Answer:
The total volume of the water in the tank after 20 minutes = 1220 gallons
Step-by-step explanation:
Rate of water pumped into the tank r (t) = 30 (1 -
)
Initial volume of water in the tank = 800 gallons
The water in the tank after 20 minutes = Initial volume of water in the tank + Volume of water being pumped in the tank

= 
Where a = 0 , b = 20
Put the value of r (t) in above equation we get
= 
= ![30 [ t + \frac{e^{-0.16t} }{0.16} ]](https://tex.z-dn.net/?f=30%20%5B%20t%20%2B%20%5Cfrac%7Be%5E%7B-0.16t%7D%20%7D%7B0.16%7D%20%5D)
= 
= 420 gallon
Now, total volume in the tank



Therefore the total volume of the water in the tank after 20 minutes = 1220 gallons
Answer:
y=1.2x-6
Step-by-step explanation:
place in the points
0=1.2(5)+b
distrubutive property
0=6+b
subtract 6 on both sides
-6=b
y=1.2x-6
Answer:
32 days.
Step-by-step explanation:
56 / 1.75 = 56 / (7/4) = 56 * 4 / 7 = 32.
Answer:
She hiked 1,554 kilometers in all.
Step-by-step explanation:
Let the hiking kilometers for morning be x
Given that:
Hiking kilometers in afternoon = 666
According to given condition that afternoon kilometers are 25% less than morning:
x = 666 + 25% of x
By simplifying:
x = 666 + 0.25x
x - 0.25x = 666
0.75x = 666
Dividing both sides by 0.75 we get:
x = 666/0.75
x = 888 kilometers
She hiked 888 kilometers in morning
And
Total = 888 + 666 =1554 km
i hope it will help you!