9514 1404 393
Answer:
65.6%
Step-by-step explanation:
The question is essentially asking the ratio of the volumes.
Va = πr²h = π(15²)(20)
Vb = πr²h = π(19²)(19)
The ratio of volumes is ...
Va/Vb = π(15²)(20)/(π(19³)) = (15²)(20)/19³ ≈ 0.65607
Container B will be about 65.6% full when container A is empty.
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
No he cannot bc 61 is an odd number
Suspecting that his parents are going to give him $1,300 continually you would solve like this
$120,000-$100= $19,900
$19,900/$1,300= 92.23
92.23 is the amount of $1,300 donations it would take from his parents, so if he was getting $1,300 month it would take 92.23 months