90-day draft for $1, $1.00175-$.0155$.98625. Multiplying this by 840 gives $825.45, the cost of a draft for $840. This method is not so much shorter as to make it advisable to use it. 2. The discount = 1% of $400 of $400 50%. The interest for 33 da. = $400 × 18 = $2.20. Cost = $400 -$.50 $2.20 $397.30. Ans. $400= ̧3。 33 = NOTE. The word "interest" is used instead of bank discount," to avoid the confusion arising from the use of "discount" with two meanings in the same example. 5. The six remaining examples should be omitted by pupils that do not use algebraic methods of solution. Scholars that have readily worked the first four examples will find no great difficulty in solving 5-10 by means of the equation. The premium is $1 per $1000, or 0% of the face of the draft, x. The interest on x dollars for 63 da. at 6% Premium = x× 100 360 2000 Adding the premium to the face of the draft, and deducting the interest, gives x+ X 4000 This may be changed to 2000 $1.50; interest for (x+3) da. = 1200 × cost of the draft (with days of grace), 12000 x+3 2x 6 11979-2x Ans. 10 NOTE. Unless the pupil has studied algebraic subtraction in Chap. XV., he may make a mistake in deducting + 1001. 1. 15° × 3 = 50°. Ans. 2. (6115) hr. 4 hr. 4 hr. 4 min. Ans. = 1 hr.5 hr. London time=1 P.M. 4. 2 P.M. - 5 hr. 9 A.M. 5. Vienna is 5 hr. later = Ans. 1 hr. 1 hr. 40 min. Time at Vienna 40 min. after 1 P.M., or 20 min. to 2 P.M. Ans. = 6. 3 hr. 40 min. = 3 hr. Difference in longitude = 15° × 3 55°. Ans. 7. Difference in longitude = 75° + 30° 105°. Ans. 8. Philadelphia time is 105 hr. earlier, or 7 hr. 3 P.M.7 hr. 8 A.M. Ans. = 9. Correct Washington time is hr., or 8 min. earlier than standard time. 10. A town in 84° west longitude is 6° east of 90°, so that its correct time is hr., or 24 min., later. Time, 12:24 P.M. Ans. 1002. 1. Longitude difference=15° x 344. The pupil should see that 15×4 = 44 ÷ 4 = 11; so that 15° × 344 = 45° + 11° = 56°. Ans. 2. 15)37 hr. 18 min. 2 hr. 29 min. 12 sec. At 1 hr. to a degree, the difference in time would be 37 hr. 18 min.; as it requires 15° to make an hour's difference, dividing 37 hr. 18 min. by 15 gives the result. Shorter methods should be deferred for the present. Using multiplication to obtain the difference in degrees, and division to obtain the difference in time, is more easily understood by beginners. 3. Time difference of 87 hr. 35 min. earlier at Chicago, because it is west of Greenwich. Standard Chicago time is the 4. Vessel's time is 24 hr. earlier, showing that the vessel is 15° × 2, or 37° west of Greenwich. Ans. 37° 30'. 15° x 6. Time difference = 1 hr. Longitude difference 122°. The latter place, having the later time, is the more easterly; so that its longitude is 221° east of 11° east, or 33° 30' east. Ans. 7. 3 da. 12 hr. 17 min. 847 hr.; 3313.58417 = number of miles per hour. 15 25 × 15×x=23375; x = (23375÷25)÷1523375×2× =187-157. 12. Remainder, +4% 19 bu. 3 pk. 2 qt. 52% = 257 bu. 2 pk. 2 qt. Ans. 14. Number of degrees = (34 x 24) ÷ 48.96. 12 of 48% 84 cents $42.00 - $.84. 9. After taking, are left; when of the remainder is taken, of remainder are left, or of == 4 gal.; etc. 1004. 5. 12 men working 8 hr. daily build 90 rd. in 15 da.; 7 men working 10 hr. daily build 70 rd. in ? days. 15 da. x 12 × 8 × 70 90 × 7 × 10 9. 72 (in.) × 48 (in.) × x (in.) = 2150.4 (cu. in.) x 75. 16. x+(x+15) + (x + 15 +27) = 320. 17. .64 bu. 4 pk. x .64 2.56 pk.; .56 pk. = 8 qt. × .56 = 4.48 qt.; 3.64 bu. 3 bu. = = = pk. 2 pk. = 2 pk. 2 qt. + 1 bu. 3 pk. 6.52 qt. 18. Each step takes 7 in. + 10 in. 1005. Formerly, bills of exchange were issued to purchasers in sets of three bills, two of which were sent by different steamers to the foreign payee, who presented for payment or acceptance the one that reached him first. The third bill was retained by the purchaser, to be sent in case both of the others failed to reach their destination. At present, only two bills of a set are issued. The second will read as follows: Exchange for £180 17s. 6d. NEW YORK, Dec. 14, 1895. Sixty days after sight of this Second of Exchange (First unpaid) pay to the order of John W. Moran & Bro., One Hundred Eighty pounds sterling, seventeen shillings, six pence. Value received, and charge the same to account of To JAMES LENNON & Co., London. No. 39. } PETER COMERFORD & SON. 1. No deduction for interest is made for the 60 da., the quotation giving the price per pound for 60-day bills. The method given in the text-book is a form of the aliquot part method used in calculating interest. Cost of bill 191 × 21225.5 = $4138.97. Ans. = |