Paper 4: Fundamentals of Business Mathematics & Statistic
2.24 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra CHANGE OF BASE : The relation between the logarithm of a numb ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.25 or log 16 x =^34 or x = 163/4 = 24x3/4 = 2^3 = 8. Example 36 : If p = ...
2.26 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra (ii) 2 log (a + b) = log 9 + log a + log b. (iii) log (a b)^1 ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.27 If p = ax, q = ay and a^4 = (p4y. q4x)x prove that xyz = 21. Prove t ...
2.28 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra Finding the Characteristic (i) Let the number be greater than ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.29 Now log 0.0031 lies between – 3 and – 2. ∴ log 0.0031 = – 3 + a posit ...
2.30 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra Hence, log 23 = 1.3617. Let us now find the logarithm of 234, ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.31 Example 40 : Given log 10 2 = 0.30103, find log 10 (1000/256) solutio ...
2.32 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra Using tables find the value of : (i) 19.66 ÷9.701 (ii) 0.678 ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.33 2.5 LAWS OF INDICES The word indices is a plural part of the word ind ...
2.34 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra (3) a−k=a^1 k for any non zero real number a and any integar ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.35 − − − − − = (^) (^132545434) 2 4 13 4 2 .2 .2 .3 .3 .3 .(2 ) ( ) 2 ( ...
2.36 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra Example 48 : Simplify a b 2 b c 2 c a 2 a b c 4 (x ) .(x ) .( ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.37 Example 52 : Simplify a a a a for a 3=^1615 Solution : (Note carefull ...
2.38 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra or, (0.1234) 10 10a× a= c or, (0.1234) 10a= c a− or, c a (0.1 ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.39 2.6 PERMUTATION AND COMBINATION 2.6.1. PERMUTATION : Definition : The ...
2.40 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra nPn = n (n – 1) (n – 2) ...... to n factors = n (n – 1) (n – ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.41 Keeping aside the p particular things, fill up the r places with the ...
2.42 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra or, ( )( )( )( ) ( ) ( )( ) ( ) n n 1 n 2 n 3 n 4! 30 n n 1 n ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.43 4! 4 3 2! 4 3 12 2! 2! = × × = × = (ii) The relative order of vowels ...
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