Answer:
Step-by-step explanation:
The nth term of the given arithmetic sequence is
The first term of this series is:
The last term of this series is when
The sum of the first n terms of an arithmetic series when the first an last term is known is given by:
Where a=5 is the first term and l=27 is the last term.
Answer:
The profit will be maximum on x = 250.
Step-by-step explanation:
From the given information:
Revenue = 1500x - x²
Cost = 1500 + 1000x
As we know that
Profit = Revenue - Cost ; Let say it equation 1
Then after putting the values of revenue and cost in equation 1 we have:
Profit = (1500x - x²) - (1500 + 1000x)
Profit = 1500x - x² - 1500 - 1000x
Profit = -x² + 500x - 1500
We know that at the max or min the slope of the graph formed by the profit function will be zero, therefore we find the slope of profit function by taking the first derrivative w.r.t. x as under:
d(Profit)/dx = d/dx(-x² + 500x - 1500)
d(Profit)/dx = -2x + 500
By putting the above slope equal to zero we get:
d(Profit)/dx = -2x + 500 = 0
-2x + 500 = 0
-2x = -500
x = 250
Therefore it is concluded that the profit will be maximum when x will be equal to 250.
Answer:
2
Step-by-step explanation:
-(-1) + (-7) + (2) - (-4) - (-2) =
= 1 + (-7) + 2 + 4 + 2
= -6 + 2 + 4 + 2
= -4 + 4 + 2
= 0 + 2
= 2
you divide 12 by 25 which is 0.48 and multiply it by 48 and the answer is 48%
Answer: there were 12 chocolates in each box. (Originally, before any got eaten)
Step-by-step explanation: let x represent the total amount of chocolates in each box.
8x - 3(8) = 72
8x - 24 = 72 add 24 to both sides
8x = 96 divide both sides by 8
X = 12
