Answer:
Henry does not make money if he does not sell any apples.
Step-by-step explanation:
Henry sells apples. The graph of the relationship between the price of apples and their total weight passes through the point (0,0) or origin.
Now, we have to clarify the meaning of the point (0,0) on the graph.
We choose from the options that Henry does not make money if he does not sell any apples.
Therefore, option D will be the correct one. (Answer)
Answer:
x = 45.6°
Step-by-step explanation:
As we can see, this is a right triangle, so there are known relationships
well to start we have to know the relationship between angles, legs and the hypotenuse
α = x°
a: adjacent
o: opposite = 5
h: hypotenuse = 7
sin α = o/h
cos α = a/h
tan α = o/a
we see that it has (angle, hypotenuse, opposite)
is the sine
sin α = o/h
sin x = 5/7
x = sin^-1 (5/7)
x = 45.58°
if we want to round to the nearest tenth
x = 45.58° = 45.6°
I need a paragraph using 10 of these 15 words sensible,startled,jovial,lecture,saunter,comical,apologize,banish,cautious,ascend,
Annette [7]
Ethan was startled when he learned that he made the football team. He was reassured by family and friends that he would do a great job. Being cautious, Ethan was able to get his workout routines down packed with lectures from his coach. Once the games started, his level of play ascends to the point that some people had to apologize because they thought he wasn't good enough. Ethan had a few comical moments when the football tumbled during a game, but his level of low self-esteem descend because his confidence grew. He became sensible and banish all negativity.
32 = 12 1/4 + 6 1/3 +x
get a common denominator for the fraction, 12
32 = 12 (1/4 * 3/3) + 6 1/3*4/4 + x
32 = 12 3/12 + 6 4/12 + x
add
32 = 18 7 /12 + x
subtract 18 7/ 12 from each side
32 - 18 7/12 = x
borrow from 32
31 12/12 - 18 7/12 = x
13 5/12 =x
Choice A
Answer:
She consumes 30 blue ray disk and 60 DVD respectively.
Step-by-step explanation:
Consider the provided information.
![U(x,y)=10x^2y](https://tex.z-dn.net/?f=U%28x%2Cy%29%3D10x%5E2y)
Calculate marginal utility of good
Differentiate with respect of x and y.
![MU_x=20xy](https://tex.z-dn.net/?f=MU_x%3D20xy)
![MU_y=10x^2](https://tex.z-dn.net/?f=MU_y%3D10x%5E2)
Her consumption of Blu-ray disks (X) with a price of $40 and Y is her consumption of DVDs with a price of $10.
The ratio of marginal utility of good x to y is equal to the price ratio:
![\frac{MU_x}{MU_y}=\frac{P_x}{P_y}](https://tex.z-dn.net/?f=%5Cfrac%7BMU_x%7D%7BMU_y%7D%3D%5Cfrac%7BP_x%7D%7BP_y%7D)
Substitute the respective values.
![\frac{20xy}{10x^2}=\frac{40}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B20xy%7D%7B10x%5E2%7D%3D%5Cfrac%7B40%7D%7B10%7D)
![\frac{2y}{x}=4](https://tex.z-dn.net/?f=%5Cfrac%7B2y%7D%7Bx%7D%3D4)
![2y=4x](https://tex.z-dn.net/?f=2y%3D4x)
![y=2x](https://tex.z-dn.net/?f=y%3D2x)
She has $1800 with which to spend on the two goods.
Her consumption of Blu-ray disks (X) with a price of $40 and Y is her consumption of DVDs with a price of $10. She has $1800 with which to spend on the two goods.
Therefore, ![40x+10y=1800](https://tex.z-dn.net/?f=40x%2B10y%3D1800)
![4x+y=180](https://tex.z-dn.net/?f=4x%2By%3D180)
Substitute the value of y in above equation.
![4x+2x=180](https://tex.z-dn.net/?f=4x%2B2x%3D180)
![6x=180](https://tex.z-dn.net/?f=6x%3D180)
![x=30](https://tex.z-dn.net/?f=x%3D30)
Thus, ![y=60](https://tex.z-dn.net/?f=y%3D60)
She consumes 30 blue ray disk and 60 DVD respectively.