Answer:
How much they make = 20,000
Expenses = 15,000
Profit = 5,000
Step-by-step explanation:
Well this question isn't very clear since it didn't state what the original cost for one iphone is. I think they are assuming one iphone to be 200 dollars or the sold amount, but this information is not directly stated. Anyways....
How much they make 100x200 = 20,000
Expenses 100(200-50) = 15,000
Profit 20,000 - 15,000 = 5,000
The y-intercept is 50 ft. The balloon falls at a rate of 50 ft per minute.
The y-intercept is 1000 ft. The balloon begins to from an initial height of 1000 ft.
The slope is -50 ft per minute. The balloon is falling at 50 ft per minute.
It will take the balloon 20 minutes to reach the ground.
Answer:
The correct options are 3, 4 and 5.
Step-by-step explanation:
It is given that an air balloon begins it's decent to the ground at 1000 ft above the ground and falls at a rate of 50 ft per minute.
It means the initial height of air balloon is 1000. So, the y-intercept is (0,1000).
The ball falls at a rate of 50 ft per minute. So, the rate of change is
The height of balloon is defined as
Where, x is time in minutes.
The balloon will reach the ground when h(x)=0
Therefore the options 3, 4 and 5 are correct.
Answer: Arturo is 14 years
Benny is 17 years
Carlos is 10 years
Step-by-step explanation:
Let x represent the age of Arturo.
Let y represent the age of Benny.
Let z represent the age of Carlos.
The sum of the ages of Arturo, Benny, and Carlos is 41 years. It means that
x + y + z = 41- - - - - - - - - - - - -1
Twice Arturo's age exceeds the sum of Benny and Carlos's ages by one year. It means that
2x = y + z + 1- - - - - - - - - 2
Five years ago, Benny was 2 years more than twice as old as Carlos. It means that
y - 5 = 2(z - 5) + 2
y - 5 = 2z - 10 + 2
y = 2z - 8 + 5
y = 2z - 3
Substituting y = 2z - 3 into equation 2, it becomes
2x = 2z - 3 + z + 1
2x = 2z + z - 3 + 1
2x = 3z - 2
x = 3z/2 - 1
Substituting y = 2z - 3 and
x = 3z/2 - 1 into equation 1, it becomes
3z/2 - 1 + 2z - 3 + z = 41
Multiplying through by 2, it becomes
3z - 2 + 4z - 6 + 2z = 82
3z + 4z + 2z - 2 - 6 = 82
9z - 8 = 82
9z = 82 + 8 = 90
z = 90/9
z = 10
x = 3z/2 - 1 = (3 × 10)/2 - 1
x = 14
y = 2z - 3 = 2 × 10 - 3
y = 17
Answer:
Additive property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.
and (4, 0)
(–5, 0) and (2, 0)
(–2, 0) and (5, 0)
The x-intercepts of the given function are (2.5, 0) and (-4, 0)
From the question, we are to determine the x-intercepts of the given function
The given function is
f(x) = –2x² – 3x + 20
To determine the x-intercepts of the function, we will determine its zeros
That is, we would solve
0 = –2x² – 3x + 20
This can be rewritten as
2x² + 3x - 20 = 0
Solve by factoring
2x² + 8x - 5x - 20 = 0
2x(x + 4) -5(x + 4) = 0
Then,
(2x - 5)(x +4) = 0
2x - 5 = 0 OR x +4 = 0
2x = 5 OR x = -4
x = 5/2 OR x = -4
x = 2.5 OR x = -4
Hence, the x-intercepts of the function are (2.5, 0) and (-4, 0)
Learn more on Solving quadratic equations here: brainly.com/question/14490818
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