Answer:
Step-by-step explanation:
y - 2 = -2(x - 3)
y - 2 = -2x + 6
y = -2x + 8
4.2% of 50 is 2.1
So 2.1 is your answer
Answer: D: s∈ (-∞, 3]
Step-by-step explanation:
When we have a function:
y = f(x)
The domain is the set of the possible values we can input in f(x).
In this case, we have:
y = √(3 - s)
Where our variable is s.
So we want to find the possible values of s we can input in that function.
Remember that if y is a real number, then we can not have a negative number inside the square root, because it will lead to an complex solution.
Then the argument of the square root needs to be equal to or larger than zero.
This means that:
3 - s ≥ 0
From this inequality, we can find the possible values of s, which will be the domain.
We need to isolate s.
3 ≥ s
This means that s needs to be smaller than or equal to 3.
Then the domain is:
D: s∈ (-∞, 3]
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The capacity of the metal tank is 
The duration usage is 
The cost of 2000-gallon tank 15 years ago is 
The capacity of the second tank considered is 
The power sizing exponent is 
The initial construction cost index is 
The new construction after 15 years cost index is 
Equation for the power sizing exponent is mathematically represented as
![\frac{P_n}{P} = [\frac{C_1}{C} ]^{e}](https://tex.z-dn.net/?f=%5Cfrac%7BP_n%7D%7BP%7D%20%3D%20%5B%5Cfrac%7BC_1%7D%7BC%7D%20%5D%5E%7Be%7D)
=> Here 
is the cost of 5,000-gallon tank as at 15 years ago
So
![P_n = [\frac{5000}{2000} ] ^{0.57} * 100000](https://tex.z-dn.net/?f=P_n%20%20%3D%20%20%5B%5Cfrac%7B5000%7D%7B2000%7D%20%5D%20%5E%7B0.57%7D%20%2A%20100000)
Equation for the cost index exponent is mathematically represented as
Here
is the cost of 5,000-gallon tank today
So
=> 
=>
