Answer:
2 ≤ x
Step-by-step explanation:
Q(p) = k/p^3 . . . . . . . . we want to find k
q(10) = k/10^3 = 64
k = 64,000
Revenue = q(p)*p = 64000/p^2
Cost = 150 +2q = 150 +2*64000/p^3
Profit = Revenue -Cost = 64000/p^2(1 -2/p) -150
Differentiating to find the maximum profit, we have
.. dProfit/dp = -2(64000/p^3) +6(64000/p^4) = 0
.. -1 +3/p = 0
.. p = 3
A price of $3 per unit will yield a maximum profit.
Answer:
16
Step-by-step explanation:
solve for X.
16+4x=10+14
16+4x=24
4x=24-16
4x=8
x=2
8x=8(2)
8x=16
Answer: a) x = 5 b) x = 12
Step-by-step explanation: For each one you just do the inverse to get it on the other side of the equal sign. For example x + 3 = 8 would be like this :
1. x + 3 = 8
2. x + 3 - 3 = 8 -3
( + 3 - 3 cancels out)
3. x = 5
Answer:
2440 km; 1.330 × 10²⁷ kg
Step-by-step explanation:
(a) <em>Radius of Mercury
</em>
D = 4.88 × 10^³ km
D = 2r Divide each side by 2
r = D/2
r = (4.88 × 10³)/2
r = 2.44 × 10³ km Convert to decimal notation
r = 2440 km
(c) <em>Mass difference
</em>
Difference = 1.898 × 10²⁷ - 5.68 × 10²⁶ Rationalize exponents
Difference = 1.898 × 10²⁷ - 0.568 × 10²⁷
Difference = 1.330 × 10²⁷ kg