Answer:
16 apples.
Step-by-step explanation:
![U(x, y) = x^2y^8](https://tex.z-dn.net/?f=U%28x%2C%20y%29%20%3D%20x%5E2y%5E8)
![MU_x =\frac{\partial U}{\partial x} = 2xy^8\\MU_y = \frac{\partial U}{\partial x} = 8x^2y^7\\](https://tex.z-dn.net/?f=MU_x%20%3D%5Cfrac%7B%5Cpartial%20U%7D%7B%5Cpartial%20x%7D%20%20%3D%202xy%5E8%5C%5CMU_y%20%3D%20%5Cfrac%7B%5Cpartial%20U%7D%7B%5Cpartial%20x%7D%20%3D%208x%5E2y%5E7%5C%5C)
Price of apples, Px=$4
Price of tomatoes, Py=$3
Ratio of their Marginal Utilities
![\frac{MU_x}{MU_y} = \frac{Px}{Py}](https://tex.z-dn.net/?f=%5Cfrac%7BMU_x%7D%7BMU_y%7D%20%20%3D%20%20%5Cfrac%7BPx%7D%7BPy%7D)
![\frac{y}{4x} = \frac{4}{3}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B4x%7D%20%20%3D%20%20%5Cfrac%7B4%7D%7B3%7D)
![y=\frac{16x}{3}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B16x%7D%7B3%7D)
Since Natalie’s income is $320
320 = xPx+yPy
![320=4x + 3*\frac{16x}{3} \\320= 4x+16x = 20x\\x=\frac{320}{20} = 16\\Also\\y=\frac{16x}{3}=\frac{16X16}{3}=\$85.33](https://tex.z-dn.net/?f=320%3D4x%20%2B%203%2A%5Cfrac%7B16x%7D%7B3%7D%20%5C%5C320%3D%204x%2B16x%20%3D%2020x%5C%5Cx%3D%5Cfrac%7B320%7D%7B20%7D%20%3D%2016%5C%5CAlso%5C%5Cy%3D%5Cfrac%7B16x%7D%7B3%7D%3D%5Cfrac%7B16X16%7D%7B3%7D%3D%5C%2485.33)
Since x=16, Natalie will consume 16 apples.
Answer:
56
Step-by-step explanation:
Answer:
Each flower cost an equivalent of $5 per flower. To get this answer you have to divide 90 by 18 to get the average cost of the flowers and stuff.
Answer:
(-8, -6)
Step-by-step explanation:
When you graph the given equation on the given graph, you find the lines intersect at (-8, -6).
The solution to the system is (-8, -6).
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The equation is given in slope-intercept form, so you can find the y-intercept (y=10) and draw a line with slope 2 from there. It will go through (-5, 0), so you know the solution lies in the 3rd quadrant and has an x-value less than -5. Only one answer choice matches.
C=+3 since your adding three more onto four