Answer:27
Step-by-step explanation:first you need 40 x 12 for the area for your gravel
so 480 divided by 18 = about 27
Answer:
True.
Step-by-step explanation:
y = -3x + 20
Put x as 5, then y output should be 5.
y = -3(5) + 20
y = -15 + 20
y = 5
True, the line with slope -3 passes through points (5, 5).
So you divide 0.8 by 6.25 and your answer is 7.8125 and then you add 5.5 minutes of your other number and you get the answer of 13.3125
https://www.mesacc.edu/~scotz47781/mat120/notes/quad_formula/quad_formula.html
Use this link to help you .
Answer:
Demand is inelastic at p = 9 and therefore revenue will increase with
an increase in price.
Step-by-step explanation:
Given a demand function that gives <em>q</em> in terms of <em>p</em>, the elasticity of demand is
![E=|\frac{p}{q}\cdot \frac{dq}{dp} |](https://tex.z-dn.net/?f=E%3D%7C%5Cfrac%7Bp%7D%7Bq%7D%5Ccdot%20%5Cfrac%7Bdq%7D%7Bdp%7D%20%20%7C)
- If E < 1, we say demand is inelastic. In this case, raising prices increases revenue.
- If E > 1, we say demand is elastic. In this case, raising prices decreases revenue.
- If E = 1, we say demand is unitary.
We have the following demand equation
; p = 9
Applying the above definition of elasticity of demand we get:
![E(p)=\frac{p}{q}\cdot \frac{dq}{dp}](https://tex.z-dn.net/?f=E%28p%29%3D%5Cfrac%7Bp%7D%7Bq%7D%5Ccdot%20%5Cfrac%7Bdq%7D%7Bdp%7D)
where
- p = 9
- q =
![-\frac{3}{4}p+29](https://tex.z-dn.net/?f=-%5Cfrac%7B3%7D%7B4%7Dp%2B29)
![\frac{dq}{dp}=\frac{d}{dp}(-\frac{3}{4}p+29)](https://tex.z-dn.net/?f=%5Cfrac%7Bdq%7D%7Bdp%7D%3D%5Cfrac%7Bd%7D%7Bdp%7D%28-%5Cfrac%7B3%7D%7B4%7Dp%2B29%29)
![\frac{d}{dp}\left(-\frac{3}{4}p+29\right)=-\frac{d}{dp}\left(\frac{3}{4}p\right)+\frac{d}{dp}\left(29\right)\\\\\frac{d}{dp}\left(-\frac{3}{4}p+29\right)=-\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdp%7D%5Cleft%28-%5Cfrac%7B3%7D%7B4%7Dp%2B29%5Cright%29%3D-%5Cfrac%7Bd%7D%7Bdp%7D%5Cleft%28%5Cfrac%7B3%7D%7B4%7Dp%5Cright%29%2B%5Cfrac%7Bd%7D%7Bdp%7D%5Cleft%2829%5Cright%29%5C%5C%5C%5C%5Cfrac%7Bd%7D%7Bdp%7D%5Cleft%28-%5Cfrac%7B3%7D%7B4%7Dp%2B29%5Cright%29%3D-%5Cfrac%7B3%7D%7B4%7D)
Substituting the values
![E(9)=\frac{9}{-\frac{3}{4}(9)+29}\cdot -\frac{3}{4}\\\\E(9)=\frac{36}{89}\cdot -\frac{3}{4}\\\\E(9)=-\frac{27}{89}\approx -0.30337](https://tex.z-dn.net/?f=E%289%29%3D%5Cfrac%7B9%7D%7B-%5Cfrac%7B3%7D%7B4%7D%289%29%2B29%7D%5Ccdot%20-%5Cfrac%7B3%7D%7B4%7D%5C%5C%5C%5CE%289%29%3D%5Cfrac%7B36%7D%7B89%7D%5Ccdot%20-%5Cfrac%7B3%7D%7B4%7D%5C%5C%5C%5CE%289%29%3D-%5Cfrac%7B27%7D%7B89%7D%5Capprox%20-0.30337)
![|E(9)|=|\frac{27}{89}| < 1](https://tex.z-dn.net/?f=%7CE%289%29%7C%3D%7C%5Cfrac%7B27%7D%7B89%7D%7C%20%3C%201)
Demand is inelastic at p = 9 and therefore revenue will increase with an increase in price.