(12 - 9) / 12 = (40 - x) / 40
3/12 = (40 - x) / 40
40(1/4) = 40 - x
10 = 40 - x
10 - 40 = -x
-30 = -x
30 = x <=== percent decrease from 40 to 30
The shelf should sell for $235.20.
Marking the price up by 60% means taking 160% of the cost:
160% = 160/100 = 1.6; 1.6(147) = 235.20
Answer:
<em><u>The final atmospheric pressure is 5.19 · 10⁴ Pa</u></em>
Step-by-step explanation:
Assuming that the temperature of the air does not change, we can use Boyle's law, which states that for a gas kept at constant temperature, the pressure of the gas is inversely proportional to its volume. In formula,
pV = const.
where p is the gas pressure and V is the volume
The equation can also be rewritten as
p₁ V₁ = p₂ V₂
where in our problem we have:
p₁ = 1.03 · 10₅ Pa is the initial pressure (the atmospheric pressure at sea level)
V₁ = 90.0L is the initial volume
p₂ is the final pressure
V₂ = 175.0L is the final volume
Solving the equation for p2, we find the final pressure:
p₂ = p₁ v₁ divided by V₂ = (1.01 · 10⁵)(90.0) divided by 175.0 = 5.19 · 10⁴ Pa
200 euros 300 euros
--------------- = -----------------------------
270 dollars x dollars
using cross products
200 * x = 270 * 300
divide each side by 200
x = 270 * 300/200
x =405 dollars