11 __ Her gross pay was 785.20 What was her hourly rate? regular hours last week plus 8 overtime hours at the time-and-a-half rate. 12. Mrs. Frasier worked her 40 regular hours last week, plus 4 overtime hours at the double-time rate. Her gross pay was 734.40 What was her hourly rate? 13. Last year Andrea's annual salary was a dollars, and she was paid biweekly. This year she received a raise of r dollars per year. She is now paid semimonthly. a. Express her biweekly salary last year algebraically. b. Express her semimonthly salary this year algebraically. c. How many more checks did Andrea receive each year when she was paid biweekly, as compared to the new semimonthly arrangement? 14. This week, Sean worked h regular hours and t overtime hours at the time-and-a-half rate . He earned 950 If represents his hourly rate, express r algebraically in terms of h and t. 15. Mr. Harrison earns 32 per hour. He regularly works 40 hours per week. If he works 26 overtime hours (at time -and-a-half), would his overtime pay exceed his regular gross pay? Explain. 16. In 2003, Carlos Zambrano earned 340,000 pitching for the Chicago Cubs. In 2009, his salary was 18,750,000 a. Zambrano pitched in 32 games in 2003. What was his salary per game in 2003? b. He pitched in 28 games in 2009 . What was his salary per game in 2009?Round to the nearest cent. c. Did he earn more per game in 2009 than he did for the entire 2003 season? 17. Last year, Mrs.Sclair's annual salary was 88,441 This year she received a raise and now earns 96,402 annually. She is paid weekly. a. What was her weekly salary last year? Round to the nearest cent. b. What is Mrs Sclair's weekly salary this year? Round to the nearest cent. c.On a weekly basis,how much more does Mrs. Sclair earn as a result of her raise? 18. Leah is paid semimonthly. How many fewer paychecks does she receive in 2 years compa someone who is paid weekly?

11. To find her hourly rate, we need to set up an equation based on the given information. Let's assume her hourly rate is $x. She worked 40 regular hours and 8 overtime hours at a time-and-a-half rate. Her gross pay was $785.20.<br /><br />The equation can be written as:<br />\[ 40x + 8 \times 1.5x = 785.20 \]<br /><br />Simplifying the equation:<br />\[ 40x + 12x = 785.20 \]<br />\[ 52x = 785.20 \]<br />\[ x = \frac{785.20}{52} \]<br />\[ x = 15.02 \]<br /><br />Therefore, her hourly rate is $15.02.<br /><br />12. Mrs. Frasier worked 40 regular hours and 4 overtime hours at a double-time rate. Her gross pay was $734.40.<br /><br />The equation can be written as:<br />\[ 40x + 4 \times 2x = 734.40 \]<br /><br />Simplifying the equation:<br />\[ 40x + 8x = 734.40 \]<br />\[ 48x = 734.40 \]<br />\[ x = \frac{734.40}{48} \]<br />\[ x = 15.30 \]<br /><br />Therefore, her hourly rate is $15.30.<br /><br />13. a. Andrea's biweekly salary last year can be expressed as:<br />\[ \frac{a}{2} \]<br /><br />b. Her semimonthly salary this year can be expressed as:<br />\[ \frac{a + r}{2} \]<br /><br />c. The number of checks Andrea received each year when she was paid biweekly is 26 (52 weeks divided by 2). The number of checks she receives each year with the new semimonthly arrangement is 24 (52 weeks divided by 2). Therefore, Andrea received 2 more checks each year when she was paid biweekly compared to the new semimonthly arrangement.<br /><br />14. Sean's hourly rate can be expressed as:<br />\[ r = \frac{950 - 40h}{1.5t} \]<br /><br />15. Mr. Harrison's regular gross pay for working 40 hours is:<br />\[ 32 \times 40 = 1280 \]<br /><br />His overtime pay for working 26 hours at time-and-a-half is:<br />\[ 32 \times 1.5 \times 26 = 1248 \]<br /><br />Since his overtime pay ($1248) exceeds his regular gross pay ($1280), his overtime pay would exceed his regular gross pay.<br /><br />16. a. Carlos Zambrano's salary per game in 2003 was:<br />\[ \frac{340,000}{32} = 10,625 \]<br /><br />b. His salary per game in 2009 was:<br />\[ \frac{18,750,000}{28} = 666,429 \]<br /><br />c. He earned more per game in 2009 ($666,429) than he did for the entire 2003 season ($10,625).<br /><br />17. a. Mrs. Sclair's weekly salary last year was:<br />\[ \frac{88,441}{52} = 1702.75 \]<br /><br />b. Her weekly salary this year is:<br />\[ \frac{96,402}{52} = 1851.50 \]<br /><br />c. On a weekly basis, Mrs. Sclair earns $148.75 more as a result of her raise.<br /><br />18. Leah, who is paid semimonthly, receives 24 paychecks in 2 years (52 weeks divided by 2). Someone who is paid weekly receives 104 paychecks in 2 years (52 weeks multiplied by 2). Therefore, Leah receives 80 fewer paychecks in 2 years compared to someone who is paid weekly.