Given, there are an average of 150 citizens eat daile in the cafeteria.
The average price of their meals = $5.95.
The discount given for sinior citizens in their meals = 20%
So we have to find 20% of $5.95 first.
20% of $5.95 = 
= 
= 
= 
So, the amount of discount given to the senior citizens = $1.19 per head.
As there are 150 cinior citizens daily.
So total discount given daily = $
=$
So we have got the required answer.
Option C is correct here.
Hello from MrBillDoesMath!
Answer: 500
Discussion:
The idea is to represent p(x) with a squared component...
3 + 4x - 4x^2 =
3 - ( 4x^2 - 4x) =
Add and subtract 1:
(3+1) - (4x^2-4x +1) =
4 - (2x-1)^2
To maximize profit we need to minimize the term (2x-1)^2 as it is always positive (or zero) and subtracts from the number 4. The minimum of (2x -1)^2 occurs when 2x -1 = 0 or x = 1/2. Since x is the number of speakers in thousands, (1/2)x = 500 speakers.
Note: this problem can be more easily addressed in a Calculus course by taking the first derivative of p(x), setting it to zero, and solving for x (which yields x = 1/2 too)
Thank you,
MrB
First, when Yana opened her saved paper, she opened an existing Word file and edited its content. Then she edited her work and continued.
Second, when Yana began writing a new paper, she opened a blank Word file and began writing her paper and saved and edited her work.
She is practicing the skill of opening, creating, saving a Word file. <span />
x² + 13x - 30 = 0
first, to factor this, we need to find 2 numbers, that when added, equal 13. These same numbers must also multiply to equal -30
15 and -2 fit this criteria.
15 + -2 = 13
15 x -2 = -30
now we can put these numbers in place of 13 in our equation
x²-2x+15x-30=0
now we take the common value of the fist 2 numbers and place it on the outside. we do the same with the last 2 numbers.
x(x-2) +15(x-2) = 0
notice how the numbers in parentheses are the same. we can now take the outside numbers and have them with the numbers in parentheses.
(x+15)(x-2) = 0
this is the factored form.
if you needed to find x, you take the numbers that would make one of the parentheses equal 0
so x = -15, 2
hope this helps
The area is 81.25 m².
We find the area using the formula
A = 0.5*p*a, where p is the perimeter and a is the apothem.
Since this is a regular polygon, the perimeter is given by 10s, where s is the side length. This gives us:
A = 0.5(10s)(a) = 0.5(10*3.25)(5) = 81.25
