Add up all of your X’s!! then Try and add up all of the degrees I think. Check me if i’m wrong !
Answer: it is 3
Step-by-step explanation:
If I’m analyzing the question correct, you would pay 912 in total
Answer: At $21.85, the supply will equal to demand.
Step-by-step explanation:
Since we have given that
Demand function is given by
![D(p) = 50 - 0.04p^2, \text{where p is the price.}](https://tex.z-dn.net/?f=D%28p%29%20%3D%2050%20-%200.04p%5E2%2C%20%5Ctext%7Bwhere%20p%20is%20the%20price.%7D)
Supply function is given by
![S(p) = 10 + 0.002p^3](https://tex.z-dn.net/?f=S%28p%29%20%3D%2010%20%2B%200.002p%5E3)
According to question, we need to find the price for which the supply equals the demand, i.e. Equilibrium price and quantity.
![D(p)=S(p)\\\\50-0.04p^2=10+0.002p^3\\\\50-10=0.002p^3+0.04p^2\\\\40=\frac{2}{1000}p^3+\frac{4}{100}p^2\\\\40=\frac{2}{100}p^2(\frac{1}{10}p+2)\\\\\frac{40\times 100}{2}=p^2(\frac{1p+20}{2})\\\\\mathrm{The\:Newton-Raphson\:method\:uses\:an\:iterative\:process\:to\:approach\:one\:root\:of\:a\:function}\\\\p\approx \:21.85861\dots](https://tex.z-dn.net/?f=D%28p%29%3DS%28p%29%5C%5C%5C%5C50-0.04p%5E2%3D10%2B0.002p%5E3%5C%5C%5C%5C50-10%3D0.002p%5E3%2B0.04p%5E2%5C%5C%5C%5C40%3D%5Cfrac%7B2%7D%7B1000%7Dp%5E3%2B%5Cfrac%7B4%7D%7B100%7Dp%5E2%5C%5C%5C%5C40%3D%5Cfrac%7B2%7D%7B100%7Dp%5E2%28%5Cfrac%7B1%7D%7B10%7Dp%2B2%29%5C%5C%5C%5C%5Cfrac%7B40%5Ctimes%20100%7D%7B2%7D%3Dp%5E2%28%5Cfrac%7B1p%2B20%7D%7B2%7D%29%5C%5C%5C%5C%5Cmathrm%7BThe%5C%3ANewton-Raphson%5C%3Amethod%5C%3Auses%5C%3Aan%5C%3Aiterative%5C%3Aprocess%5C%3Ato%5C%3Aapproach%5C%3Aone%5C%3Aroot%5C%3Aof%5C%3Aa%5C%3Afunction%7D%5C%5C%5C%5Cp%5Capprox%20%5C%3A21.85861%5Cdots%20)
So, at $21.85, the supply will equal to demand.
The standard equation of a circle is
(x-h)^2 + (y-k)^2 = r^2
where the center is at point (h,k)
From the statement of the problem, it is already established that h = 2 and k = -5. What we have to determine is the value of r. This could be calculated by calculating the distance between the center and point (-2,10). The formula would be
r = square root [(x1-x2)^2 + (y1-y2)^2)]
r = square root [(2--2)^2 + (-5-10)^2)]
r = square root (241)
r^2 = 241
Thus, the equation of the circle is