2x^4+x^3-x^2+8x^2+4x-4=2x^4+x^3+7x^2+4x-4
Answer:
(a) Amount of salt as a function of time
(b) The time at which the amount of salt in the tank reaches 50 lb is 23.5 minutes.
(c) The amount of salt when t approaches to +inf is 100 lb.
Step-by-step explanation:
The rate of change of the amount of salt can be written as
Then we can rearrange and integrate
Then we have the model of A(t) like
(b) The time at which the amount of salt reaches 50 lb is
(c) When t approaches to +infinit, the term e^(-0.02t) approaches to zero, so the amount of salt in the solution approaches to 100 lb.
9514 1404 393
Answer:
64r -48r -144
Step-by-step explanation:
The January cost expression is ...
62p -48p -144 -432 = profit
The cost is identified as having 3 components, so the profit will have 4 components:
(selling price)×p - ((cost per unit)×p +(fixed monthly cost)) -(first month startup cost) = profit
Comparing this to the given equation, we identify the components as ...
selling price = 62
cost per unit = 48
fixed monthly cost = 144
first month startup cost = 432
We note that 432 = 3×144, so is consistent with the description of startup costs.
Increasing the selling price by $2 will raise it from 62 to 64. In February, the initial month startup cost disappears, so the profit equation becomes ...
(selling price)×r - ((cost per unit)×r +(fixed monthly cost)) = profit
64r -48r -144 = profit
Answer:
- 1/2
Step-by-step explanation:
