Answer:
~ 7 years
Step-by-step explanation:
2 = (1 + .1/4)^(4t)
2 = (1.025)^(4t)
Take the log of both sides
log2 = 4t * log1.025
divide both sides by log1.025
log2/log1.025 = 4t
28.07103452593863 = 4t
Divide both sides by 4
7.017758631484657 = t
~ 7 years
The correct answer is x^2-4x-12
Answer:
The answer is the last one.
Step-by-step explanation:
Firstly, look at the first inequality and we get 
, so 
. In the second inequality, we have 
, so 
. Together, we know that the answer is the last one.
Answer:
The rate of change = 3
Initial value = 2
Step-by-step explanation:
The linear function has the form ⇒ y = mx + c
Where m is the slope or the rate of change, and c is y-intercept.
Given: A linear function passes through the point (1,5)and (7,23)
So, m = (y₂-y₁)/(x₂-x₁) = (23-5)/(7-1) = 18/6 = 3
So, y = 3x + c
By substitution with the point (1,5)
So, at x = 1 , y = 5
5 = 3*1 + c
c = 5 - 3 = 2
∴ y = 3x + 2
so, the rate of change = 3
And initial value = 2
initial value is the value at which x = 0 which is the y-intercept
A is the correct answer
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