1) The Physics formula is given by P = mgh , where P = potential energy m = mass, g = gravity, h = height. a) Solve the formula for m .

1)  The Physics formula is given by P = mgh, where P = potential energy m = mass, g = gravity, h = height.  

a) Solve the formula for m.

b) Use the new version of the formula to find m when P = 8192, g = 32, and h = 1

2) The formula V = πr2h tells us the volume of a right circular cylinder with radius r and height h. 

a) Solve the formula for height h.

b) Use the new version of the formula to find the h when V=360π mm3 and r = 9 mm Use 3.14 as an approximation for π. Round final answer to the nearest hundredth as needed.

3) The area of a trapezoid is given by the formula , where h = height, b = length of the smaller base and B= length of the larger base. 

a) Solve the formula for height, h.

b) Use the new version of the formula to find the height whe A= 99 cm2, b = 19 cm, and B = 3 cm.

4) You need a new cell phone for emergencies only. Company A charges $12 per month plus $0.10 per minute, while Company B charges $0.15 per minute with no monthly service charge. For how many minutes will the monthly cost be the same?

10) Your current consulting position pays you $77,000 each year.  A competing firm has offered you $86,000 to join it.  To the nearest tenth, what percent increase in salary would you get if you joined the competing firm?