Answer:
<em>Proof below</em>
Step-by-step explanation:
<u>Exponential Grow Model</u>
The equation to model some time dependant event as an exponential is
Where Ao is the initial value, k is a constant and t is the time. With the value of Ao and k, we can compute the value of A for any time
We are required to find the time when the population being modeled doubles from Ao to 2 Ao. We need to solve the equation
Simplifying by Ao
Taking logarithms in both sides
By properties of logarithms and since lne=1
Solving for t
Hence proven
Answer:
slope = - 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (4, - 1)
m = 
= -
Answer:
a = -3
Step-by-step explanation:
-2(a-3)=12
distribute the -2 to the terms in the paranthesis
-2a + 6 = 12
minus 6 both sides
-2a = 6
divide -2 both sides to isolate a
a = -3
I hope this was helpful (:
Answer:
The appropriate alternative hypothesis if he wanted to substantiate his suspicion would be 
Step-by-step explanation:
At the null hypothesis, we test that the mean is equal to a certain value.
At the alternate hypothesis, we test that the mean is different, less than or more than the mean value tested at the null hypothesis.
The historical U.S. mean unemployment insurance benefit was reported to be $238 per week.
This means that the null hypothesis is:
A researcher in the state of Virginia anticipated that sample data would show evidence that the mean weekly unemployment insurance benefit in Virginia was above the national level.
This means that the alternate hypothesis is:
Ok then what is the right answer
