Awarehouse charges its customers 5 dollars per day for every 10 cubic feet for space used. suppose the number of cubic feet a company uses on day t is given by s(t)=29000−200t. find how much the company pays for 30 days.

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:

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

the answer is: the length is 5/6 yards.

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step-by-step explanation: