91Ó°ÊÓ

Solve each problem. Harlan's Rentals charges \(\$ 25\) plus \(\$ 6\) per hour to rent a machine to till the soil. What would it cost to rent the tiller for 4 hr?

Solve each equation by first clearing fractions or decimals. $$\frac{1}{3}+\frac{1}{9}(k+5)-\frac{k}{4}=2$$

Solve using the five "Steps for Solving Applied Problems." See Example 5 Last year, Clarissa invested a total of \(\$ 7000\) in two accounts earning simple interest. Some of it she invested at \(9.5 \%\), and the rest was invested at \(7 \%\). How much did she invest in each account if she earned a total of \(\$ 560\) in interest last year?

Solve each compound inequality. Graph the solution set, and write the answer in interval notation. $$r-10>-10 \text { and } 3 r-1>8$$

Solve each compound inequality. Graph the solution set, and write the answer in interval notation. $$2 t-3 \leq 6 \text { and } 5 t+12 \leq 17$$

Solve using the five "Steps for Solving Applied Problems." See Example 5 Ted has \(\$ 3000\) to invest. He deposits a portion of it in an account earning \(5 \%\) simple interest and the rest at \(6.5 \%\) simple interest. After 1 year he has earned \(\$ 175.50\) in interest. How much did Ted deposit in each account?

Solve each problem. Twice the supplement of an angle is \(24^{\circ}\) more than four times its complement. Find the angle, its complement, and its supplement.

Solve and check each equation. $$-54=6 m$$

Solve each equation by first clearing fractions or decimals. $$\frac{1}{2}=\frac{2}{9}(3 x-2)-\frac{x}{9}-\frac{x}{6}$$

Solve each problem. Trusty Rental Cars charges \(\$ 129.95\) per week ( 7 days) plus \(\$ 19.95\) per day for additional days. What would it cost to rent a car for 10 days?