The company paid $2000 for the printer
Step-by-step explanation:
Let x be the price of the printer for which the company bought it.
If x is the price of printer, then 25% of x will be the profit made by the company.
That is:
0.25x
According to the statement,
The cost and profit earned by company are equal to 2500
So,

Dividing both sides by 1.25

Hence,
The company paid $2000 for the printer
Keywords: Percentage, Profit
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(a)
![f'(x) = \frac{d}{dx}[\frac{lnx}{x}]](https://tex.z-dn.net/?f=f%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5B%5Cfrac%7Blnx%7D%7Bx%7D%5D)
Using the quotient rule:


For maximum, f'(x) = 0;


(b) <em>Deduce:
</em>

<em>
Soln:</em> Since x = e is the greatest value, then f(e) ≥ f(x) > f(0)


, since ln(e) is simply equal to 1
Now, since x > 0, then we don't have to worry about flipping the signs when multiplying by x.



Taking the exponential to both sides will cancel with the natural logarithmic function in the right hand side to produce:


, as required.
The value of x is 21√2/2
The correct option is (A)
<h3>What is Trigonometry?</h3>
Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.
In triangle having angle 60.
sin 60 = P/ 7√3
√3/2= P/7√3
2P= 21
P= 21/2
Now again
cos 45= 21/2/x
1/√2 = 10.5/x
x= 21√2/2
Learn more about trigonometry here:
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Answer:
= 8
Step-by-step explanation:
The n th term of a geometric sequence is
= a
where a is the first term and r the common ratio
Here a = 8 and r = - 24 ÷ 8 = - 3, thus
= 8
Answer:
20 units
Step-by-step explanation:
The formula for the area:
A = bh × 1/2
B = 8 units
H = 5 units
8 × 5 = 40
40 × 1/2 = 20