I believe the answer would be D. Because, 10*12= 120 and 400/120= 3.33
Since you are talking about money, you would round up.
Meaning that the answer should be D.
Answer:

Step-by-step explanation:
The 5th term of the arithmetic sequence is 53. We can write the equation:

The 6th term of the arithmetic sequence is 62. We can write the equation:

Subtract the first equation from the second one to get:


The first term is




The 38th term of the sequence is given by:



Answer:
Step-by-step explanation:
It looks like the ODE is

with the initial condition of
.
Rewrite the right side in terms of the unit step function,

In this case, we have

The Laplace transform of the step function is easy to compute:

So, taking the Laplace transform of both sides of the ODE, we get

Solve for
:

We can split the first term into partial fractions:

If
, then
.
If
, then
.


Take the inverse transform of both sides, recalling that

where
is the Laplace transform of the function
. We have


We then end up with

Either to mirror, or to copy.