Answer:
y=10/18x- 9 2/3
Step-by-step explanation:
The first missing number is 4
The second missing number is 1.6
a. Write the cost function:: C(x) = 100x + 100,000 where x is number of guitars
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b. Write the revenue function:: R(x) = 300x where x is number of guitars
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c. Find the profit function.
Profit = Revenue - Cost
P(x) = R(x) - C(x)
P(x) = [ R(x) ] - [ C(x) ]
P(x) = [ 300x ] - [ 100x+100,000 ]
P(x) = 300x - 100x-100,000
P(x) = 200x - 100,000
The break even point is when the profit is 0 dollars. You don't lose any money. And you don't gain any money.
Solve 125x - 100,000 = 0
125x = 100,000
x = 800 (# of guitars made and sold)
Answer:
![\boxed{ \bold{ \huge{ \sf{x = 29}}}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cbold%7B%20%5Chuge%7B%20%5Csf%7Bx%20%3D%2029%7D%7D%7D%7D)
Step-by-step explanation:
![\sf{ - 3(3 + x) + 4(x - 6) = - 4 }](https://tex.z-dn.net/?f=%20%5Csf%7B%20-%203%283%20%2B%20x%29%20%2B%204%28x%20-%206%29%20%3D%20%20-%204%20%7D)
Distribute -3 through the parentheses
Similarly, Distribute 4 through the parentheses
⇒![\sf{ - 9 - 3x + 4x - 24 = - 4}](https://tex.z-dn.net/?f=%20%5Csf%7B%20-%209%20-%203x%20%2B%204x%20-%2024%20%3D%20%20-%204%7D)
Collect like terms
⇒![\sf{x - 9 - 24 = - 4}](https://tex.z-dn.net/?f=%20%5Csf%7Bx%20-%209%20-%2024%20%3D%20%20-%204%7D)
Calculate
⇒![\sf{x - 33 = - 4}](https://tex.z-dn.net/?f=%20%5Csf%7Bx%20-%2033%20%3D%20%20-%204%7D)
Move 33 to right hand side and change it's sign
⇒![\sf{x = - 4 + 33}](https://tex.z-dn.net/?f=%20%5Csf%7Bx%20%3D%20%20-%20%204%20%2B%2033%7D)
Calculate
⇒![\sf{x = 29}](https://tex.z-dn.net/?f=%20%5Csf%7Bx%20%3D%2029%7D)
Hope I helped!
Best regards!!
There are 600 students including the seventh and eighth graders at the party.
This problem uses the concept of percentages to define the conditions that are laid in front of us.
Let the original number of students be S , and the number of seventh graders be = 0.60S
We know that percent is used to convey the mathematical term of a fraction multiplied by 100.
Total students after 20 eighth graders arrive = S + 20
And we have that
Number of seventh graders / total number of students = 58%
.60S / [ S + 20 ] = .58 we multiply both sides by S + 20
0.60S =0 .58 [ S + 20]
.60S = .58S + 11.6 we subtract 0.58S from both the sides
0.02S = 11.6 we divide both the sides by .02
S = 11/6 / 0.02 = 580
So the total number of students = 580 + 20 = 600 .
Hence there are 600 students at the party at that time.
To learn more about students visit:
brainly.com/question/17332524
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