Jackson earned $59,630.00 of taxable income last year. If the federal income tax rate was 24%, then how much federal income tax
1 answer:
You might be interested in
Answer:
a)
b)
Step-by-step explanation:
By definition, we have that the change rate of salt in the tank is , where
is the rate of salt entering and
is the rate of salt going outside.
Then we have, , and
So we obtain. , then
, and using the integrating factor
, therefore
, we get
, after integrating both sides
, therefore
, to find
we know that the tank initially contains a salt concentration of 10 g/L, that means the initial conditions
, so
Finally we can write an expression for the amount of salt in the tank at any time t, it is
b) The tank will overflow due Rin>Rout, at a rate of , due we have 500 L to overflow
, so we can evualuate the expression of a)
, is the salt concentration when the tank overflows