STOCKS AND BONDS. 1092. Slate Problems. Brokerage is calculated on the par value. The dividends are based on the par value. 1. Find the cost of 240 shares mining stock, par value $10, at 874, brokerage 1%. 2. Paid $11,460 for 120 shares R. R. stock, par value $100, brokerage %. What was the value of the stock per share? 3. Bought 150 shares canal stock at 874, brokerage 1%, paying for it $5,265. What is the par value per share? 4. How much brokerage is paid by the buyer of 275 shares bank stock, par value $100, brokerage %? 5. A broker sells for a customer 200 shares stock, par valne $25, at 102. If he retains 1% brokerage, how much does he pay over to the former owner of the stock? 6. A man buys 60 shares bank stock, par value $100, at 45, no brokerage. If the annual dividend is 18%, what is his income therefrom? What per cent does he receive on his investment? 7. A manufacturing corporation makes $20,000 a year over all expenses. The stock consists of 4,000 shares, par value $50. What rate of dividend can be declared? What per cent on his investment does a man receive who has bought his stock at 175, no brokerage? 8. A railroad company's stock consists of 10,000 shares, par value $100. Its profits for the year are $47,500, out of which must be paid the interest for the year on $200,000 worth of bonds, at 5%. What rate of dividend can be paid the stockholders? 9. A capitalist bought 360 shares stock, par value $25, at 168 He paid therefor, including brokerage, $15,176.25. What was the rate of brokerage? 10. A broker sold 250 shares, par value $100, at 107. He deducted brokerage, and paid over the proceeds, amounting to $26,875. Find the amount of the brokerage and the rate per cent. 11. A woman invests $35,050 in stock at 175, brokerage %. If the annual dividends are 71%, what is her income from the investment? 12. Mr. Tower pays $ 104 for a $100 five per cent bond. At the end of six years, the bond is redeemed at par. What rate of simple interest does he receive on his investment of $104? What is the square of .1? Of .3? Of.11? Of .12? 1096. How many decimal places in the first two answers? MEASUREMENTS. 1099. Slate Exercises. Find the missing side of each of the following ten right-angled triangles : 1. Base, 15; perpendicular, 8; hypotenuse, x. 2. Base, 35; perpendicular, x; hypotenuse, 37. 3. Base, x; perpendicular, 15; hypotenuse, 39. 4. Base, 20; perpendicular, 21; hypotenuse, x. 5. Base, x; perpendicular, 45; hypotenuse, 53. 6. Base, 56; perpendicular, x; hypotenuse, 65. 7. Base, 55; perpendicular, 48; hypotenuse, x. 8. Base, x; perpendicular, 14; hypotenuse, 50. 9. Base, 63; perpendicular, x; hypotenuse, 65. 10. Base, 112; perpendicular, 15; hypotenuse, x. 1100. Slate Problems. 11. One parallel side of a trapezoid measures 160 yd., the other measures 200 yd., the area is 32,400 sq. yd. Find the perpendicular. 12. One parallel side of a trapezoid is 20 rods, the perpendicular is 15 rods, the area is 225 sq. rods. Find the length of the other parallel side. 13. One parallel side of a trapezoid measures x rods, the other measures x + 6 rods, the perpendicular is 10 rods, the area is 150 sq. rods. Find the length of the parallel sides. 14. Find the area in acres of a right-angled triangle, the length of the sides being 24 rods, 7 rods, 25 rods. 15. A court yard 84 ft. by 36 ft. is to be paved with flagstones measuring 6 ft. by 3 ft. How many stones will be needed? What will be the cost of the work at $1.25 per sq. yd.? 16. How many rods of fence will be needed to enclose the field shown in the NOTE. A right angle contains 90 degrees. 17. Find the length of the fourth side of the following piece of ground. How many yards of fence are needed to enclose it? How many acres does it contain? 40 rd. 12 chains. 90 200 16 chains. 70 rd. 100 rd. 18. What is the length of the diagonal of a rectangular field 90 yd. wide, 120 yd. long? 19. The dotted line in the accompanying diagram indicates a path through the field. How many yards are saved by taking the path instead of following the road? 27 chains. 36 chains. Road. Road. 20. Find the length (in rods and a decimal) of the diagonal of a square 40-acre field. REVIEW. 1101. Oral Problems. To the following ten problems the wrong answers are very frequently given. 1. Sold a horse for $250, losing $50. What is the loss per cent? 2. If 3 boys solve 3 problems in 3 minutes, how long will it take 6 boys to solve 6 problems? 3. Two boys go fishing; one brings 7 cakes for lunch, the other brings 5 cakes. A third boy joins them at noon, and pays 12 for his share of the dinner. How should the first two divide the money received? 4. If 100 per cent is gained by selling an article for $1, how much would be gained by selling it for $2? 5. A boy had a slate 5 inches by 7 inches. He buys one twice as large. Give the dimensions of the new slate. 6. A man wishes to put up on the front of his lot a fence 30 feet long. If the posts are 6 feet apart, how much will they cost at 25 each? 7. One-half the money received by a newsboy is profit. What per cent does he make? 8. 50 per cent of a number multiplied by 30 per cent of the same number equals 60. What is the number? 9. Three-fourths per cent of a number is 90. What is the number? 10. An importer receives some cases of goods numbered consecutively. How many cases are there, if the number of the first is 28, and of the last 75? 1102. Slate Problems. 1. If a bar of silver weighing 2 lb. 3 oz. 6 pwt. is worth £6 13s. 7d., what is the value in English money of a similar bar weighing 15 lb. 7 oz. 4 pwt.? 2. A quantity of provisions would last a ship's crew 20 days, allowing each man 2 lb. 4 oz. daily. What should each man be allowed so as to make the provisions last 4 days longer? 3. If 40 men are able to do a piece of work in 10 hours, how many extra men must be employed to finish it in 8 hours? 4. If it requires 40 yd. carpet 2 ft. 9 in. wide to cover a floor, how many yards of carpet 2 ft. 6 in. wide would be needed? 5. How long will it take a train to go 112 miles, at the rate of 46 miles in 1 hour 20 min. 30 sec.? 6. Change 1,759 yards to rods, yards, etc. |