91Ó°ÊÓ

a) Find the exponential function that best fits the following data. $$\begin{array}{|c|c|}\hline & \text { PRICE OF ONE SHARE } \\\\\text { YEARS } & \text { OF STARBUCKS STOCK } \\\\\text { SINCE 2010 } & \text { AT BEGINNING OF } \\\\\text { JANUARY } \\\\\hline 0 & \$ 20.59 \\\1 & \$ 30.21 \\\2 & \$ 46.61 \\\3 & \$ 55.39 \\\4 & \$ 76.17 \\\\\hline\end{array}$$ b) Graph the scatterplot and the function on the same set of axes. c) Use the function to estimate the price of one share of Starbucks stock in 2018 . d) What other models also fit this data? Which model best predicts the price of one share of Starbucks stock in future years? Why?

Find the slope and \(y\) -intercept. $$ x=3 y+7 $$

Graph each function. $$ f(x)=3 x-1 $$

The annual interest rate \(r,\) when compounded more than once a year, results in a slightly higher yearly interest rate; this is called the annual (or effective) yield and denoted as Y. For example, \$1000 deposited at 5\%, compounded monthly for 1 yr \((12\) months \(),\) will have a value of \(A=1000\left(1+\frac{0.05}{12}\right)^{12}=\$ 1051.16 .\) The interest earned is \(\$ 51.16 / \$ 1000,\) or \(0.05116,\) which is \(5.116 \%\) of the original deposit. Thus, we say this account has a yield of \(Y=0.05116,\) or \(5.116 \% .\) The formula for annual yield depends on the annual interest rate \(r\) and the compounding frequency \(n:\) \(Y=\left(1+\frac{r}{n}\right)^{n}-1.\) For Exercises 41-48, find the annual yield as a percentage, to two decimal places, given the annual interest rate and the compounding frequency. Annual interest rate of \(5.3 \%,\) compounded monthly

The annual interest rate \(r,\) when compounded more than once a year, results in a slightly higher yearly interest rate; this is called the annual (or effective) yield and denoted as Y. For example, \$1000 deposited at 5\%, compounded monthly for 1 yr \((12\) months \(),\) will have a value of \(A=1000\left(1+\frac{0.05}{12}\right)^{12}=\$ 1051.16 .\) The interest earned is \(\$ 51.16 / \$ 1000,\) or \(0.05116,\) which is \(5.116 \%\) of the original deposit. Thus, we say this account has a yield of \(Y=0.05116,\) or \(5.116 \% .\) The formula for annual yield depends on the annual interest rate \(r\) and the compounding frequency \(n:\) \(Y=\left(1+\frac{r}{n}\right)^{n}-1.\) For Exercises 41-48, find the annual yield as a percentage, to two decimal places, given the annual interest rate and the compounding frequency. Stockman's Bank will pay \(4.2 \%,\) compounded annually, on a savings account. A competitor, Mesalands Savings, offers monthly compounding on savings accounts. What is the minimum annual interest rate that Mesalands needs to pay to make its annual yield exceed that of Stockman's?

The Technology Connection heading indicates exercises designed to provide practice using a graphing calculator. Graph. \(y=-2.3 x^{2}+4.8 x-9\)

Consider the function \(f\) given by $$ f(x)=\left\\{\begin{array}{ll} -2 x+1, & \text { for } x<0 \\ 17, & \text { for } x=0 \\ x^{2}-3, & \text { for } 0

Rewrite each of the following as an equivalent expression with rational exponents. $$ \frac{1}{\sqrt{m^{4}}} $$

Rewrite each of the following as an equivalent expression with rational exponents. $$ \sqrt{x^{3}+4} $$

Simplify. $$ 16^{5 / 2} $$