 penny (d.) = 1 shilling (s. or /) 1 pound (£) or sovereign † |