Answer:
156.6 or 156 with a remainder of 3
Step-by-step explanation:
Answer:
a.)Q' = -kQ + r
b.)Q =
c.) Limiting long run value of Q =
Step-by-step explanation:
a.)
The rate of change is directly proportional to the quantity, Q
⇒ ∝ Q
⇒ = -kQ ( because it is decreasing )
Also given, quantity is increasing with a constant rate r
⇒ = -kQ + r
⇒Q' = -kQ + r
b.)
As we have
= -kQ + r
⇒ = dt
⇒∫ = ∫dt
⇒-
⇒log(-kQ + r) = -kt -kC
Taking exponential both side, we get
⇒-kQ + r =
⇒-kQ = -r +
⇒Q = -
⇒Q = -
⇒Q = - .......(1)
Now,
At t = 0, Q = 0
0 = - B
⇒
⇒B = r
∴ equation (1) becomes
Q = -
⇒Q =
c.)
for limiting long run value of Q
=
=
⇒Limiting long run value of Q =
Answer:
Step-by-step explanation:
- x( x² - 12x + 21 )
Answer: Adrian will need to fix 25 bikes to reach a break even point.
Answer:
5x - 13y + 2
Step-by-step explanation:
Given: 2x – 4y + 6 + 3x – 9y – 4
Combine all like terms:
5x - 13y + 2