Answer:
A) 991=43x+475
B) 12 hours
Step-by-step explanation:
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:the distance to work is 1 mile and you can walk at 4 miles per hour, then you can walk 1 mile in ¼ hr = 15 minutes
Step-by-step explanation:
Dylan,
If the distance to work is 1 mile and you can walk at 4 miles per hour, then you can walk 1 mile in ¼ hr = 15 minutes.
To set up the "equation" think about it this way: (1 mile/ t) = (4 mile/ 1 hr)
so 1/t = 4/1 hr
now multiply both sides by t to get 1 = t·(4/1 hr), next divide both sides by (4/1 hr)
t = 1/(4/ 1 hr) = 1 hr/4 = ¼ hr = 15 min.
40+35.5 = 75.5
49.99 + 8.79 = 58.78
$16.72 profit
Answer:
The value of x is 3/2.
Step-by-step explanation:
Given data in the question:-

We have to find the value x.
Let
be eq(i).
Solving eq (i)

using the properties of the exponents we have
if aⁿ=aˣ
then n=x

Hence the answer is 3/2.