Answer:
y'(t) = k(700,000-y(t)) k>0 is the constant of proportionality
y(0) =0
Step-by-step explanation:
(a.) Formulate a differential equation and initial condition for y(t) = the number of people who have heard the news t days after it has happened.
If we suppose that news spreads through a city of fixed size of 700,000 people at a time rate proportional to the number of people who have not heard the news that means
<em>dy/dt = k(700,000-y(t)) </em>where k is some constant of proportionality.
Since no one has heard the news at first, we have
<em>y(0) = 0 (initial condition)
</em>
We can then state the initial value problem as
y'(t) = k(700,000-y(t))
y(0) =0
Answer: 12%
Step-by-step explanation:
Original amount = Rs 1550
VAT = Rs 1736 - Rs 1550 = Rs 186
VAT rate = VAT/Original amount × 100
= 186/1550 × 100
= 18600/1550
= 12%
Therefore, the VAT rate is 12%.
Check:
= Rs 1550 + (12% × Rs 1550)
= Rs 1550 + $186
= Rs 1736
Answer:
4x - 20
Step-by-step explanation:
Combine like terms (those with the same amount of variables:
x + x + x + x = 4x
4x - 20 => Note: You cannot combine these two terms, because they do not have the same amount of variables (one having one variable (x), the other being a constant (no variable) ).
~
Answer:
The quantity of ground meat he use for hamburgers is 2 
pounds
Step-by-step explanation:
Given as :
The total quantity of ground meat bought to make hamburgers = 2 
Or, The total quantity of ground meat bought to make hamburgers = 
pound
The quantity of ground meat left after use = 
pound
Now, let The quantity of ground meat used for hamburgers = x pound
So, x = The total quantity of ground meat bought - The quantity of ground meat left
Or, x = pound - pound
Or, x = 
pound
I.e x = 
∴ x = 2 pounds
Hence The quantity of ground meat he use for hamburgers is 2 pounds . Answer
