Answer:
96
Step-by-step explanation:
Answer:
Initially, you have 2573 pieces.
You use 5 pieces each minute.
Right when you start, you have 2573 pieces.
One minute after that, you have 2573 - 5 pieces.
Another minute after, you have 2573 - 2*5 pieces.
Another minute after, you have 2573 - 3*5 pieces.
And so on.
You can see the pattern here, and with this, we can find the linear equation that represents the number of pieces that you have as a function of time.
Then, if the variable t represents the number of minutes that passed since you started, we can write the equation:
f(t) = 2573 - 5*t
That represents the number of pieces that you have after t minutes.
<span> 1.01 > 1.0009 ????????</span>
Answer:
250
Step-by-step explanation:
Since you are looking for the amount of shirts he had you will need to divide 25 by .10 or just multiply by 10.
The general form of a solution of the differential equation is already provided for us:

where
. We now want to find a solution
such that
and
. Therefore, all we need to do is find the constants
and
that satisfy the initial conditions. For the first condition, we have:
For the second condition, we need to find the derivative
first. In this case, we have:

Therefore:

This means that we must solve the following system of equations:

If we add the equations above, we get:

If we now substitute
into either of the equations in the system, we get:

This means that the solution obeying the initial conditions is:

Indeed, we can see that:


which do correspond to the desired initial conditions.