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 = r²h 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=360 mm³ and r = 9 mm Use 3.14 as an approximation for . 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?