I have linked a picture with the intervel.
Answer:
The change in revenue from the sale of one more doghouse if 110 doghouses have already been sold is dR/dx=66.67 $/doghouse.
Step-by-step explanation:
We have a revenue function that is:

We have to approximate the change in revenue from the sale of one more doghouse, if 110 doghouses have already been sold.
That is the marginal revenue at x=110.
The marginal revenue is expressed as the first derivative of the revenue.
Then, we calculate the derivative of R:
![\dfrac{dR}{dx}=\dfrac{d}{dx}[14,000\cdot \text{ln}(0.01x+1)]\\\\\\\dfrac{dR}{dx}=14,000\dfrac{d}{dx}[\text{ln}(0.01x+1)]\\\\\\\dfrac{dR}{dx}=14,000\cdot\dfrac{1}{0.01x+1}\cdot \dfrac{d}{dx}(0.01x+1)\\\\\\\dfrac{dR}{dx}=14,000\cdot\dfrac{1}{0.01x+1}\cdot 0.01\\\\\\\dfrac{dR}{dx}=\dfrac{14,000}{x+100}](https://tex.z-dn.net/?f=%5Cdfrac%7BdR%7D%7Bdx%7D%3D%5Cdfrac%7Bd%7D%7Bdx%7D%5B14%2C000%5Ccdot%20%5Ctext%7Bln%7D%280.01x%2B1%29%5D%5C%5C%5C%5C%5C%5C%5Cdfrac%7BdR%7D%7Bdx%7D%3D14%2C000%5Cdfrac%7Bd%7D%7Bdx%7D%5B%5Ctext%7Bln%7D%280.01x%2B1%29%5D%5C%5C%5C%5C%5C%5C%5Cdfrac%7BdR%7D%7Bdx%7D%3D14%2C000%5Ccdot%5Cdfrac%7B1%7D%7B0.01x%2B1%7D%5Ccdot%20%5Cdfrac%7Bd%7D%7Bdx%7D%280.01x%2B1%29%5C%5C%5C%5C%5C%5C%5Cdfrac%7BdR%7D%7Bdx%7D%3D14%2C000%5Ccdot%5Cdfrac%7B1%7D%7B0.01x%2B1%7D%5Ccdot%200.01%5C%5C%5C%5C%5C%5C%5Cdfrac%7BdR%7D%7Bdx%7D%3D%5Cdfrac%7B14%2C000%7D%7Bx%2B100%7D)
We then evaluate this marginal revenue at point x=110:

'Pi' is an irrational number. It can never be completely written with digits.
Here are the first 15 decimal places: 3.14159 26535 89792
A supercomputer lab in Japan has calculated <u>4 trillion</u> digits of pi,
and it still doesn't end.
With higher mathematics, it's possible to <u>prove</u> that pi never ends.
So, no matter how many digits somebody gives you for pi, there are
still an infinite number more after those.
Answer:
Let the three angles be 2x,9x & 4x
By the problem,2x+9x+4x=180
15x=180
x=180/15
x=12
there fore the angles are
2x= 2*12=24°
9x=108°
4x=48°
Step-by-step explanation:
Hope this helps you. If you have other questions, feel free to ask!