Answer:
27
Step-by-step explanation:
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:
£113.1
Step-by-step explanation:
The price of an iPod is reduced in a sale from £200 to £145.
The price of the iPod is further decreased by 22% two months later. Find the new price.
The above question is solved below:
We are to find the new price.
The percentage decrease = 22%
Hence:
£ 145 × 22% = £31.9
The new price is:
£145 − £31.9 = £113.1
Answer:
The blank would be 64 and the answer would be 16
Step-by-step explanation:
Because we are looking for 25% of something, we simply multiply .25 by whatever that number is. So we start with
.25 * ________
And then we put the number in
.25 * 64 = 16
Answer:
15 scarves
Step-by-step explanation:
CROSS MULTIPLICATION METHOD
5 YARDS = x
⅓ YARDS = 1 scarves
⅓x = 5
x = 5×3
x = 15