Answer:
388,500 Dollars
Step-by-step explanation:
This is a problem which can be solved by using sequences.
The total number of days is 30. Let us say n=30
Now we see that for each day that passes by there is decrease in s by a quantity equal to 200
for example s(1) = 29000-200(1) = 28800
&
s(2) = 29000-200(2) = 28600
So difference between s(1) and s(2) = 200 let us call it d
For such a decreasing arithmetic sequence we can use the following formula to sum up all the spaced used over 30 days:
[tex]sum = \frac{t}{2} (2s(1) + (t-1)d)[/tex]
where s(1) = 28800
t=30
d= -200 (since it is decreasing)
Putting the above in the equation we get
Total space used = 777,000 Cubic Feet
Price per 10 cubic feet = 5 Dollars
Total Price = (777,000*5)/10 = 388,500 USD
