Nate starts a lawn-mowing business. In his business, he has expenses and revenue. Nate's expenses are the cost of the lawn mower and gas, and his revenue is $25 per lawn

The question is incomplete. The complete question is :

Nate starts a lawn-mowing business. In his business, he has expenses and revenue. Nate's expenses are the cost of the lawn mower and gas, and his revenue is $25 per lawn. At what point will Nate's revenue exceed his expense?

Cost of lawn mower = $ 200

Cost of gasoline = $ 2 per lawn

Solution :

Given :

Cost of the lawn mower = $ 200

The cost of gasoline expense for one lawn = $ 2

The revenue generated for one lawn = $ 25

So let the number of lawn to be mowed = x

Therefore the total expenses =

So, the total revenue =

The point for which the revenue will exceed the total expenditure will be :

So at

Thus the revenue exceeds the total expenditure after mowing 9 number of lawns.

step-by-step explanation:

the figure is a concave pentagon.

step-by-step explanation:

in mathematical context, a pentagon is a flat, two-dimensional closed shape (polygon) with 5 straight sides and 5 angles.

now a pentagon is said to be concave if one or more corners bend inwards and at least one of its angles is 180 degrees or more than 180 degrees.

in the given figure, we can see that we have a corner which is bending inwards and an angle which is clearly greater than 180°. therefore, it is a concave pentagon.