<h3>Given</h3>
![c(n)=30+5n\\a(n)=\dfrac{c(n)}{n}](https://tex.z-dn.net/?f=c%28n%29%3D30%2B5n%5C%5Ca%28n%29%3D%5Cdfrac%7Bc%28n%29%7D%7Bn%7D)
<h3>Find</h3>
![\dfrac{d}{dn}(a(n))\quad\text{at n=10}](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdn%7D%28a%28n%29%29%5Cquad%5Ctext%7Bat%20n%3D10%7D)
<h3>Solution</h3>
![\dfrac{d}{dn}(a(n))=\dfrac{d}{dn}\left(\dfrac{30+5n}{n}\right)=\dfrac{d}{dn}\left(30n^{-1}+5\right)\\\\=-30n^{-2}\\\\=-30\cdot 10^{-2}\qquad\text{at n=10}\\\\=-0.30](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdn%7D%28a%28n%29%29%3D%5Cdfrac%7Bd%7D%7Bdn%7D%5Cleft%28%5Cdfrac%7B30%2B5n%7D%7Bn%7D%5Cright%29%3D%5Cdfrac%7Bd%7D%7Bdn%7D%5Cleft%2830n%5E%7B-1%7D%2B5%5Cright%29%5C%5C%5C%5C%3D-30n%5E%7B-2%7D%5C%5C%5C%5C%3D-30%5Ccdot%2010%5E%7B-2%7D%5Cqquad%5Ctext%7Bat%20n%3D10%7D%5C%5C%5C%5C%3D-0.30)
The derivative of the average cost function at n=10 is -0.30.
Answer:
Step-by-step explanation:
Try dividing the first equation by 3. The result will be identical to the second equation. Thus, we have two lines that coincide, and therefore there are an infinite number of solutions.
These are the answers:
1 D
2 B
Yes I think it really is the correct answer
Answer:
At 0 hours, there are 100 grams of the substance remaining.
Step-by-step explanation: