Answer:
10%
Step-by-step explanation:
Given: CP of lemon is $600.
3/4 of lemon sold at 20% loss
Remaining lemon at 20% gain.
Considering the quantity of lemon remain constant.
Cost price of 3/4 of lemon= 
As given, 3/4 of lemon sold at 20% loss.
∴ Selling price of 
Selling price= 
Hence, selling price of 3/4 lemon is $360.
Now, the cost price of remaining lemon 
∴ The cost price of
As given, remaining 
∴ Selling price of 
Selling price of 
Hence, selling price of 1/4 lemon is $180
Loss\profit percent= 
∴ Loss\profit percent= 
Hence, the loss percentage is 10%
Answer:
Step-by-step explanation:
x=2,x-2=0
x=8
x-8=0
y=(x-2)(x-8)=x²-2x-8x+16=x²-10x+16
=x²-10x+25-25+16
=x²-10x+25-9
y=(x-5)²+9
axis of symmetry is x-5=0 or x=5
X = -3, y = 2 rise over run
Assuming that the figures given are square such that the scale factor between them is equal to 28/8 which can be further simplified into 7/2. The ratio of the perimeter is also equal to this value, 7/2. However, the ratio of the areas is equal to the square of this value giving us an answer of 49/4.
Answer:

Step-by-step explanation:
So we have the indefinite integral:

This is the same thing as:

So, let's do integration by parts.
Let u be (ln(x))². And let dv be (1)dx. Therefore:

Simplify:

And:

Therefore:

The x cancel:

Move the 2 to the front:

(I'm not exactly sure how you got what you got. Perhaps you differentiated incorrectly?)
Now, let's use integrations by parts again for the integral. Similarly, let's put a 1 in front:

Let u be ln(x) and let dv be (1)dx. Thus:

And:

So:

Simplify the integral:

Evaluate:

Now, we just have to simplify :)
Distribute the -2:

And if preferred, we can factor out a x:

And, of course, don't forget about the constant of integration!

And we are done :)