6a. By the convolution theorem,

6b. Similarly,

7. Take the Laplace transform of both sides, noting that the integral is the convolution of
and
.


where
. Then
, and

We have the partial fraction decomposition,

Then we can easily compute the inverse transform to solve for f(t) :


Ok so x is the original price and we want to solve if the original price was 48 so x=48. When we substitute this into the equation we get 0.75(48)-0.15(0.75x48). When we simplify this expression we get 30.6. The current price is $30.60. Hope this helps.
Yes you are right! There is much more balance in the left than in the right!
Answer:
all of them
Step-by-step explanation:
all of them seem to have the same marks
but if u get the question wrong my next bet would be to go with only C because it has the marks on the sides if that makes sense