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1. What will 112 dollars amount to in 4 years, at 6

per cento compound interest? 5 per cento is equal to 112.00 1 per cent. is equal to 4 of 5. 1 5.60

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5 per cent. is equal to

20133:393 3d amount.

per cent, is equal to 4 of 5:1 63831 } 4thyrs.in.

Amount, $141.395 Ans.

2. What is the amount of $2.12 cents for 4 years, at 12 per cent. per annum ?

Ans. $3.337 3. What is the compound interest of $33.33 cents 2 years, at 10 per cent..?

4. What is the amount of $6.66 cents 2 years, at 9

per cent. per annum ?

Ans. $6.99.97

Ans: $7.91.21

The third and easiest method is by the help of tables, shen

ing the amount of one dollar for any nnmber of
years under 30, at 6 per cent. compound interest.

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yrs. amt.

yrs.
amt.
yrs.

amt.
1. $1.0600 11 $1.89829- 21 $3.39956
2 1.12360 12 2.01219 22 3.60353
3 1.19101 13 2.13292 23 3.81975
4 1.26247 14 2.26090 24 4.04893
5 1.33822 | 15 2.39655 | 25 4.29187
6 1.41852 | 16 2.54035 26 4.54938
7 1.50363 | 17 2.69277 | 27 4.82234
8 1.59384 18 2:85434 28 5.11168
9 1.68948 19 3.02559 | 29 5.41838
10 1.79084 20 3:20713 | 30 5.74349

Use of the preceding Table. In the table find the amount of one dollar for the gixen time, and multiply the given principal by the amount of one dollar, the product is the answer.

Examples. 1. What will 50 dollars amount to in 6 years, at 6 per cent. compound interest?

$1 in 6 yrs. amounts to $1.41852x50=870.926 Ans.

2. What will 505 dollars amount to in 5 years, at 6 per cent. compound interest ?

8675.8017 Ans. 3. What will 8222:22 amount to in four years, at 6 per cent. compound interest?

Ans. $280.5467

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SINGLE FELLOWSHIP. DEFINITION.--Single Fellowship teaches to find the gain or loss of each, of several persons, who have joined their stocks for an equal time in trade,

RULE.--As the sum of all their stocks is to the sum of gain or loss, so is each man's particular stock, to his particular share of the gain or loss..

Proof. Add the several shares of gain or loss together, if the work is right, the sum will be equal to the sum of gain, or loss.

*Examples

1. A. B. C. and D. joined their stocks, and bought
367 barrels of beef which they sold at $2.75 advance
upon the barrel; A.'s stock was 562 doliars ; B.'s 646
dollars; C.'s 394 dollars ;; and D.'s 600 dollars : I de-
mand the share of each?
367 bar. at $2:75 cents = $1009•25 gained.

8562 A.'s stock.
646 B.'s do.
394 C.'s do.
600 D.'s do.
dols. Its.

dols, dols. cts.
As 2202 : 1009-25 :: 562 : 257.587159

8,734 A.'s share. 2202 : 1009.25 :: 646 : 296'08726*2

7 34 B.'s 2202 : 1009:25 : ; 394 : 180°58,

7 34 Ci's 2202 : 1009:25 :: 600 : 275.00 : Di's

1009-25 proof.

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2. Three

men built a ship which cost 4560 dollars : of her belonged to A. : 3 to B. : and the remainder to C. : they agreed to freight her with

a cargo of lumber worth 1270 dollars, in proportion to their shares ; and send her to the W. I. She was lost; I demand the loss of each. Ans. A.lost $1457.5: B.lost $2332: C.lost 82040-5

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DOUBLE FELLOWSHIP. DEFINITION.=Double Fellowship teaches to find the shares of gain, or loss of several, persons, who have joined their stocks in trade for unequal times."

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Rule. Multiply each man's stock by the time it was in trade; then say, as the sum of the products is to the gain or loss, so is the product of each man's stock and time, to his share of the gain or loss.

.. Examples. 1. A. commenced trade with a capital of 500 dollars ; in 1 month after, he received B. as a partner, with a capital of 450 dollars ; in three month's after this they received C. with a capital of 900 dollars ; they traded 4 years from the time that A. commenced business, and gained 3420 dollars i I demand the gain of each?

stock. mo, A.'s stock multiplied by the time 500 X 48324000 A.'s

Bi's stock multiplied by the time 450x47321150 B's Ci's stock multiplied by the time 900 X 4439600 C.'s.

amt.

total amount 84750. dols.

dols. ct 84750 : 3420 :: 24000 : 968.4997 A.'s share. 84750 : 3420 : : 21150 : 853.4857273 B.'s 84750 : 3420 :: 39600 : 1598.01.2010 C.'s

2. A. began trade with a capital of 1300 dollars į he traded 9 months and died : B. offered the family to continue the business, if they would allow his time to be equal to A.'s stock ; and divide the gaia accordingly; it was so agreed, and he continued business 1 year and three months from the death of A.; I demand the share of each, allowing the gain to have been 392 dollars.

A.'s capital 1300 dollars, and in trade 2 years. B.'s time valued 81300, and in trade, 1 year and 3 months. The heirs of A. had $241.237

B. 8150-7635 43: Ans. 3. B. and D.joined stocks, viz. 500 dollars each ; they traded 2 years, and B. took out one fifth of his stock, and they continued their trade 3 years longer, and gained 627 dollars ; what is the share of each? Ans. B.'s $293.4844 D.'s $333.512

39
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DEFINITION.-Practice is a rule which teaches to solve such questions by division, as are solved by compound multiplication, or single rule of three'; it is not so useful in the present currency of the United States as it was in the former currrency ; : but in many instances, it is stilt a short and easy way of finding the price of several things.

to dol.

Table of aliquot parts of a Dollar.
1 cent is tõo dol. | 10 cents is
2 is so 20 is =
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50
75

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Tables of aliquot parts of a Cwt. & gr.
cwt. 7 16.

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14

CASE I.
When the price is cents and the quantity whole numbers,

Rule.-Write down the quantity, as so many dollars, see what parts, the cents in the price, are of a dollar, divide by that part, and the quotient is the answer.

Ecamples.
1. What will 622 yards of India cotton come to, at 25

dols.
25 cis, =

$)622

cts. per yd. ?

$155.50 Ans.

Note. The quantity being written down as so many dols. I considered that 25 cts, were equal to 4 of a dollar,

therefore I of the quantity is the answer,

2. What is the price of 3472 oranges at 5. cents a piece?

Ans. $173.60

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