The elements of algebraDeighton, 1841 - 305 páginas |
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Página 184
... paid in crowns and guineas ? Let a be the number of guineas , and y the number of crowns , then 21x + 5y = 20000 ; and it is required to find how many solutions this equation ad- mits of in positive integers . 4 21 The fractions are ...
... paid in crowns and guineas ? Let a be the number of guineas , and y the number of crowns , then 21x + 5y = 20000 ; and it is required to find how many solutions this equation ad- mits of in positive integers . 4 21 The fractions are ...
Página 206
... paid for the use of money which belongs to another . The rate of interest is the consideration paid for the use of a certain sum for a certain time , as of 1 £ for one year . When the interest of the Principal alone , or sum lent , is ...
... paid for the use of money which belongs to another . The rate of interest is the consideration paid for the use of a certain sum for a certain time , as of 1 £ for one year . When the interest of the Principal alone , or sum lent , is ...
Página 207
... paid down to receive 600 £ at the end of 3 years , allowing 5 per cent . per annum compound interest ? In this case R P = = 105 , n = 3 , M = 600 ; therefore M 600 Rn = ( 1.05 ) 3 £ 518-302 £ 518 . 68. old . [ 370. When compound ...
... paid down to receive 600 £ at the end of 3 years , allowing 5 per cent . per annum compound interest ? In this case R P = = 105 , n = 3 , M = 600 ; therefore M 600 Rn = ( 1.05 ) 3 £ 518-302 £ 518 . 68. old . [ 370. When compound ...
Página 208
... paid at the end of a year , it has been shewn that the amount of P £ at the end of n years = P ( 1 + r ) " . But if be the interest of 1 £ paid at the end of each 2 half - year , then 1 + 2 ° 2 ( 1 + 2 ) 1 2 = 2 3 ( + ) - the amount of ...
... paid at the end of a year , it has been shewn that the amount of P £ at the end of n years = P ( 1 + r ) " . But if be the interest of 1 £ paid at the end of each 2 half - year , then 1 + 2 ° 2 ( 1 + 2 ) 1 2 = 2 3 ( + ) - the amount of ...
Página 209
... paid half - yearly , quarterly , & c . instead of yearly . It appears from Art . 370 that the advantage per 1 £ for a year , when interest is paid half - yearly , and the half - yearly payment is half the yearly one , 2 - ( 1 + ) 2 ...
... paid half - yearly , quarterly , & c . instead of yearly . It appears from Art . 370 that the advantage per 1 £ for a year , when interest is paid half - yearly , and the half - yearly payment is half the yearly one , 2 - ( 1 + ) 2 ...
Términos y frases comunes
a²x² algebraical quantities annuity Arithmetical Progression ax² binomial Binomial Theorem coefficient common denominator contains continued fraction cube root difference digits divided divisible divisor equal expressed Extract the square factors find the number Find the value fraction given greater Greatest Common Measure Hence impossible roots last term Least Common Multiple less lowest terms multiplied negative number of terms numerator and denominator odd number original equation permutations Present Value probability proposed equation proposed quantity prove quadratic quadratic equation quadratic surds quan quotient ratio Reduce to lowest remainder represented Required the value rule shew shillings signs square root substituted subtracted suppose supposition surd unknown quantity vulgar fraction whole number
Pasajes populares
Página 91 - This process of adding the square of half the coefficient of the first power of the unknown quantity to the first member, in order to make it a perfect square, is called COMPLETING THE SQUARE.
Página 87 - A laborer agreed to serve for 36 days on condition that for every day he worked he should receive $1.25, and for every day he was absent he should forfeit 50 cents.
Página 110 - If the product of two quantities be equal to the product of two others, two of them may be made the extremes and the other two the means of a proportion.
Página 79 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
Página 49 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.
Página 125 - Progression may be found by multiplying the sum of the first and last terms by half the number of terms.
Página 113 - When any number of quantities are proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.
Página 106 - Ratio is the relation which one quantity bears to another in respect of magnitude, the comparison being made by considering what multiple, part, or parts, one is of the other.
Página 24 - The sign of equality, called equal, or equal to, signifies that the quantities between which it is placed are equal to each other.
Página 15 - Multiply as in whole numbers, and point off as many decimal places in the product as there are in both multiplicand and multiplier. DIVISION. Divide as in whole numbers, and point off...