91Ó°ÊÓ

Use the formula \(A=P\left(1+\frac{r}{n}\right)^{n t}\) to find the total amount of money accumulated at the end of the indicated time period for each of the following investments. \(\$ 10,000\) for 25 years at \(9.25 \%\) compounded monthly \(\$ 100,104.82\)

(a) list the domain and range of the function, (b) form the inverse function \(f^{-1}\), and (c) list the domain and range of \(f^{-1}\). $$ f=\\{(1,5),(2,9),(5,21)\\} $$

Solve each of the equations. $$ 27^{4 x}=9^{x+1} \quad\left\\{\frac{1}{5}\right\\} $$

Use your calculator to find \(x\) when given \(\log x\). Express answers to five significant digits. $$ \log x=1.9006 $$

Solve each exponential equation and express approximate solutions to the nearest hundredth. $$ 3 e^{x}-1=17 $$

Write each logarithmic statement in exponential form. For example, \(\log _{2} 8=3\) becomes \(2^{3}=8\) in exponential form. $$ \log _{10} 10,000=4 $$

Write each logarithmic statement in exponential form. For example, \(\log _{2} 8=3\) becomes \(2^{3}=8\) in exponential form. $$ \log _{10} 100,000=5 $$

Solve each of the equations. $$ 32^{x}=16^{1-x} \quad\left\\{\frac{4}{9}\right\\} $$

(a) list the domain and range of the function, (b) form the inverse function \(f^{-1}\), and (c) list the domain and range of \(f^{-1}\). $$ f=\\{(1,1),(4,2),(9,3),(16,4)\\} $$

Use your calculator to find \(x\) when given \(\log x\). Express answers to five significant digits. $$ \log x=0.5517 $$