Rule of 72 Complete the following table, and use the resultsto discuss when the rule of 70 gives a better approximationfor the doubling time, and when the rule of 72 gives a betterapproximation.0.0010.02 0.05 0.080.12(In 2)/In(1 + r)70/100r72/100r

a) The doubling time t in years when m=1 is :- t=ln 2ln1+r b) Rule 70: for, 0.001≤r≤0.05, the value…

Answered: Rule of 72 Complete the following…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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and explain the range and domain for each. function (or the arctan function). Draw the relevant graphs 7. EXPONENTIAL FUNCTIONS AND THEIR DERIVATIES (1) Recall the definition of an exponential function. First, the basics. Let a be a positive real number. Then • for n a positive integer, a" = • for n = 0. a" = for n a negative integer, say n = -k, a" = • for x = a rational number, at 1 9 . for x an irrational number, a" = • = at-y (aª)³ = (ab) = I (5) ● P - = be inaction (2) Properties of exponents: For any real numbers x, y and a, b positive real numbers, • a+y = 00 (3) Let f(x) = b. Here b is called MTH 32 • What happens when b< 0? . What happens when b = 0? What happens with b = 1? Explain in detail. 37 and x is called the 64
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58. Use a calculator with an exponential key to find values for the following: (1.1)10, (1.01)100, (1.001)1000, (1.0001)10.000, and (1.00001) Compare your results to the approximation given for e in this section. What do you find? 100,000

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Rule of 72 Complete the following table, and use the results to discuss when the rule of 70 gives a better approximation for the doubling time, and when the rule of 72 gives a better approximation. 0.001 0.02 0.05 0.08 0.12 (In 2)/In(1 + r) 70/100r 72/100r