APPLICATION AND USE OF FRACTIONS. 139 6. A man had 6 lots of land, each containing How much did they all contain? Acres 46-5+185; ac.=. 37 acres. 7. Divide 1719 by 147. =Ans. 1,185 Ans. 8. Nine pieces of cloth contained 13642 yards, from which there had been sold 29,92%; what was the average quantity each piece contained of the remainder? 13—24,863=Ans. 9. What is the value of ,857 of a day? Ans. 20h. 34m. 4s. 10. What is the value of ,75 of a year? 11. Multiply 68 by 51. Ans. 273d. 18h. 93,844 x 4,001=Ans. 12. Divide 26 by 21. 70+7+,5 Ans. 13. If a pile of wood be 18 feet long, 11 wide, and 7 high; how many cords does it contain? 25 cords 8ft.+2+,25 Ans. NOTE. A cord of wood is 128 solid feet; the proportions commonly assigned are, 8 feet in length, 4 in breadth, and 4 in height. The contents of a pile of any dimensions may be found by multiplying the length, breadth, and height into each other. The last product divided by 128 will show the number of cords, the remainder, if any, will be so many solid feet. It is usual, however, to divide the cord into 8 parts, each part containing 16 cubic feet; thus we say, 8 feet instead of 1 cord-9 feet instead of 1 cord and 16 cubic feet. 14. In a floor 17 feet square; how many 153x2+25=Ans. square feet? 15. In a piece of land. 19 rods by 257, how many square rods? 613-102+,03125-Ans. 16. In a block of marble 47 feet long, 24 feet thick, and 2 feet wide, how many cubic feet and inches? 27,3 nearly. Ans. 17. In 22 hogsheads of wine; how many gallons? 2826-2 Ans. 18. Troy ? What is the value of 17 of a pound 19. What will 14 yards of cloth cost, at 2 20. A man dies, leaving an estate of 71600 dollars; there are demands against the estate of $39876,74; the residue is to be divided between What will each one receive? 7 sons. $13593+3+,894 Ans. 21. A man sells 1225 bushels of wheat, at 1 dollar and 33 cents per bushel, and receives 93 dollars and 76 cents for transportation. What does he receive in the whole ? $166×9+$229,01=Ans. 22. From one thousand dollars, subtract one mill. 23. A man bought of a lot of land containing 60 acres, and sold 39 acres. How much had he left? Acres 6,621÷3+,9=Ans. *All questions in Federal Money are wrought the same, precisely, as Decimal Fractions are. est? SIMPLE INTEREST. INTEREST is an allowance or compensation given by the bor What is Inter- rower to the lender for the use of money or any thing else obtained, agreed on by the parties. This compensation is established by law, at what is called 6 per cent: that is, 6 dollars for the use of 100 for 1 year. What compensation is allowed by law for the use of 100 dollars for 1 year? What is the principal ? Principal is the sum lent. What is the the use of 100 dollars or pounds rate? What is the amount? The interest and principal added together, is called the amount. Rule. There are various methods of casting Interest; but, perhaps no one method is best in all cases; therefore, What is the Rule 1. Multiply the prin first rule given by cipal by the rate, and divide the which to calculate interest? product by 100, or which is the same, cut off the two right hand figures; this will give the interest for one year. For more less than 1 year, or less than 1 year, make prowhat is to be done?portional allowance. For more or To what part of the principal is the interest equal to, at 6 per cent? The reason is, that at 6 per cent the interest is equal to Too of the principal, and the principal divided by 100 will give a quotient equal to Too of it, or 1 per cent; 2 per cent must be twice as much; 6 per cent must be six times as much; by multiplying first and dividing afterwards will prevent any trouble which would result from fractions left by dividing first. EXAMPLE. What is the interest of $2600 for 16 months, at 6 per cent? The principal Multiplied by the rate Four months more is $2600 6 one third as much)156,00 interest for 1 year. What is the 2d rule for casting interest? 52 interest for 4 months. $208,00 Ans. Int. for 16 months. Rule 2d. Multiply the principal by half the number of months, and divide the product by 100, or cut off the figures as in Rule 1st. The reason is, that the interest of money, at 6 per cent, is equal too of the principal for every two months; therefore, 6 months must be equal to 3 times of the principal, because 6 months is 3 times 2 months, and 12 months must be equal to 6 times EXAMPLE. What is the interest of $2600 dollars for 1 year and 4 months? The principal $2600 Multiplied by the months, 16 is: = 8 $208,00 Ans. What is rule 3d for casting interest? terest, by allowing a cent per month, for every dollar of the principal. The reason is evident, that if 100 dollars in 12 months would give 6 dollars, or 600 cents interest, that one dollar must give 6 cents, or 12 half cents for 12 months. 1. EXAMPLES. What is the interest of $2600 for 1 year and 4 months? $2600 at 1 cent per month, is 2600 cents-ata cent per month, is half as much, viz. 2600-÷2=1300 cents, or 13 dollars, interest for 1 month-16 months is 16 times as much. cents. 1300 16 7800 1300 $208,00 Ans. |