All you need to do here is know where and how to plug in the numbers. In each equation, you'll have an initial fee, and an hourly fee, so your equation will be
y = i + hx, where i = the initial fee, and h = the hourly fee
So, after plugging them in, here's what you get:
Doors Galore: y = 40 + 50x
G&H: y = 60 + 40x
9514 1404 393
Answer:
(x, y) = (5, -4)
Step-by-step explanation:
The Desmos graphing calculator is a handy tool for solving questions like this one. It tells you the solution is ...
(x, y) = (5, -4)
Answer:
Decreases
Step-by-step explanation:
We need to determine the integral of the DE;
![dP/dt=P(aP-b)](https://tex.z-dn.net/?f=dP%2Fdt%3DP%28aP-b%29)
![dP=P(aP-b)dt](https://tex.z-dn.net/?f=dP%3DP%28aP-b%29dt)
![1/(dP^2-bP)dP=dt](https://tex.z-dn.net/?f=1%2F%28dP%5E2-bP%29dP%3Ddt)
We can solve this by integration by parts on the left side. We expand the fraction 1/P²:
![1/(d-b/P)\cdot{P^2} dP](https://tex.z-dn.net/?f=1%2F%28d-b%2FP%29%5Ccdot%7BP%5E2%7D%20dP)
let
![u=d-b/P](https://tex.z-dn.net/?f=u%3Dd-b%2FP)
![du/dP=b/P^2](https://tex.z-dn.net/?f=du%2FdP%3Db%2FP%5E2)
![dP=](https://tex.z-dn.net/?f=dP%3D)
![\int\limits {P^2/b} \, du](https://tex.z-dn.net/?f=%5Cint%5Climits%20%7BP%5E2%2Fb%7D%20%5C%2C%20du)
![P=lnu/b](https://tex.z-dn.net/?f=P%3Dlnu%2Fb)
Substitute u in:
![P=ln(d-b/P)/b](https://tex.z-dn.net/?f=P%3Dln%28d-b%2FP%29%2Fb)
Therefore the equation is:
![ln(d-b/P)/b=t](https://tex.z-dn.net/?f=ln%28d-b%2FP%29%2Fb%3Dt)
We simplify:
![d-b/P=e^b^t](https://tex.z-dn.net/?f=d-b%2FP%3De%5Eb%5Et)
![P=b/(d-e^b^t)](https://tex.z-dn.net/?f=P%3Db%2F%28d-e%5Eb%5Et%29)
As t increases to infinity P will decrease
The answer to your question is C.
Answer:
22.459 pounds of wood
Step-by-step explanation:
Total amount of wood in store = amount of pine wood purchased + amount of cedar in the store
Total amount of wood in store = 13.145 pine wood + 16.903 cedar wood
Total amount of wood in store = 30.048 pounds of wood
If acme lumber had sold 7.589 pounds of lumber after 6 months, the amount of pounds of woods that the company have left to sell = Total amount in store initially - amount sold after 6 months
Amount of pounds of woods that the company have left to sell = 30.048 - 7.589
The amount of pounds of woods that the company have left to sell = 22.459 pounds of wood