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Required the interest of 316 dollars for 1 year and O months.
11half the number of
Ans. 3476cts=$34, 76cts. 2. What is the interest of 364 dois. 25 cts. for 4 months ?
cts. 364, 25
2 half the months,
Ans. 728, 50cts. =87, 28cts. 5m.
Jil. 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 ,c3 and the product will be the interest for one month, in shillings and deci. mal parts of a shilling.
EXAMPLES. 1. What is the interest of 325 dols. for 11 months ?
9,75 shil. in for 1 month x11 months.
Ang. 107,258.£5 78. 3d. 2. What is the interest in New-England currency, of S1 dols, 68 cts. for 5 months ?
Principal 31,68 dols.
,9504 Interest for one month.
Ans. 4,75208-48. 9d.
IV. When the principal is given in pounds, shillinge, &c. New-England currency, at 6 per cent. to find hos niuch the monthly interest will be in Federal Money.
RULE. Multiply the pounds, &c. by 5, and divide that pro duct by 3, the quotient will be the irterest for oro month, in cents, and deciaals of a cent, &c.
1. A note for £411 New-England currency has been on interest one month; how much is the interest thereaf in Federal Money? .
Ans. 655cls.= $6, 85cts. 2. Required the interest of 391. 185. N. E. currency for 7 months ?
Interest for 1 mo. 66,5 cents.
Ditto for 7 months, 465,5cts.=$4 65cls. 5m. Ans,
V. When the principal is given in New-England and Virginia currency, at 6 per cent to find the interest for a year, in dollars, cents and wills, by inspection.
RULE. Since the interest of a year will be just so many cents as the given principal contains shillings, therefore, write down the shillings and call them cents, and the pence in the principal made less by 1 if they exceed 3, or by 2 when they exceed 9, will be the mills, very nearly.
1. What is the interest of 21. 55. for a year at 6 per ct. ?"
£2 55.=458. Lusterest 45cts. The Answer. 2. Required the interest of 1001. for a year at 6 per ct. ?
£100=2000s. Inicrest 2000 ci3.=$20. Ans. 3. O: 27s, 6:1. for a year ?
Ans. 274. i3 27 cls. and 6d. is 5 mills. 4. Required the interest of 51. 10. 11d. for a year?
£5 10s.=110s. Interest 110cls=$1, 10cts. Om. 11 pence-2 per rule icaves I
VI. To compite the interest on any note or obligation, when there are payments in part, or i.dorsements.
RULE. 1. Find the amount of the whole priucipal 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 several 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.
Third payment, 99 dols. Jan. 2, 1798. I demand how much remains due on said note, the 17ih of June, 1998 ?
36, 50 interest up to June 17, 1798.34 l; 184, 50 amount
341, 00 second payment, Aug. 17, 1796. Y:. mo. 37, 51 luterest to
June 17, 1798 51 10.
879, 51 amount.
884, 25 amount of the note. 664, 73 amount of payments. $219, 52 remains due on the note, June 17, 1798.
2. On the 16th of January, 1705, I lent James Payo well 500 dollars, on interest at 6 per cent. which I receive ed back in the following partial payments, as under, viz. 1st of April, 1796
$ 50 16th of July, 1797
400 1st of Sept. 1798 How stands the balance between us, on the 16th No. vember, 1800 ?
Ans. due to me $63, 18cts. 3. A. PROMISSORY NOTE, viz. £62 10s. Nero-London, April 4, 1797. On demand I promise to pay Timothy Careful, sixty two rounds, ten shillings, and interest at 6 per cent. per annum, till paid ; value received. John STANBY,
PETER PAYWELL. RICHARD TESTI8. Indorsements.
£. 3 1st. Received in part of the above note, September 4, 1799.
50 0 And payment June 4, 1800,
12 10 How much remains due on said note, the fourth day of December, 1800?
Ana 19 6
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 hove given il a place : il may answer for short periods of time, but in a long course of years, it will be found to be very erroneous,
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 inost 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, and takes his note of hand; B does no more than pay A at every year's end 6 dollars, (wnich 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 noie, and the sum he has to pay is reckoned thus : The principal, 100 dol. lars, on interest 10 years amounts to 160 dollars ; there are nine endorsements of 6 dollars each, upon which the debtor claims interest ; one for nine years, the second for 8 years, the third for my years, and so down to the time of settlement; the whole amount of the several endorsements and their interests, (as any one can see by casting it) is $70, 20 cts. this subtracted from 160 dols. the amount of the debt, leaves in favour of the creditor, $89, 40 cts. or $10, 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 Interest by decimals, page 175.