# The American Tutor's Assistant, Improved: Or, A Compendious System of Practical Arithmetic ...

Cushing & Jewett, 1827 - Arithmetic - 211 pages

### Contents

 Section 1 11 Section 2 63 Section 3 103 Section 4 104 Section 5 111 Section 6 113 Section 7 116 Section 8 128
 Section 10 140 Section 11 162 Section 12 163 Section 13 Section 14 Section 15 Section 16 Section 17

 Section 9 131

### Popular passages

Page 93 - RULE.* Multiply the principal by the rate per cent, and divide the product by 100: the quotient will be the interest for 1 year.
Page 167 - Multiply the number of terms, less 1, by the common difference, and to the product add the first ; term, the sum is the last term.
Page 167 - Note. — In any series of numbers in arithmetical progression, the sum of the two extremes is equal to the sum of any two terms equally distant from them; as in the latter of the above series 6 + 1=4+3, and =5+2.
Page 66 - Divide both terms by the common measure, and the quotients will be the numerator and denominator 'of the fraction required: or, Divide the terms by any number that will divide them both without a remainder, and divide the quotients in the same manner...
Page 123 - To reduce a compound fraction to a single one. RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator, then reduce the new fraction to its lowest term by Case I.
Page 65 - ... less is when the third term is less than the first, and requires the fourth term to be less than the second.
Page 157 - ... for a divisor; the quotient of this division will be the present worth. Or, Take two numbers under the given rate in Table IV. viz. that opposite the sum of the two given times, and that against the time of reversion, and multiply their difference by the annuity of the present worth. When the payments are half yearly or quarterly, use Table V.
Page 124 - To reduce the fraction of one denomination to the fraction, of another, but less, retaining the same value. RULE. Multiply the...
Page 187 - A cistern for water has two cocks to supply it, by the first it may be filled in 45 minutes, and by the second in 55 minutes; it has likewise a discharging cock, by which it may, when full, be emptied...
Page 2 - An Act for the Encouragement of Learning, by securing the copies of Maps, Charts, and Books, to the authors and proprietors of such copies during the time* therein mentioned," and extending the benefits thereof to the arts of designing, engraving, and etching historical and other prints.