91Ó°ÊÓ

Use a calculator to approximate the number. (Round to three decimal places.)\(5.7^{2 / 5}\)

Find all integers \(b\) such that \(x^{2}+b x+24\) can be factored. Describe how you found these values of \(b\).

Use a calculator to approximate the number. (Round to three decimal places.)\(24.7^{1.1}\)

College Costs The average yearly cost of tuition, fees, and room and board at private four-year colleges in the United States was \(\$ 19,929\) for the academic year \(1998 / 1999\) and \(\$ 26,489\) for the academic year \(2004 / 2005\). Find the average yearly rate of inflation over this sevenyear period. (Source: U.S. National Center for Education Statistics)

\(y\) is at least six units from \(0 .$$x\) is less than eight units from \(0 .\)

Use absolute value notation to describe the sentence.\(x\) is more than five units from \(m\).

Becoming a Millionaire The compound interest formula can be rewritten as \(P=\frac{A}{(1+r / n)^{n t}}\) Find the principal amount \(P\) that would have had to have been invested on the day you were born at \(7.5 \%\) annual interest compounded quarterly to make you a millionaire on your 21 st birthday.

Find all integers \(c>0\) such that \(x^{2}+8 x+c\) can be factored. Describe how you found these values of \(c\).

Use a calculator to approximate the number. (Round to three decimal places.)\(0.26^{-0.8}\)

Use absolute value notation to describe the sentence.\(y\) is at most two units from \(a\).