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Magazine Problem 46
For the following exercises, evaluate each function. Round answers to four decimal places, if necessary. $$ f(x)=e^{x}, \text { for } f(3) $$
Problem 47
For the following exercises, evaluate each function. Round answers to four decimal places, if necessary. $$ f(x)=-2 e^{x-1}, \text { for } f(-1) $$
Problem 48
For the following exercises, evaluate each function. Round answers to four decimal places, if necessary. $$ f(x)=2.7(4)^{-x+1}+1.5, \text { for } f(-2) $$
Problem 49
For the following exercises, evaluate each function. Round answers to four decimal places, if necessary. $$ f(x)=1.2 e^{2 x}-0.3, \text { for } f(3) $$
Problem 50
For the following exercises, evaluate each function. Round answers to four decimal places, if necessary. $$ f(x)=-\frac{3}{2}(3)^{-x}+\frac{3}{2}, \text { for } f(2) $$
Problem 51
For the following exercises, use a graphing calculator to find the equation of an exponential function given the points on the curve. $$ (0,3) \text { and }(3,375) $$
Problem 53
For the following exercises, use a graphing calculator to find the equation of an exponential function given the points on the curve. $$ (20,29.495) \text { and }(150,730.89) $$
Problem 54
For the following exercises, use a graphing calculator to find the equation of an exponential function given the points on the curve. $$ (5,2.909) \text { and }(13,0.005) $$
Problem 55
For the following exercises, use a graphing calculator to find the equation of an exponential function given the points on the curve. $$ (11,310.035) \text { and }(25,356.3652) $$
Problem 56
The annual percentage yield (APY) of an investment account is actual interest rate earned on a compounding account. It is based on a compounding period of one year. Show that the APY of an account that compounds monthly can be found with the formula APY \(=\left(1+\frac{r}{12}\right)^{12}-1\)
