Decrease £390 by 10%
1 answer:
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Answer:
x = 0.53 cm
Maximum volume = 1.75 cm³
Step-by-step explanation:
Refer to the attached diagram:
The volume of the box is given by
Let x denote the length of the sides of the square as shown in the diagram.
The width of the shaded region is given by
The length of the shaded region is given by
So, the volume of the box becomes,
In order to maximize the volume enclosed by the box, take the derivative of volume and set it to zero.
We are left with a quadratic equation.
We may solve the quadratic equation using quadratic formula.
The quadratic formula is given by
Where
Volume of the box at x= 1.59:
Volume of the box at x= 0.53:
The volume of the box is maximized when x = 0.53 cm
Therefore,
x = 0.53 cm
Maximum volume = 1.75 cm³
Answer:
√5/6
Step-by-step explanation:
Answer: He still owns 64% of the Mr.Williams' original parking.
Step-by-step explanation:
Let x = Area of the original parking plot.
First he sold 20% of his lot to neighbor .
Sold plot = 20% of x = 0.20x [Replace 'of' by '×' and divide number by 100 to remove %]
Reminder= x-0.20x= (1-0.20)x=0.80x
Again he sold 20% of the remainder .
Sold plot = 20% of (0.80x) = 0.20 (0.80x)
= 0.16x
Remainder plot = 0.80x-0.16x= 0.64x
Percent of Mr.Williams' original parking lot does he still own =
Hence, he still owns 64% of the Mr.Williams' original parking.