Please help me to answer these sample problems. Thank you!

1. Abe can paint the room in 15 hours, Bea can paint 50% faster than Abe, and Coe can paint twice as fast as Abe. Abe begins to paints the room and work (alone) for the first hour and a half. Then Bea joins Abe, and they work together until half the room is painted. Then Coe joins Abe and Bea, and they work together until the entire room is painted. Find the number of minutes after Abe begins for the three of them to finish painting the room.

2. Find the area of the region bounded by the parabola x=y^2 +2 and the line y=x-8

3. Let h(x) = sec(x). Find h'(0).

4. Deshaun invested his savings in two investment funds. The amount he invested in Fund A was 3 times as much as the amount he invested in Fund B. Fund A returned a 7% profit and Fund B returned a 4% profit. How much did he invest in Fund B, if the total profit from the two funds together was $2000?

5. Business Math: Separation refers to an employee who has left a business, whether the employee has quit or was fired. Employment records for three businesses are as follows: Gizmo Inc.: 700 employees, 56 separations; WidgeCo: 1,800 employees, 108 separations; Techno Builders: 1,200 employees, 78 separations. Calculate their employee turnover rate percentages. Why would these numbers be useful to human resource people? Turnover rate = Number of separations Number of employees Turnover rates: Gizmo Inc.= ________ WidgeCo = __________ Techno Builders = ________ Company with highest rate: _____________ Lowest rate: ___________

6. x + 5 = 20 Find x.

7.

\fu = -91 + 3j Find the direction angle of u. Enter your answer as an angle in degrees between 0 and 360 rounded to the nearest hundredth