Answer:
The quantity of water drain after x min is 50
Step-by-step explanation:
Given as :
Total capacity of rain barrel = 50 gallon
The rate of drain = 10 gallon per minutes
Let The quantity of water drain after x min = y
Now, according to question
The quantity of water drain after x min = Initial quantity of water × ![(1-\dfrac{\textrm rate}{100})^{\textrm time}](https://tex.z-dn.net/?f=%281-%5Cdfrac%7B%5Ctextrm%20rate%7D%7B100%7D%29%5E%7B%5Ctextrm%20time%7D)
I.e The quantity of water drain after x min = 50 gallon × ![(1-\dfrac{\textrm 10}{100})^{\textrm x}](https://tex.z-dn.net/?f=%281-%5Cdfrac%7B%5Ctextrm%2010%7D%7B100%7D%29%5E%7B%5Ctextrm%20x%7D)
or, The quantity of water drain after x min = 50 gallon × ![(0.9)^{x}](https://tex.z-dn.net/?f=%280.9%29%5E%7Bx%7D)
Hence the quantity of water drain after x min is 50
Answer
For the first day we have the following function:
f (n) = (0.3 * 10) n + 8
For the second day we have the following function:
f (n) = (0.4 * 10) n + 5
You spent the same amount of money as the day before:
(0.3 * 10) n + 8 = (0.4 * 10) n + 5
3n + 8 = 4n + 5
n = 8-5
n = 3 items
We evaluate each function for n = 3
f (3) = (0.3 * 10) * 3 + 8 = 17 $
f (3) = (0.4 * 10) * 3 + 5 = 17 $
The total amount of money is:
17 + 17 = 34 $
Answer:
you purchase 6 items
you spend at the craft store during the sale $ 34
The total number of produced details increased by 6.4%
suppose the starting number was x.
suppose x=100
100 +12%= 112
112-5%=106.4
106.4-100=6.4
6.4%
The answer to this would be 34.5
1 inch → 265 feet
23.25 inches → 265 x 23.25 = 6161.25 feet
Answer: 6161.25 feet