Answer:
1/2
Step-by-step explanation:
2/4 is equal to 1/2, because if you divide 4 by 2 you get 2, and if you divide 2 by 2 you get one.
Basically, the simplification process would look something like this...
2/4 ÷ 2/2 = 1/2
Answer: width= 3 inches; length= 12 inches.
Step-by-step explanation:
From the question, the length is 4 times greater than the width.
Let the width of the banner be represented by y.
Since the length is 4 times greater than the width. It will be denoted as:
Length= 4 × y = 4y
Since area= length×width
4y × y = 36
4y^2 = 36
Divide both side by 4
y^2 = 36/4
y^2 = 9
We have to find the square root of 9
y= √9
y = 3
The width is 3 inches.
The length will be: (3×4) = 12 units.
Answer:
![\dfrac{dx(t)}{dt} = kx(t)[1000-x(t)],$ x(0)=0](https://tex.z-dn.net/?f=%5Cdfrac%7Bdx%28t%29%7D%7Bdt%7D%20%3D%20kx%28t%29%5B1000-x%28t%29%5D%2C%24%20%20x%280%29%3D0)
Step-by-step explanation:
Total Number of People on Campus =1000
Let the number of people who have contracted the flu =x(t)
Therefore, the number of people who have not contracted the flu =1000-x(t)
Since the rate at which the disease spreads is proportional to the number of interactions between the people who have the flu and the number of people who have not yet been exposed to it.
![\dfrac{dx(t)}{dt} \propto x(t)[1000-x(t)]](https://tex.z-dn.net/?f=%5Cdfrac%7Bdx%28t%29%7D%7Bdt%7D%20%5Cpropto%20x%28t%29%5B1000-x%28t%29%5D)
Introducing the proportional constant k, we obtain:
![\dfrac{dx(t)}{dt} = kx(t)[1000-x(t)]](https://tex.z-dn.net/?f=%5Cdfrac%7Bdx%28t%29%7D%7Bdt%7D%20%3D%20kx%28t%29%5B1000-x%28t%29%5D)
At t=0, there was no infected on the campus, therefore the initial condition is given:

Therefore, a differential equation for the number of people x(t) who have contracted the flu is:
![\dfrac{dx(t)}{dt} = kx(t)[1000-x(t)],$ x(0)=0](https://tex.z-dn.net/?f=%5Cdfrac%7Bdx%28t%29%7D%7Bdt%7D%20%3D%20kx%28t%29%5B1000-x%28t%29%5D%2C%24%20%20x%280%29%3D0)
Answer:
sorry that was my brother
Answer:
Anna will need to deposit 
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above and solve for P