Stocks The capital of any public company is called stock. The stock is usually divided into shares. The original value of one of the shares is called its par value. The par value is usually $100, $50, or $25. In the examples in this book the par value of a share is $100 unless otherwise stated. The sum for which a share can be sold at any particular time is called the market value of the stock. The dividend is a percentage of the par value paid yearly on the stock. As the dividend is always reckoned on the par value, it does not change with the fluctuating market value. A bond is a note, bearing interest, issued by a corporation or by the government. An agent who buys and sells stock for others is called a broker. His commission is called brokerage. 1. What is the cost of 40 shares of railroad stock at 95, if no brokerage is paid? 2. What is the cost of 35 shares of stock at 1061⁄2, without brokerage? 3. Find the cost of 20 shares of railroad stock at 871, including brokerage at 1%. The brokerage is reckoned upon the par value. 20 × (871 + 1) = $1752.50. 4. Find the cost of 75 shares of stock at 112ğ, including the usual brokerage of 1%. 5. Find the cost of a $1000 United States bond at 1041, including brokerage. 6. What would be the cost of eight $1000 bonds at 107, including brokerage? Stocks The following is the market quotation of stock of April 1. At above quotations, how much would 20 shares of Gen. Electric cost, including the brokerage of 1% ? Find the cost, including brokerage: 2. Of 12 shares of American Sugar. 4. Of 50 shares of Southern Pacific. 5. If I buy U.S. 3's at 150, what per cent of income shall I receive on the investment? I receive $3 on every $150. 10 = 2% Find the per cent of income, disregarding brokerage: 8. On U.S. 3's bought at 1093. 9. For $617.50, how many shares of Northern Pacific stock could I buy at the quotations, brokerage %? $61§ + $ } = $61, cost of one share; $617.50 ÷ $61 = 10, the number of shares. 10. How many shares of Gen. Electric could I buy for $1584 at quotations, with brokerage at %? 1 This means that one $ 100 United States bond yielding 4% interest, or dividend, can be bought in the market for $134. 2 This means that one $100 share of Missouri Pacific stock can be bought for $49. 11. How many strips of wall paper, 18 inches wide, will be required to paper the walls of a room 18 ft. long, 131 ft. wide? 12. How much will it cost to surround a lot 80 ft. long and 45 ft. wide, with a tight board fence 4 ft. high, if the boards cost $14.75 per M. ? 13. What will be the cost of a strip of land for a road 66 ft. wide and 2 miles long, at $30 an acre? 14. A rifle bullet is discharged in a horizontal direction from a cliff 256 feet above the level of the sea. It reaches the water at a point 4800 feet from the cliff. average velocity of the bullet? What is the See p. 23. How long does it take the bullet to fall 256 feet? 15. If the water of a river is moving at the rate of 6 miles an hour, how many feet is it moving a second? 16. If this water falls over a bluff 144 feet high, how many feet from the foot of the bluff will it strike the river bed again? Cylinders The volume of a cylinder, like the volume of a prism, is found by multiplying the area of one end by the altitude. 1. The area of the end or base of a cylinder is 27 sq. in. and its length 10 in. What is its volume? 2. Find the circumference of a cylinder whose diameter is 25 inches. 3. Find the area of one end of a cylinder whose diameter is 20 in. 4. Find the volume of a cylinder whose diameter is 36 in. and whose height is 4 ft. 5. How many cubic feet of water will be contained in a cylindrical standpipe 151 ft. in diameter and 30 ft. high? 6. How many cubic feet are there in a cylindrical watering cart 6 ft. in diameter and 12 ft. 6 in. long? 7. How long will it take to fill this cart, if the water runs through a hose at the rate of 200 cubic inches a second? 8. When the cart is filled, what will be the weight of the load of water? 9. How many cubic inches are there in a cylindrical bar of iron 6 in. in diameter and 10 ft. 4 in. long? 10. If the specific gravity of iron is 7.2, how much will the bar of iron weigh? Partnership 1. Divide the number 54 into 3 parts in the proportion of 2, 3, and 4. We are to take three fractional parts of 54, which shall be in the proportion of 2, 3, and 4. If we regard 54 as divided into 2+3+4, or 9 equal parts, the first of the three parts required will be 2 of these 9 parts, or of 54, or 12. The second part will be of 54, or 18; and the third part of 54, or 24. 2. If $25 is divided between two persons, so that one receives $2 as often as the other receives $3, how much does each receive? 3. Divide the number 84 into two parts in the proportion of 5 to 7. 4. Divide the number 100 into three parts in the proportion of 2, 3, and 5. 5. Divide the number 24 into two parts in the proportion of 30 to 50. 6. Divide $1000 into three parts in the proportion of 1, 3, and 6. 7. Divide $180 among three men in the proportion of 2, 3, and 4. 8. Divide $4000 among three persons in the proportion of 7, 13, and 20. 9. Two men engage in business, with an agreement that the profits shall be divided in the proportion of the amounts of capital invested. The first invests $3000 and the second $7000. The profits amount to $2000. What is each man's share? A 10. Three persons, A, B, and C, engage in business. invests $2000, B $3000, and C $4000. The gain is $3600. What is each man's share? |