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4. If 1,4 cwt. of sugar cost 10 dols. 9 cts. what will 9 cwt. 3 qrs. cost at the same rate?

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As 1,4

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10,09:: 9,75: 70,269 $70, 26cts. 9m.+ 5. If 19 yards cost 25,75 dols. what will 435 yards come to ? Ans. $590, 21cts.7m 6. If 345 yards of tape cost 5 dols. 17 cents, 5m. what will one yard cost? Ans. ,015-11⁄2cts 7. If a man lay out 121 dols. 23 cts. in merchandise, and thereby gains 39,51 dols. how much will he gain in laying out 12 dollars at the same rate ?

Ans. 3,91 dols.=$3,91cts. 8. How many yards of riband can I buy for 251 dols. if 29 yds. cost 41 dollars? Ans. 178 yards. 9. If 178 yds. cost 25 dollars, what cost 293 yards?

Ans. $41 10. If 1,6 cwt. of sugar cost 12 dols. 12 cts. what cost 3 hhds. each 11 cwt. 3 qrs. 10,12 lb. ?

Ans. 269, 072 dols.=$269, 7cts. 2m+

SIMPLE INTEREST BY DECIMALS.
A TABLE OF RATIOS.

Ratio. | Rate per cent. | Ratio.

Rate

per cent.

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Ratio is the simple interest of 17. for one year; or in fede. ral money, of $1 for one year, at the rate per cent. agreed

on.

RULE.

Multiply the Principal, Ratio and time continually together, and the last product will be the interest required.

EXAMPLES.

1. Required the interest of 211 dois. 45 cts. for 5 years, 5 per cent. per annum ?

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$cts.

211,45 Principal
,05 Ratio.

10,5725 Interest for one year.
5 Multiply by the time.

52,8625 Ans. $52, 86cts. 24m.

2. What is the interest of 6457. 10s. for 3 years, at per cent. per annum ?

£615,5X06x3=116,190£116 3s. 9d. 2,4qrs. Ans. 3. What is the interest of 1217. 8s. 6d. for years, a 6 per cent, per annum ? Ans. £32 15s. 8d. 1,36qrs. 4. What is the amount of 536 dollars 39 cents, for 1. years at 6 per cent. per annum?

Ans. $584,6651.

5. Required the amount of 648 dols. 50 cts. for 123 yrs at 5 per cent. per annum? Ans. $1103, 26cts.

CASE II.

The amount, time and ratio given, to find the principal.

RULE.

Multiply the ratio by the time, add uuity to the produc for a divisor, by which sum divide the amount, and the quotient will be the principal.

EXAMPLES.

1. What principal will amount to 1235,975 dollars, in 5 years, at 6 per cent. per annum? $

,06×5+1=1,30, 1235,975(950,75 Ans. 2. What principal will amount to 8731. 19s. in 9 years, at C per cent. per annum ? Ans. £567 10s. 3. What principal will amount to 626 dols. 6 cts. in 12 years, at 7 per cent ? Ans. $340,25=$340,25cts. 4. What principal will amount to 9567. 10s. 4,125d. in 84 years, at 5 per cent. ? Ans. £645 15s.

CASE III.

The amount, principal and time given, to find the ratio. RULE.Subtract the principal from the amount, dr vide the remainder by the product of the time and principal, and the quotient will be the ratio.

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EXAMPLES.

At what rate per cent. will 950,75 dols, amount to .75 dols. in 5 years ?

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Take the principal = 950,75

950,75×5=4753,75)285,2250(,06-6 per cent.

285,2256

Ans.

2. At what rate per cent. will 5677. 10s. amount to 3737. 19s. in 9 years? Ans. 6 per cent. 3. At what rate per cent. will 340 dols. 25 cis. amount to 626 dols. 6 cts. in 12 years?

Ans. 7 per cent.

4. At what rate per cent. will 6457. 15s. amount to 9567. 10s. 4,125d. in 83 years?

CASE IV.

Ans. 51 per cent.

The amount, principal, and rate per cent. given, to find

the time.

RULE.

Subtract the principal from the amount; divide the remainder by the product of the ratio and principal; and the quotient will be the time.

EXAMPLES.

1. In what time will 950 dols. 75 cts. amount to 1235 dollars, 97,5 cents, at 6 per cent. per annum ?

From the amount

$1235,975

Take the principal

950,75

285,2250

950,75X06-57,0450)285,2250(5 years,

Ans.

2. In what time will 5677. 10s. amount to 8737. 19s

at 6 per cent. per annum ?

3. In what time will 340 dols. 25 cts.

dols. 6 cts. at 7 per cent. per annum ?

Ans. 9 years.

amount to 626 Ans. 12 years.

4. In what time will 6457. 15s. amount to 9567. 10s. 4,125d. at 5 per ct. per annum? Ans. 8,75=83 years.

444

TO CALCULATE INTEREST FOR DAYS.

RULE.

Multiply the principal by the given number of days, and that product by the ratio; divide the last product by 365 (the number of days in a year) and it will give the interest required.

EXAMPLES.

1. What is the interest of 3607. 10s. for 146 days, at 6 per cent.?

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£. s. d. grs.

-8652 8 13 0 1,9 Ans.

Ans. $10,53cts.+ Ans. £4,1235=41. 28. 51d.+ 2. What is the interest of 640 dols. 60 cts. for 100 days, 3. Required the interest of 2507. 17s. for 120 days at 5 4. Required the interest of 481 dollars 75 cents, for 25 days, at 7 per cent. per annum ? Ans. $2,30cts. 9m.+ at 6 per cent. per annum ? per cent. per annum?

A TABLE, showing the number of Days from any day of one month, to the same day of any other month.

Jan.

FROM ANY DAY OF

¡Jan. Feb. Mar. Apl. May June July Aug. Sept. Oct. Nov. Dec. 365 334 306 275 245 214 184 153 122 92 61 31

Feb.

31 365 337 306 276 245 215 184 158 123

92

62

Mar. 59

28 365 334 304 273 243 212 181 151 120

106

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150 122

153 122

Oct.

July 181

Aug. 212 181

Sept. 243 212 184 153

273 242 214 183 153 122

Nov. 304 273 246 214 184 153 123

Dec. 334 303 275 244 214 183 153 122

61

61 31 365 335 304 273 243 212 182 30 365 334 303 273 242 212

91 61

365 335 304 274 243 212 182 151 121 30 365 334 304 273 242 212 181 151

92 61

31 365 334 304 273 243

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When interest is to be calculated on cash accounts, &c. where partial payments are made; multiply the several balances into the days they are at interest, then multiply the sum of these products by the rate on the dollar, and di vide the last product by 365, and you will have the whole interest due on the account, &c.

EXAMPLES.

Lent Peter Trusty, per bill on demand, dated 1st of June, 1800, 2000 dollars, of which I received back the 19th of August, 400 dollars; on the 15th of October, 600 dollars; on the 11th of December, 400 dollars; on the 17th of February, 1801, 200 dollars; and on the 1st of June, 400 dollars; how much interest is due on the bill, reckoning at 6 per cent. ?

1800

June 1, Principal per bill,
August 19, Received in part,

October 15, Received in part,

dolls. days. products.

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Balance,

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1801, February 17, Received in part, 200

Balance,

600

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365)23316,00(63,879 Ans. = 63 87 9+ The following Rule for computing interest on any note, or obligation, when there are payments in part, or endorsements, was established by the Superior Court of the State of Connecticut, in 1784.

RULE.

"Compute the interest to the time of the first ray

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