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.
30% of $1.50 is 0.45 and if it's on sale you subtract from original price
so 1.50 - 0.45
and your answer would be $1.05
What the question?
Or picture
Answer:
2x=10
Step-by-step explanation:
7x-14=21
x=5
2x=10 (divide both sides by two)
2x/2 10/2
<u>x=5</u>
The perimeter of the triangle is 10. Hope this helps and Brainliest would be appreciated
