Given cost function is
c(x) =
(20 ≤ x ≤ 400)
where x is the number of thousands of square feet
total revenue will be $0.2 million dollars per thousand square feet
Revenue is 0.2 millions per thousand square feet. we know x is the number of thousand of square feet
So R(x) = 0.2x
We know Profit = Revenue - Cost
P(x) = R(x) - C(x)
![P(x) = 0.2x - (2.1 + 0.12x - 0.0001x^2)](https://tex.z-dn.net/?f=P%28x%29%20%3D%200.2x%20-%20%282.1%20%2B%200.12x%20-%200.0001x%5E2%29)
![P(x) = 0.2x - 2.1 - 0.12x + 0.0001x^2)](https://tex.z-dn.net/?f=P%28x%29%20%3D%200.2x%20-%202.1%20-%200.12x%20%2B%200.0001x%5E2%29)
combine like terms
![P(x) =-2.1 + 0.08x + 0.0001x^2](https://tex.z-dn.net/?f=P%28x%29%20%3D-2.1%20%2B%200.08x%20%2B%200.0001x%5E2)
Profit function is
![P(x) =0.0001x^2 + 0.08x - 2.1](https://tex.z-dn.net/?f=P%28x%29%20%3D0.0001x%5E2%20%2B%200.08x%20-%202.1)
Answer:
15th term =29/3
16th term = 31/3
Step-by-step explanation:
Given an arithmetic sequence with the first term a1 and the common difference d , the nth (or general) term is given by an=a1+(n−1)d .
First we find the 15th term
n=15
a1=1/3
d=1 - 1/3 = 2/3
Solution
1/3+(15-1)2/3
1/3+28/3
(1+28)/3
29/3
Lets find the 16th term
1/3+(16-1)2/3
1/3+30/3
(1+30)/3
31/3
Negative , you always put the biggest numbers value at the end
Hello from MrBillDoesMath
Answer: SAS, the second choice
Discussion:
The sides with a single "tick mark" in each triangle have the same length.
The sides with two "tick marks" in each triangle have the same length.
Finally the angle shown in each triangle is the same.
Hence we have congruence by S(ide)-A(ngle)-S(ide) which is the second bullet point from the top of the list.
Thank you,
Mr. B