Answer:
2599.50
Step-by-step explanation:
7500 - 2(2450.25) = 2599.50
-1/3+2z=-5/6
-2/6+2z=-5/6
Add 2/6 to both sides:
2z=-3/6
2z=-1/2
Divide both sides by 2
z=-1/4
Hope this helps :)
Answer:
a . 1/13
Step-by-step explanation:
Answer:
okay here goes.
Step-by-step explanation:
1. slope = -5 and y-intercept is (0,6)
2. slope = 3 and y-intercept is (0,-2)
3. -2 and (0,-4)
4. 8 and (0,1)
5. 5 and (0,-3)
6. -3 and (0,-9)
7. 7 and (0,2)
8. -1 and (0,6)
9. -4 and (0,7)
10. -6 and (0,-8)
11. 8 and (0,-5)
12. 9 and (0,3)
You owe me. That took a long time to write.
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.
