Rachit borrowed 15000 from his friend . He gave 3000 at the rate of 15% per annum and the remaining amount at the rate of 18% pe
1 answer:
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Answer:
Step-by-step explanation:
First of all we need to know when does two events become independent:
For the two events to be independent, that is if condition on one does not effect the probability of other event.
Here, in our case the only option that satisfies the condition for the events to be independent is . Rest are not in accordance with the definition of independent events.
Answer:
0.0198 lbs per gallon
Step-by-step explanation:
amount of salt free water = 500 gallons
salt rate in = 1 gal/min
salt rate out = 1 gal/min
amount o salt in brine = 0.25 lb per gallon
Let the amount of salt in the tank be A(t) at any time t.
salt rate in = 0.25 x 1 = 0.25
salt rate out =
The differential equation is given by
where, A(0) = 0
So, the equation becomes
Here the integrating factor is
The solution of the above differential equation is given by
where, C is the integrating constant.
Put, A(0) = 0
C = - 500
As concentration is defined as
Concentration = Quantity / Volume
Now concentration at t = 10 min
Put, t = 10 min
C (10) = 0.0198 lbs per gallon
Thus, teh concentration after 10 min is 0.0198 lbs per gallon.