Answer:
b~ 32
Step-by-step explanation:
Answer:
A(t) = 300 -260e^(-t/50)
Step-by-step explanation:
The rate of change of A(t) is ...
A'(t) = 6 -6/300·A(t)
Rewriting, we have ...
A'(t) +(1/50)A(t) = 6
This has solution ...
A(t) = p + qe^-(t/50)
We need to find the values of p and q. Using the differential equation, we ahve ...
A'(t) = -q/50e^-(t/50) = 6 - (p +qe^-(t/50))/50
0 = 6 -p/50
p = 300
From the initial condition, ...
A(0) = 300 +q = 40
q = -260
So, the complete solution is ...
A(t) = 300 -260e^(-t/50)
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The salt in the tank increases in exponentially decaying fashion from 40 grams to 300 grams with a time constant of 50 minutes.
Answer: 5%
Step-by-step explanation:
The number of employees that took Winter vacation = 75%
The number of employees that took Both winter and summer vacation = 40%
The number that took Neither = 20
The total number of employees (%) =Winter + Summer - Both + Neither = 100%
75%+ Summer - 40%+ 20%= 100%
Solving for Summer = 45%
Now we are interested in the employees that took summer but not winter = Summer only = Summer - Both(i.e. summer overlap with winter) = 45%-40%= 5%
cylinder but which grade is this?
