bill, he presents it to

They agree to pay the

When Mr. Mette receives this Francolini Frères for acceptance. bill when due by writing across the face in red ink the word "Accepted," with the date, say, "Aug. 11, 1916." Sixty days after Aug. 11, the bill is payable upon presentation.

The prices of exchange are given in the papers in the following form, the rates varying from time to time :

These figures mean that a sight bill on a place in Great Britain costs $4.86 per £, and a 60-day bill $4.84.

The rate for French money means that $1 will purchase a sight bill for 5.17 francs, or a 60-day bill for 5.20 francs.

The rate for German money means that 95 cents is the cost of 4 marks in a sight bill and 94 cents in a 60-day bill.

Written Exercises

1. Find the cost of a sight bill for £534 7s. 6d. at $4.86 per £.

2. How much is paid for a 60-day bill on Marseilles for 5000 fr. at the rate of 5 fr. 20 for $1?

3. A bill for 1876

4 marks for 941 cents.

$(5000+ 5.2)

marks is bought at the rate of

How much did it cost?

4. How many francs will cost $2500 at the rate of

5.17 francs to the dollar?

Use of Drafts in Collecting Money

To insure prompt payment, the Wainscott Manufacturing Co. "draws upon its customers as their bills fall due.

The bill of Henry Jenkins of Hightown, N. D., for $448.75 is due May 6, 1915. The Wainscott Manufacturing Co. makes out the following draft :

MINNEAPOLIS, MINN., May, 19/5

At three days' sight pay to the order of

THE MANUFACTURERS' BANK

This draft is deposited "for collection" in the Manufacturers' Bank, in which the Wainscott Manufacturing Company keeps its account. This bank sends it to the First National Bank of Hightown, which it reaches May 3. A messenger from this bank presents it for acceptance to Henry Jenkins, who writes across its face "Accepted, May 3, 1915," and appends his signature. If he keeps an account in the First National Bank, the latter "charges" it with $448.75, and mails the Manufacturers' Bank a cashier's check for the amount.

By this method the Wainscott Manufacturing Company obtains the money by May 8, since Mr. Jenkins would not like to injure his credit with his home bank by refusing to "accept" the draft.

SECTION XIII

PRACTICAL USES OF POWERS AND ROOTS

Squares and Square Roots

Preparatory Exercises

1. The front of a shed is 5 feet higher than the back. The shed is 12 feet deep. How long is the roof?

Draw ABC on a scale of 4 inches to the foot. Make CB 3 inches long. At C erect a perpendicular CA, 1 inches. Measure AB.

2. MNO is the upper part of the front of a tent. is 6 feet. NX measures 4 feet.

Draw a line XO, 3 inches long. pendicular XN, 4 inches long. and measure its length.

How long is NO?

At X erect a per

Draw the line NO,

The triangles ACB and NXO are right triangles. The angles at C and X are right angles. The side AB or XO, opposite the

мо

right angle, is the hypotenuse. One of the remaining sides of a right triangle is the base, and the other the perpendicular.

In the right triangle ABC, it will be found that (13 × 13)=(12 × 12) + (5 × 5); that is, 169 = 144 + 25. 13 x 13 is written 132: it is read 13 "square." 5 x 5 is written 52; 12 x 12 is written 122.

Hypotenuse2 = Base2+ Perpendicular2

Sight Problems

1. How many square rods are there in a plot of ground 8 rods long 8 rods wide?

2. A piece of ground 12 rods long 12 rods wide is said. to be 12 rods square. How many square rods are there in a piece of ground 12 rods square?

3. How many square inches are there in each of the six equal square faces of a cubical box whose edge measures 3 inches?

5. How many square rods are there in a 10-acre field? 6. How many rods are there in each side of a square field (a) containing 1600 sq. rd.? (b) Containing 10 A.?

7. How many inches long is each side of a square piece of paper that contains (a) 16 sq. in.? (b) 36 sq. in.? (c) 100 sq. in. ?

8. What are the two equal factors (a) of 49? (b) Of 25? (c) Of 81? (d) Of 121?

To indicate that one of the two equal factors of a num

ber is required, the sign is used.

Thus, √819 is read "The square root of 81 is 9."

1. Give answers:

Sight Exercises

a. √4=? b. √36? c. √144? d.

e. √9? f. √64? g. √169? h.

=

i. VI? j. √49? k. √121=?

=

√2500= ?

√3600 = ?

l. √8100=?

Architects, surveyors, mechanics, and other business people use tables to ascertain the squares and the square roots of numbers. The following table gives the squares and the square roots of numbers to 60.