A new system of arithmetick: in which the rules are familiarly demonstrated and the principles of the science clearly and fully explained ...

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Knowlton & Rice, 1836 - Arithmetic - 263 pages
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Page 150 - The rule for casting interest, when partial payments have been made, is to apply the payment, in the first place, to the discharge of the interest then due. If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due. If the payment be less than the interest, the surplus of interest must not be taken to augment the principal; but interest continues on the former principal until the...
Page 155 - Compute the interest on the principal sum, from the time when the interest commenced to the first time when a payment was made, which exceeds either alone or in conjunction with the preceding payment...
Page 153 - But if any payments be made before one year's interest hath accrued, then compute the interest on the principal sum due on the obligation, for one year, add- it to the principal, and compute the interest on the sum paid, from the time it was paid up to the end of the year; add it to the sum paid...
Page 7 - Decedents," and to repeal said original sections, -and to repeal sections one (1), two (2), three (3), four (4), five (5), six (6), seven...
Page 211 - A general has 4096 men ; how many must he place in rank and file to form them into a square ? Ans.
Page 235 - To reduce an improper fraction to a whole or mixed number. RULE. Divide the numerator by the denominator, and the quotient will be the whole or mixed number sought.
Page 153 - Compute the interest to the time of the first payment ; if that be one year or more from the time the interest commenced , add it to the principal, and deduct the payment from the sum total. If there be after payments made, compute the interest on the balance due, to the next payment, and then deduct the payment as above ; and in like manner from one payment to another till all the payments are absorbed ; provided the time between one payment and another be one year or more.
Page 172 - To measure a parallelogram, or long square. RULE. Multiply the length by the breadth, and the product will be the area, or superficial content.
Page 60 - Place the number of times at the right hand of the dividend, for the first figure of the quotient. Multiply the divisor by this quotient figure, and place the result...
Page 131 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.

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