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2 answers:
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Answer:
Rob saved $24 on Saturday.
Step-by-step explanation:
Given:
Rob is saving to buy a new MP3 player.
Money earned in baby sitting = $11
Money saved =$6
First we will find the Percentage of amount he saved.
Percentage of amount he saved can calculated by Amount saved divided by total money earned and then multiplying by 100.
framing in equation form we get;
Percentage of amount he saved =
Now Given:
Money earned in babysitting on Saturday = $44
We need to find the Money he saved on Saturday.
Money Saved can be calculated by Percentage of amount he saved multiplying by Money earned in babysitting on Saturday and then divided by 100.
framing in equation form we get;
Money Saved on Saturday =
Hence Rob saved $24 on Saturday.
Answer:
Where 0 < x < 3
The location of the local minimum, is (2, 0)
The location of the local maximum is at (0, 16)
Step-by-step explanation:
The given function is f(x) = (x + 2)⁴
The range of the minimum = 0 < x < 3
At a local minimum/maximum values, we have;
∴ (-x + 2)³ = 0
x = 2
When x = 2, f''(2) = -12×(-2 + 2)² = 0 which gives a local minimum at x = 2
We have, f(2) = (-2 + 2)⁴ = 0
The location of the local minimum, is (2, 0)
Given that the minimum of the function is at x = 2, and the function is (-x + 2)⁴, the absolute local maximum will be at the maximum value of (-x + 2) for 0 < x < 3
When x = 0, -x + 2 = 0 + 2 = 2
Similarly, we have;
-x + 2 = 1, when x = 1
-x + 2 = 0, when x = 2
-x + 2 = -1, when x = 3
Therefore, the maximum value of -x + 2, is at x = 0 and the maximum value of the function where 0 < x < 3, is (0 + 2)⁴ = 16
The location of the local maximum is at (0, 16).