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
32 x 0.05 ( because there are are 32 cans that are worth 5 cents each ) = 160 cents ($1.60)
Then:
10 x 0.20 ( 10 bottles that are worth 20 cents each ) = $2
Then plus them together
Answer = $3.60
Answer:
28 yd²
Step-by-step explanation:
find the two biggest sides
2x4
8 but there are two sides...
8*2= 16
*16*
now side panels
1x4
4 but there are two
4*2= 8
*8*
top and bottom panels
2x1
2 but there are two
2*2= 4
*4*
add them up
16 + 8 + 4= 28
Answer:
To know which is better to pay.
Step-by-step explanation:
Good Luck