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1. Required the interest of 316 dollars for 1 year and 10 months.
11zhalf the number of mq.
Ans. 3476cts.=834, 76cts. 2. What is the interest of 364 dols. 25cts. for 4 months ?
$ cts. S64, 25
2 half the monthş.
728, 50cts. Ans.=87, 28cts. 5m. III. When the principal is given in federal money, at 6
per cent. to find how much the monthly interest will be in New-England, &c. currency.
RULE. Multiply the given principal by ,08 and the product will be the interest for one month, in shillings and decimal parts of a shilling.
1. What is the interest of 325 dols. for 11 months ?
9,75 shil. int. for 1 month
2. What is the interest in New-England currency,
Ans. 107,258.=65.75. 8d. 31 dols. 68 cts. for 5 months ?
Principal 31,68 dols.
IV. When the principal is given in pounds, shillings, ic. New-England currency, at 6 per cent. to find how auch the monthly interest will be in federal money.
RULE. Multiply the pounds, &c, by 5, and divide that prouct by 3, the quotient will be the interest for one inunth, i cents, and decimals of a cent, &c.
1. A note for £ 411 New-England currency has been n interest one nionth; how much is the interest thereof federal money! £
Ans. 635cts.=86, 85cts. 9. Required the interest of 391. 185. N. E. currency; 1 7 months
$9,9 decimal value.
Ditto for 7 months, 465,5cis.=S4, 65cts. 5m. Ans. v. When the principal is given in New-England and zginia currency,
at 6 per cent. to find the interest for ear, in dollars, cents and mills, by inspection.
RULE, Since the interest of a year will be just so many cents the given principal contains shillings, therefore, write vn the shillings and call thein cents, and the pence in - principal made-less by 1 if they exceed 3, or by % en they exceed 9, will be the mills, very nearly:
EXAMPLE 1 What is the interest of 21. 5s. for a year at 6 per ct.P
£2 58. =45s. Interest 45ets. the Answer. 2. Required the interest of 1001. for a year at 6 per ct.?
£100=2000s. Interest 2000cts.=820 Ans. 3. Of 275. 6d. for a year?
Ans. 27 s. is 27 cts. and 6d. is 5 mills. 4. Required the interest of 5l. 10s. 11d. for a year ?
£5 10s.=110s. Interest 110cts.=$1,, 10cts. Om. 11 pencema2 per rule leaves 9.
VI. To compute the interest on any note or obligation, when there are payments in part, or indorsements.
RULE... 1. Find the amount of the whole principal for the whole time.
2. Cast the interest on the several payments, from the time they were paid, to the time of settlement, and find their amount; and lastly deduct the amount of the seves ral payments, from the amount of the principal.
Suppose a bond or note dated April 17, 1793, was given for 675 dollars, interest at 6 per cent, and there were payments indorsed upon it as follows, viz. First payment, 148 dollars, May 7, 1794. Second payment, 541 dols. August 17, 1796. Third payment, 99 dols. Jan. 2, 1798. I demand hov much remains due on said note, the 17th of June, 1798 ?
184, 50 amount.
341, 00 second payment, Aug. 17, 1796. Yr. mo. 37, 51 Interest to June 17. 1798. = 10
$78, 51 amount.
675, 00 note, dated April 17, 1793.
884, 25 amount of the note.
8219, 52 remains due on the note, June 17, 1798.
2. On the 16th of January, 1795, I lent James Paywell 500 dollars, on interest at 6 per cent. which I received back in the following partial payments, as under, viz.
1st of April, 1796
60 How stands the balance between us, on the 16th November, 1800 ?
Ans. due to me $63, 18cts.
New-London, April 4, 1797.
500 And payment June 4, 1800,
12 10 How much remains due on said note. the fourth day of December, 1800 ?
£ s. d.
NOTE.-The preceding Rule, by custom is rendered so popular, and so much practised and esteemed by many on account of its being simple and concise, that I have given it & pluce: it may ansu er for short periods of time, but in a long course of years, it will be found to be very errone
Although this method seems at first view to be upon the ground of simple interest, yet upon a little attention the Following objection will be found most clearly to lie against it, viz. that the interest will, in a course of years, completely expunge, or as it may be said, eat up the debt. For an explanation of this, take the following
A lends B 100 dollars, at 6 per cent. interest, ani! takes his note of hand; B does no more than pay A at every year's end 6 dollars, (which is then justly due to B for the use of his money) and has it endorsed on his note. At the end of 10 years B takes up
his note, anıl the sum he has to pay is reconed thus : The principal 100 dollars, on interest 10 years amounts to 160 dollars ; there are nine endorsements of 6 dollars each, upon which the debtor claims interest; one for 9 years, the second for 8 years, the third for 7 years, and so down to the time of settlement; the whole amount of the several endorsements and their interests, (as any one may see by casting it) is $70, 20 cts. this subtracted from 160 dols. the amount of the debt, leaves in favor of the creditor, $89,40 cts. or 810, 20 cts. less than the original principal, of which he has not received a cent, but only its annual interest.
If the same note should lie 20 years in the same way B would owe but 37 dols. 60 cts, without paying the least fraction of the 100 dollars borrowed.
Extend it to 28 years, and A the creditor would fall in debt to B, without receiving a cent of the 100 dollars which he lent him. See a better Rule in Simple luterest by decimals, page 175.