The answer would be 25.65
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:
Skeptics
Step-by-step explanation:
my aunt is one and have a nice day :)
Answer:
at least $1,050,000
Step-by-step explanation:
Deandre's salary will be ...
12000 + 0.06·sales
He wants that to be at least 75000, so the sales must meet the requirement ...
12000 + 0.06·sales ≥ 75000
0.06·sales ≥ 63000 . . . . . . . . . . . . subtract 12000
sales ≥ 63000/0.06 . . . . . . . . . . . .divide by 0.06
sales ≥ 1,050,000 . . . . . . . . . . . . . .evaluate
He will need to have at least $1,050,000 in total sales to have a yearly income at least $75,000.
Answer:
14x - 6
Step-by-step explanation:
P = 2(length + width)
P = 2(6x - 2 + x - 1) = 2(7x - 3) = 14x - 6
