Answer: the number of cookies sold must be greater than or equal to 800
Step-by-step explanation:
Let x represent the number of cookies made and sold in a month.
The cookie factory has a fixed cost of $300 per month plus $.45 for each cookie. This means that the total cost of producing x cookies in a month would be
300 + 0.45x
Each cookie sells for $.95. This means that the total revenue from selling x cookies would be
0.95x
Profit = Revenue - cost
Therefore, the number of cookies that must be sold during one month for the profit to be at least $100 would be
0.95x - (300 + 0.45x) ≥ 100
0.95x - 300 - 0.45x ≥ 100
0.95x - 0.45x ≥ 100 + 300
0.95x - 0.45x ≥ 100 + 300
0.5x ≥ 400
x ≥ 400/0.5
x ≥ 800
Answer:
33
Step-by-step explanation:
Answer: ![\bold{\sqrt[4]{2} }](https://tex.z-dn.net/?f=%5Cbold%7B%5Csqrt%5B4%5D%7B2%7D%20%7D)
<u>Step-by-step explanation:</u>
![\dfrac{1}{2}\sqrt[4]{32} =\dfrac{1}{2}\sqrt[4]{2\cdot 2\cdot 2\cdot 2\cdot 2}=\dfrac{1}{2}\cdot 2\sqrt[4]{2}=\boxed{\sqrt[4]{2} }](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D%5Csqrt%5B4%5D%7B32%7D%20%3D%5Cdfrac%7B1%7D%7B2%7D%5Csqrt%5B4%5D%7B2%5Ccdot%202%5Ccdot%202%5Ccdot%202%5Ccdot%202%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%202%5Csqrt%5B4%5D%7B2%7D%3D%5Cboxed%7B%5Csqrt%5B4%5D%7B2%7D%20%7D)
Answer:
D) -10x-4
Step-by-step explanation:
−6(5/3x+4)
=(−6)(5/3x+4)
=(−6)(5/3x)+(−6)(4)
=−10x−24
