Answer:
What are you trying to find?
Step-by-step explanation:
A+3=B
17+3=B=20
B equals 20 when A equals 17
Answer:
i think he reads like 30 pages per hour
Step-by-step explanation:
Answer:
The demand will drop approximately 23 T-shirt per month.
Step-by-step explanation:
Consider the provided formula.
![q = 510-90p^{0.5}](https://tex.z-dn.net/?f=q%20%3D%20510-90p%5E%7B0.5%7D)
You currently sell T-shirts for $15 each and you raise your price by $2 per month,
That means p=$15 and ![\frac{dp}{dt}=2](https://tex.z-dn.net/?f=%5Cfrac%7Bdp%7D%7Bdt%7D%3D2)
We need to find how fast demand will drop.
So differentiate the above function with respect to time.
![\frac{dq}{dt} =0-45p^{0.5-1}\frac{dp}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7Bdq%7D%7Bdt%7D%20%3D0-45p%5E%7B0.5-1%7D%5Cfrac%7Bdp%7D%7Bdt%7D)
![\frac{dq}{dt} =-45p^{-0.5}\frac{dp}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7Bdq%7D%7Bdt%7D%20%3D-45p%5E%7B-0.5%7D%5Cfrac%7Bdp%7D%7Bdt%7D)
Substitute the respective values as shown:
![\frac{dq}{dt} =-45(15)^{-0.5}(2)](https://tex.z-dn.net/?f=%5Cfrac%7Bdq%7D%7Bdt%7D%20%3D-45%2815%29%5E%7B-0.5%7D%282%29)
![\frac{dq}{dt} \approx-23.24](https://tex.z-dn.net/?f=%5Cfrac%7Bdq%7D%7Bdt%7D%20%5Capprox-23.24)
Hence, the demand will drop approximately 23 T-shirt per month.