3 log 2x = 4
==> log 2x = 4/3
==> 2x = 10^(4/3)
==> x = \frac{10^(4/3)}{2}
Answer:
1.848 × 10^-2
Step-by-step explanation:
0.006 = 6 × 10^-3
3.08 = 3.08 × 10^0 (10^0 is equal to 1)
(6 × 10^-3) × (3.08 × 10^0) = 18.48 × 10^-3 = 1.848 × 10^-2
Vertically opposite angles are equal
With this information we can form an equation
2x+14=60
Subtract 14 from both sides
2x=46
Divide both sides by 2
X=23
x = 23 degrees
A.) R(20) = -10(20)^2 + 800(20) = -10(400) + 16000 = -4000 + 16000 = $12,000
R(25) = -10(25)^2 + 800(25) = -10(625) + 20000 = -6250 + 20000 = $13,750
R(30) = -10(30)^2 + 800(30) = -10(900) + 24000 = -9000 + 24000 = $15,000
b.) For maximum revenue, dR/dp = 0
dR/dp = -20p + 800 = 0
20p = 800
p = 40
Therefore, the maximum revenue will be recorded when the price is set at $40.
Answer:1/4 hour remaining
Step-by-step explanation:
Presenter 1 - 1/3 hour
Presenter 2 - 1/6 hour
Presenter 3 - 1/4 hour
Convert to least common denominator of 12
4/12 + 2/12 + 3/12 = 9/12
12/12 - 9/12 = 3/12
Reduce 3/12 to get 1/4 hour remaining
