91Ó°ÊÓ

Balance in an Account You deposit \(\$ 10,000\) in an account with an annual interest rate of \(6.75 \%\) for 12 years. Determine the balance in the account when the interest is compounded (a) daily \((n=365)\), (b) weekly, (c) monthly, and (d) quarterly. How is the balance affected by the type of compounding?

The distance between \(x\) and 5 is no more than \(3 .\)The distance between \(x\) and \(-10\) is at least \(6 .\)

The room shown in the figure has a floor space of \(\left(2 x^{2}-x-3\right)\) square feet. If the width of the room is \((x+1)\) feet, what is the length?

Use a calculator to approximate the number. (Round to three decimal places.)\(\sqrt[3]{45}\)

Balance in an Account You deposit \(\$ 2000\) in an account with an annual interest rate of \(7.5 \%\) for 15 years. Determine the balance in the account when the interest is compounded (a) daily \((n=365)\), (b) weekly, (c) monthly, and (d) quarterly. How is the balance affected by the type of compounding?

The distance between \(x\) and \(-10\) is at least \(6 .\)The distance between \(z\) and 0 is less than 8 .

Use a calculator to approximate the number. (Round to three decimal places.)\(\sqrt{57}\)

The room shown in the figure has a floor space of \(\left(3 x^{2}+8 x+4\right)\) square feet. If the width of the room is \((x+2)\) feet, what is the length?

The distance between \(z\) and 0 is less than 8 .\(y\) is at least six units from \(0 .\)

Factor each trinomial. State whether you used factoring by grouping or factoring by trial and error. (a) \(x^{2}+11 x+24\) (b) \(3 x^{2}+7 x-20\)