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:
Answer:
18 cups.
Step-by-step explanation:
We are given that Bernie spends $6.50 on ingredients and cups for his lemonade stand. He charges $1.50 for each cup of lemonade. Inequality that represents this situation: .
To find number of cups x to make a profit of at least $20 we will use our given inequality.
Therefore, in order to make a profit of at least $20 Bernie need to sell 18 cups of lemonade.
Answer: D
Explanation:
Point slope form:
(y - y1) = m(x - x1)
Coordinate given = (2,-6)
Slope = 3/5
Thus:
(y -(-6)) = 3/5(x - 2)
y + 6 = 3/5(x - 2)