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Chapter 3: Problem 9
Approximate each number using a calculator. Round your answer to three decimal places. $$e^{-0.95}$$
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The functions $$ f(x)=6.43(1.027)^{x} \quad \text { and } \quad g(x)=\frac{40.9}{1+6.6 e^{-0.049 x}} $$ model the percentage of college graduates, among people ages 25 and older, \(f(x)\) or \(g(x), x\) years after \(1950 .\) Use these functions to solve. (BAR GRAPH CAN'T COPY) Which function is a better model for the percentage who were college graduates in \(1990 ?\)
Find all zeros of \(f(x)=x^{3}+5 x^{2}-8 x+2\)
In Exercises \(141-144,\) determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. Examples of exponential equations include \(10^{x}=5.71\) \(e^{x}=0.72,\) and \(x^{10}=5.71\)
Determine whether each statement makes sense or does not make sense, and explain your reasoning. Because carbon-14 decays exponentially, carbon dating can determine the ages of ancient fossils.
Make Sense? In Exercises \(137-140,\) determine whether each statement makes sense or does not make sense, and explain your reasoning. Because the equations \(2^{x}=15\) and \(2^{x}=16\) are similar, I solved them using the same method.
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