Answer:
£159
Step-by-step explanation:
Charles buys 30 packs of pens.
There are 15 pens in each pack.
Each pack costs £2.80.
Charles sells each pen for 90p but he only manages to sell 3/5 of the pens.
How much profit did he make?
Step 1
Charles buys 30 packs of pens.
There are 15 pens in each pack.
The total number of pens in the pack is
30 packs × 15 pens
= 450 pens
Each pack costs £2.80
Hence:
1 pack = £2.80
30 packs = x
Cross Multiply
x = 30 × £2.80
x = £84
Step 2
The total number of pens in the pack is
30 packs × 15 pens
= 450 pens
He only manages to sell 3/5 of the pens
The amount of pens Charlie sells =
3/5 × 450 pens
= 270 pens
Charles sells each pen for 90p
100p = £1
90p = x
Cross Multiply
100 × x = 90 × £1
x = 90/100
x = £0.9
The amount he sells each pen =
1 pen = £0.9
270 pens = x
Cross Multiply
x = 270 pens × £0.9
x = £243
Step 3
The profit that he made is calculated as:
£243 - £84
= £159
Answer:
The first thing we need to do is to find the area bounded by:
y = x^3
y = 0
between:
x = 0 and x = 2
This is the integral of the given function between x = 0 and x = 2, written as:

This means that the area of the bounded region is 4 square units.
Now, if we do a full rotation around the x-axis, the volume generated will be equal to the area that we obtained times 2*pi units.
The volume is:
V = (4 square units)*(2*pi units) = 8*pi cubic units.
(Notice that no option coincides with this, there may be a mistake in the options)
C is the answer
Its equal is 0
Answer:
10 metal and 20 plastic
Step-by-step explanation:
10 x 25 is 250, 20 x 10 is 200 and 250 + 200 is 450