Answer:
y = 9/b
Step-by-step explanation:
by = 9 solved for b yields y = 9/b.
Volume of A= πR².H ==> V(A)=4π m³
Volume of V =πR².H ==>V(B)=8π m³
.Ratio of A to B =(4π) /(4π) = 1/2
June: 30-6=24
July: 31
August:31
September:30
October: 8
Total=24+31+31+30+8=124 days
Discount period:
The period of time between the date a bill of exchange is drawn and the date on which payment is due.
So discount period = 200-124=76 days
Answer: Let's assume that the pig pens need to be fenced in the way shown in the diagram above.
Then, the perimeter is given by
4
x
+
3
y
=
160
.
4
x
=
160
−
3
y
x
=
40
−
3
4
y
The area of a rectangle is given by
A
=
L
×
W
, however here we have two rectangles put together, so the total area will be given by
A
=
2
×
L
×
W
.
A
=
2
(
40
−
3
4
y
)
y
A
=
80
y
−
3
2
y
2
Now, let's differentiate this function, with respect to y, to find any critical points on the graph.
A
'
(
y
)
=
80
−
3
y
Setting to 0:
0
=
80
−
3
y
−
80
=
−
3
y
80
3
=
y
x
=
40
−
3
4
×
80
3
x
=
40
−
20
x
=
20
Hence, the dimensions that will give the maximum area are
20
by
26
2
3
feet.
A graphical check of the initial function shows that the vertex is at
(
26
2
3
,
1066
2
3
)
, which represents one of the dimensions that will give the maximum area and the maximum area, respectively.
Hopefully this helps!
Step-by-step explanation: hope this helps
