Let the length be x and the width be y
the perimeter of the rectangle will be:
2x+2y=376
thus
y=188-x
thus the area will be:
A(x)=x(188-x)
A(x)=188x-x^2
For maximum Area A'(x)=0
from Area we shall have
A'(x)=188-2x=0
solving for x we get:
x=94
thus the width will be:
188-94=94
thus for maximum area the length=94 ft and width=94 ft
Area=94*94=8836 ft^2
thus the answer is:
<span>c. 94 x 94; 8836ft </span>
Answer: The term 0.040(30h) represents the amount of tax she must pay.
Explanation:
The functin 0.04(30h) + 30h, has two terms; the second term, 30h, represents cost due to h hours at at unit of 30, and the first term 0.04(30h) is the additional amount due to the taxes over h hours at the unit rate of 30.
When you add a tax rate of 4% to 30h, you get the the amount of taxes over the 30h.
The calcualtion is: (4/100)×(30h) = 0.04(30h). Hence, you conclude that 0.04(30h) is the amount of tax she must pay.
