Answer:
Step-by-step explanation:
Given that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 4 gal/min, and when the solution is well stirred, it is then pumped out at the same rate.
Let Q(t) be the quantity of salt at time t.
Q(0) = 70 pounds
Inflow of water = outflow = 4 gal/min
So resulting volume of tank at time t = 400 gallons
Rate of change of salt = inflow - outflow
= 0 - 
i.e. 
This is a variable separable equation
Use when t =0 Q = 70
A =70
So A(t) = Q(t) = 
and
A(0) = Q(0) = 70 lbs.
Answer:
Eliminate redundant parentheses
(
−
5
)
=
1
−
5
=
1
Divide both sides of the equation by the same term−
5
=
1
-5x/-5 = 1/-5
Simplify
Cancel terms that are in both the numerator and denominator
-5x/-5=1/-5 x=1/-5
Divide the numbers
x=-1/5
Step-by-step explanation:
ANSWER x=-1/5
If Stuart starts with -$54.19 then gains $70.82, you have to add the gained amount to the origin amount. Since the origin amount is negative, you can also subtract the origin amount from the gained amount to find the amount left at the end of the month.
Add 70.82 to -54.19
-54.19 + 70.82 = 16.63
<u>Alternative method:</u>
First, subtract 54.19 from 70.82.
70.82 - 54.19 = 16.63
Add 54.19 to -54.19, bringing you to 0.
-54.19 + 54.19 = 0
Now add the remaining 16.63.
0 + 16.63 = 16.63
<h2>Answer:</h2>
<u>Stuart will have </u><u>$16.63</u><u> at the end of this month.</u>
