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:
5/8
Step-by-step explanation:
F(x) stands for a function, and if x stands for the number of days, than she can do 225 per day, which would be the multiplication to find the toatl 225x.
Then, with 45 extra, we add that to the equation:
F(x) = 225x + 45
Answer: F(x) = 225x + 45
Credit to: @2Educ8
+ = <3
Answer: 9) K ||| 10) H
9) This is because at first the probability is 5/14 but once we take one red out we have to account for that so the probability the second time will be 4/13
10) Ming=2/5 Tyrel=5/8
If ming plays 200 they can expect to win (2/5 x 200) = 80
If tyrel plays 200 they can expect to win (5/8 x 200) = 125
To find how how many more tyrel will win than ming just do 125 - 80 = 45
Hope this helps :)
