Answer:
0=0
Step-by-step explanation:
B and C make sense to me.
Answer:
125
Step-by-step explanation:
f(1)= the first time (32,000)
n= 9
r= .5 (each term is being mulitplied by .5 to get the next one
We have
32,000*(.5)^(9-1)
32,000*(.5)^8
=125
Lets say, for ease, that the vat can hold a total of 70 gallons (or whatever you would like to use.) Use whatever number you want, I just picked this because it gives us a lot of clean numbers.
Now, if the inlet can fill it in 7 hours, that means that it is adding 10 gallons per hour. (70 gal/7 hours = 10 gal/hr)
For the outlet, use the same process, and you find that it drains the vat at 7 gallons per hour.
So, if you subtract the outlet from the inlet, you get 10 - 7 = 3 gallons per hour added.
Now just divide the size of the vat by that number, and you find your answer.
70 gallons / 3 gallons per hour = 23 1/3 hours.
