Answer:
Length of the rectangle = 9.58 feet and width = 27.14 foot
Step-by-step explanation:
Let the length of the rectangular area is = x feet
and the width of the area = y feet
Area of the rectangle = xy square feet
Or xy = 260
y =
-------(1)
Cost to fence the three sides = $3 per foot
Therefore cost to fence one length and two width of the rectangular area
= 3(x + 2y)
Similarly cost to fence the fourth side = $14 per foot
So, the cost of the remaining length = 14x
Total cost to fence = 3(x + 2y) + 14x
Cost (C) = 3(x + 2y) + 14x
C = 3x + 6y + 14x
= 17x + 6y
From equation (1)
C = 
Now we take the derivative,
C' = 17 - 
To minimize the cost of fencing,
C' = 0
17 -
= 0
= 17


x = 9.58 foot
and y =
y = 27.14 foot
9514 1404 393
Answer:
The decimal point moves 4 places to the right
Step-by-step explanation:
Take a simple case using the whole number 3.
3. — whole number we're starting with
3.×10^4 = 3.×10,000 = 30,000. — multiplied by 10^4
The decimal point moves 4 places to the right.
_____
<em>Additional comment</em>
Multiplying be a positive power of 10 moves the decimal point a number of places equal to that power. Effectively, the number of zeros added on the right is equal to the power of 10. Above, you will notice multiplying by 10^4 added 4 zeros to the right of the number.
9514 1404 393
Answer:
11 1/9%
Step-by-step explanation:
1/9 × 100% = (100/9)% = (11 1/9)%