Answer:
dA / dt = 6 - A (t) / 100
600
Step-by-step explanation:
We have to:
dA / dt = In - Out
Input = input salt concentration * input rate of brine
replacing
Inlet = 2 lb / gal * 3 gal / min = 6 lb / min
there is no build up because the inlet flow equals the outlet, so there are 300 gallons in the tank at the start
Output: salt concentration at the output * output rate of brine
replacing
Output: A (t) / 300 * 3 gal / min = A (t) / 100
Thus:
dA / dt = 6 - A (t) / 100
this would be the differential equation.
now, when time tends to infinity, we would be left with:
100 * dA / dt = 600 - A (t)
When t tends to infinity, A (t) tends to 0, therefore, the amount of salt would be 600.
Answer:
23. $ 62.76 to the nearest cent
$63.00 to the nearest dollar
24. $ 38.42 to the nearest cent
$38.00 to the nearest dollar
Step-by-step explanation:
When we round to the nearest cent we round the second number after the decimal. We look at the third number after the decimal. If it is 5 or above we round up.
When we round to the nearest dollar, we round the number befroe the decimal. We look at the number after the decimal. If it is 5 or above we round up.
23. $62.756 we round the 5 so we look at the 6 6>= 5 so we round up
$ 62.76 to the nearest cent
$62.756 we round the 2 so we look at the 7 7>= 5 so we round up
$63.00 to the nearest dollar
24. $38.415 we round the 1 so we look at the 5 5>= 5 so we round up
$ 38.42 to the nearest cent
$38.415 we round the 8 so we look at the 4 4< 5 so we leave alone
$38.00 to the nearest dollar
Y = -2x + 6
I think this is it
Answer:
The solution is y> -1
Step-by-step explanation:
y- 6 > -7
y> -7+6 (add 6 on both sides)
y> -1
The graph should the the first option from the right, with the dot above -1.
Since y is greater than -1, the dot should be on -1 and the arrow should be pointing towards the right. It shouldn't be a coloured dot because the sign is 'greater than' (>) not 'greater or equal to' (≥)
