Answer:
a) C(x) = 15000/x + 6x +80
b) Domain of C(x) { R x>0 }
Step-by-step explanation:
We have:
Enclosed area = 1500 ft² = x*y from which y = 1500 / x (a) where x is perpendicular to the river
Cost = cost of sides of fenced area perpendicular to the river + cost of side parallel to river + cost of 4 post then
Cost = 10*y + 2*3*x + 4*20 and accoding to (a) y = 1500/x
Then
C(x) = 10* ( 1500/x ) + 6*x + 80
C(x) = 15000/x + 6x +80
Domain of C(x) { R x>0 }
Answer:
Yes, 500 texts.
Step-by-step explanation:
If you write out the equations, you can just set them up equal to each other and simplify.
A = .05x + 20
B = .07x + 10
.05x + 20 = .07x + 10 (subtract 10 from both sides)
.05x + 10 = .07x (subtract .05x from both sides)
10 = .02x (multiply both sides by 50
x = 500 texts
To find the volume,we would first need to find the height of square pyramid, by it's base edge and slant height using Pythagoras theorem:

We can then use the pyramid formula to find the volume:

In this case,the volume will be:
10×_/69×1/3
=27.68874...
≈27.7 units^3
Hope it helps!