Abuilding contractor is to dig a foundation 50 feet long, 20 feet wide and 10 feet deep. the contractor pays $15 per load for trucks to remove the dirt. each truckload holds 5 cubic yards of dirt. what is the cost to have all the dirt hauled away?

$1111.11        

Step-by-step explanation:

We have been given that a building contractor is to dig a foundation 50 feet long, 20 feet wide and 10 feet deep.

Let us find the volume of the dirt dig from the foundation.  

Since, 1 cubic feet= 0.037037 cubic yards. Let us convert volume of dirt dig into cubic yards by multiplying 10,000 by 0.037037.

Now let us find how many truckload will hold 370.3704 cubic yards of dirt by dividing 370.3704 by 5.

Now let us multiply number of truckloads by 15 to find the total cost to haul away all the dirt.

Therefore, the cost to have all the dirt hauled away is $1111.11.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

its line 2 i just added the rest or else it wouldn't let me answer