Answer:
12 months in a year
6 is half a month so we're going off of 6 months.
So:
821*0.15= 123.15
821- 123.15= 697.85
697.85*0.15= 104.6775
697.85-104.6775= 593.1725
593.1725*0.15= 88.975875
593.1725-88.975875= 504.196625
504.196625
*0.15= 75.62949375
504.196625- 75.62949375= 428.56713125
428.56713125*0.15= 64.2850696875
428.56713125-64.2850696875
= 364.282061562
364.282061562*0.15= 54.6423092344
364.282061562-54.6423092344
= 309.639752328
So its 310 fish.
3 gallons per second
Or
1/3 second per gallon
Just do 150 gal over 50 seconds
Or reverse it to 50 sec over 150 gallons
So you get 3 gallons occur each 1 second or the it takes 1/3 of a second for each 1 gallon to flow
Answer:26 is the answer I think
Step-by-step explanation:
Answer:
It will take about 35.49 hours for the water to leak out of the barrel.
Step-by-step explanation:
Let
be the depth of water in the barrel at time
, where
is measured in inches and
in hours.
We know that water is leaking out of a large barrel at a rate proportional to the square root of the depth of the water at that time. We then have that

where
is a constant of proportionality.
Separation of variables is a common method for solving differential equations. To solve the above differential equation you must:
Multiply by

Multiply by 

Take integral

Integrate

Isolate 

We know that the water level starts at 36, this means
. We use this information to find the value of
.


At t = 1, y = 34

So our formula for the depth of water in the barrel is

To find the time,
, at which all the water leaks out of the barrel, we solve the equation

Thus, it will take about 35.49 hours for the water to leak out of the barrel.