Answer:
The differential equation is ![\frac{dx(t)}{dt} = k x(t) [7000 - x(t)]](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%28t%29%7D%7Bdt%7D%20%3D%20k%20%20%20x%28t%29%20%5B7000%20-%20x%28t%29%5D)
Step-by-step explanation:
From the question we are told that
The number of students are 
The number of student that have contracted the flu is x(t)
The number of student that don't have the flu is mathematically represented as

The rate at which the disease spread is proportional to the number of interactions between students with the flu and students who have not yet contracted it, which can be mathematically represented as
![\frac{dx(t)}{dt} \ \ \ \alpha\ \ \ x(t) [7000 - x(t)]](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%28t%29%7D%7Bdt%7D%20%5C%20%5C%20%5C%20%5Calpha%5C%20%5C%20%5C%20%20%20x%28t%29%20%5B7000%20-%20x%28t%29%5D)
=> ![\frac{dx(t)}{dt} = k x(t) [7000 - x(t)]](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%28t%29%7D%7Bdt%7D%20%3D%20k%20%20%20x%28t%29%20%5B7000%20-%20x%28t%29%5D)
Answer:
According to your question, the new balance is $8.27
Step-by-step explanation:
$167.42 - $159.15 = $8.27
Answer:
61.7295 (61.7) miles
If I'm reading this correctly, this is just a simple addition equation. You'd add up 23.4865 and 38.243 to get 61.7295 miles, or 61.7 miles.
Hope I helped! ☺
A ratio is a one or more letter term
Answer:

Step-by-step explanation:
Given:
Two points are given
x = number of minutes
y = length of the lin
⇒ (0, 6)
⇒ (20, 17)
We need to find the equation that represents the relationship between x, y.
Solution:
Using slope formula to find the slope of the equation of the line.

Substitute
= (0, 6) and
= (20, 17) in above equation.

So, slope of the line 
Using point slope formula.
------------(1)
Where, m = slope of the line
Substitute
⇒ (0, 6) and
in equation 1.


Add 6 both side of the equation.


Therefore, the equation that represents the relationship between x and y is written as:
