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.
10.20 x 9 = 91.8
( It's William and nine/eight friends, since they're dividing it among ALL people we count William in. )
A: William and nine friends <span>divided the bill evenly. If each person paid $10.20, what was the total bill?
</span>
10.20 x 10 = 102
B: <span>At a restaurant, William and eight friends divided the bill evenly. If each person paid $10.20, what was the total bill?
10.20 x 9 = 91.8
C: </span><span>At a restaurant, William and nine friends divided the bill evenly. If the total bill was $91.80, what did each person pay?
91.80 x 10 = 918
D: </span><span>At a restaurant, William and eight friends divided the bill evenly. If the total bill was $91.80, what did each person pay?
</span>91.80 x 9 = 826.2
So, your answer is B
Answer:
Step-by-step explanation:
4x + 2x = 90
6x = 90
x = 15
4(15)= 60 for <LMN
2(15)= 30
Hi!
Since there are currently 8 bags on the top shelf, the remaining 25 should divide by 3, and the closest number is 8.
Hope this helps!
If he took x trips last year
3x+1=7
3x=6
x=2
he took 2 trips last year
