Chapter 10: Problem 39
Find the future value of an \(\$ 8000\) investment if the interest rate is \(4.5 \%\) compounded monthly for 2 years.
Chapter 10: Problem 39
Find the future value of an \(\$ 8000\) investment if the interest rate is \(4.5 \%\) compounded monthly for 2 years.
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Get started for freeThe number of a certain type of bacteria increases continuously at a rate proportional to the number present. There are 150 present at a given time and 450 present 5 hours later. (a) How many will there be 10 hours after the initial time? (b) How long will it take for the population to double? (c) Does the answer to part (b) depend on the starting time? Explain your reasoning.
In Exercises, determine whether the statement is true or false given that \(f(x)=\ln x .\) If it is false, explain why or give an example that shows it is false. $$ f(0)=0 $$
In Exercises, graph and analyze the function. Include any relative extrema and points of inflection in your analysis. Use a graphing utility to verify your results. $$ y=\frac{\ln x}{x} $$
In Exercises, determine an equation of the tangent line to the function at the given point. $$ y=\log _{3} x $$ $$ (27,3) $$
In Exercises, use implicit differentiation to find an equation of the tangent line to the graph at the given point. $$ x+y-1=\ln \left(x^{2}+y^{2}\right), \quad(1,0) $$
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