24 exponential functions and periodic compound interests pina xmath260
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The document discusses exponential functions and their properties. It defines exponential functions as functions of the form f(x) = bx where b > 0 and b ≠ 1. It provides examples of calculating exponential expressions using rules for positive integer, fractional, and real number exponents. Exponential functions are important in fields like finance, science, and computing. Common exponential functions include y = 10x, y = ex, and y = 2x. An example shows how to calculate compound interest monthly over several periods using the exponential function formulation.
This document describes how to multiply 78 x 73 using Vedic math techniques in 5 seconds. It explains that you take the base of 10 x 8 = 80 since 78 and 73 are closer to 80. Then you calculate 78 - 2 and 73 - 7 relative to the base of 80. You multiply -2 x -7 to get 4 with a carry of 1. Then you cross add 78 - 7 to get 71 and multiply 71 by 8, the base, to get 568. Adding the carried 1 gives the final answer of 5694.
This document describes how to multiply 78 x 73 using Vedic math techniques in 5 seconds. It explains that you take the base of 10 x 8 = 80 since 78 and 73 are closer to 80. Then you calculate 78 - 2 and 73 - 7 relative to the base of 80. You multiply -2 x -7 to get 4 with a carry of 1. Then you cross add 78 - 7 to get 71 and multiply 71 by 8, the base, to get 568. Adding the carried 1 gives the final answer of 5694.