91Ó°ÊÓ

Identify the growth rate and the growth factor in the exponential function. $$y=31(4)^{t}$$

In Exercises 29 and 30, use the following information. At the start of a basketball tournament consisting of six rounds, there are 64 teams. After each round, one half of the remaining teams are eliminated. Write an exponential decay model showing the number of teams left in the tournament after each round.

Identify the growth rate and the growth factor in the exponential function. $$y=5.6(2.3)^{t}$$

Evaluate the expression without using a calculator. $$ \left(5^{-2}\right)^{2} $$

Write the number in scientific notation. $$ 900 $$

What is the value of an \(\$1000\) investment after 5 years if it earns 6% annual interest compounded quarterly (four times a year). HINT: Use the compound interest formula \(A=P\left(1+\frac{r}{n}\right)^{tn}\) where A is the value of the account, P is the initial investment, r is the interest rate, n is the number of times per year the interest is compounded, and t is the time period (in years).

The hourly rate of your new job is \(\$5.00\) per hour. You expect a raise of 9% at the end of each year. What will your hourly rate be at the end of your fifth year? $$\ A. \(5.45$$ $$\ B. \)7.25$$ $$\ C. \(7.69$$ $$\ D. \)9.50$$

Write the number in scientific notation. the number $$ 0.000006 $$

Use a calculator to evaluate the expression. Round your answer to the nearest ten thousandth. $$ 5^{-1} \cdot 5^{-3} $$

Write the number in scientific notation. the number $$ 0.0422 $$