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5. Bought goods amounting to 615 dols. 75 cents, at 7 months credit; how much ready money must 1 pay, discount at 41 per cent. per annum ? Ans. $600.

6. What sum of ready money must be received for a bill of 900 dollars, due 73 days hence, discount at 6 per cent. per annum ? Ans. $889, 32 cts. Sm.

Note.—When sundry sums are to be paid at different times, find the Rebate or present worth of each particular payment separately, and when so found, add them into one ------

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7. What is the discount of 7561, the one half payable in six months, and the other half in six months after that, at 7 per cent.” Ans. C37 10s. 21d.

S. If a legacy is left me of 2000 dollars, of which 500 dols, are payable in 6 months, 800 dols, payable in 1 year, and the rest at the end of 3 years; how much ready morey ought I to receive for said legacy, allowing 6 per cent. discount? Ans. $1833, 37 cits. 4 m.

ANNUITIES. AN Annuity is a sum of money, payable every year, or for a certain number of years, or for ever. When the debtor keeps the annuity in his own hands beyond the time of payment, it is said to be in arrears. The sum of all the annuities for the time they have been foreborne, together with the interest due on each, is called the amount. If an annuity is bought off, or paid all at once at the beginning of the first year, the price which is paid for it is called the present worth. To find the amount of an annuity at simple interest. Rule.-1. Find the interest of the given annuity for 1 year. 2. And then for 2, 3, &c. years, up to the given time, less 1. 3. Multiply the annuity by the number of years given, and addthe product to the whole interest, and the sum will be the amrust sought.

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1S finding the equated time to pay at once, several debts nue at different periods of time, so that no loss shall be sustained by either party.

Rule.—Multiply each payment by its time, and divide the sum of the several products by the whole debt, and the quotient will be the equated time for the payment of the whole.

Exami-LEs.

1. A owes B 380 dollars, to be paid as follows—viz. 100 dollars in 6 months, 120 dollars in 7 months, and 160 dollars in 10 months: What is the equated time for the pay. ment of the whole debt?

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2. A merchant hath owing him 300l. to be paid as fol lows: 50l. at 2 months, 100l. at 5 months, and the rest ta 8 months; and it is agreed to make one payment of the whole: I demand the equated time? Ans, 6 months.

3. F owes H 1000 dollars, whereof 200 dollars is to be paid present, 400 dollars at 5 months, and the rest at 15 months, but they agree to make one payment of the whole; I demand when that time must be? Ans. S months.

4. A merchant has due to him a certain sum of money, to be paid one sixth at 2 months, one third at 3 months, and the rest at 6 months; what is the equated time for the payment of the whole 1 Ans. 41 months.

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BARTER,

1S the exchanging of one commodity for another, and directs merchants and traders how to make the exchange without loss to either party.

Rule:-Find the value of the commodity whose quantity is given; then find what quantity of the other at the proposed rate can be *ght for the same money, and it gives the answer.

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1. What quantity of flax at 9 cts. per b. must be given in barter for 12 lb. of indigo, at 2 dols. 19 cents per lb. ? 12 lb. of indigo at 2 dols. 19 cts. per lb. comes to 26 dols. 28 cts.-therefore, As 9 cts. : 1 lb.: ; 26.28 cts. : 292 the answer. 2. How much wheat at I dol. 25 cts, a bushel, must be given in barter for 50 bushes of rye, at 70 cts a bushelt Ans. 28 bushels. 3. How much rice at 28s, per cwt. must be bartered for 3 cwt. of raisins, at 5d. per lb. ? Ans. 5 cwt. 3 qrs. 9113th. 4. How much tea at 4s. 0d. per lb. must be given in barter for 78 gallons of brandy, at los. 3}d. per gallon 1 Ans. 201 lb. 133102. 5. A and B bartered: A Joud 8 cwt. of sugar at 12 cts. per lb. for which 3 gave him (S. cwt. of flour; what was he flour rated a per lb. Ans. 54 cts. G. B. delivered 3 hlids of brandy, at 6s. 8d. per gallon, to C, for 126 yds of cloth, what was the cloth per yard? Ans. 10s. 7. D gives E 250 yards of drugget, at 30 cts. per yd. oor 319 lbs. of pepper; what does the pepper stand him in per lb. ? Ans. 23 cts. 5,'om. 8. A and B bartered: A had 41 cwt. of rice, at 21s. per cwt. for which B gave him 201 in money, and the rest in sugar at 8d. per lb., I demand how much sugar B gave A besides the 201.7 Ans. 6 cwt. 0 qrs. 1941b. 9. Two farmers bartered: A had 120 bushels of wheat at 11 dols, per bushel, for which B gave him 100 bushels of barley, worth 65 cts, per bushel, and the balance in oats at 40 cts. per bushel; what quantity of oats did A receive from ot Ans. 287 bushels. 10. A hath linen cloth worth 200. en ell ready money; but in barter he will have 2s. B hath broadcloth worth 14s. 5d. per yard ready money; at what price ought B to rate his broadcloth in barter, so as to be equivalent to A's bartering price? Ams. 17s. 4d. 3 ors.

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