Answer: to maximize profit the management must continue charging $40 per room because it will obtain a profit of $1,920 better than $1,870 if it rises the rate.
Step-by-step explanation:
<u>Profit without the increase</u>
60 (number of rooms) * $40 (rate per room) = $ 2,400
costs of day to service = 60 (rooms) * $8 (costs day to service)= $480
Total Profit = $2,400 - $480 = $1,920
<u>Profit with the increase</u>
55 (5 fewer than before) * 42 (rate with the increase) = $ 2,310
costs of day service 55 (rooms) * 8 ( costs day to service) = $440
Total Profit = $2,310 -$440 = $1,870
Answer and Step-by-step explanation:
If the radius is 5, then we can plug 5 into the area of a circle equation.
A = 
A = 
A = 25
<u>The area of a circle with radius 5 is 25</u>
<u>.</u>
<em><u>#teamtrees #PAW (Plant And Water)</u></em>
<h2>
Explanation:</h2>
In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.
So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.
So let's name the vertices as:

First pair of opposite sides:
<u>Slope:</u>

Second pair of opposite sides:
<u>Slope:</u>

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

So the diagonals measure the same, therefore this is a rectangle.
Answer:
The given fraction
reduces to 
Step-by-step explanation:
Consider the given fraction 
We have to reduce the fraction to the lowest terms.
Consider numerator 
We can take x² common from both the term,
Thus, numerator can be written as
Given expression can be rewritten as ,

We can now cancel
from both numerator and denominator,


Thus, the given fraction
reduces to 