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

triangle abc is reflected on the line x=-6.5 then reflected again on the x axis

step-by-step explanation:

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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