Answer:
The next term of the given geometric sequence is -12.
Step-by-step explanation:
Given that,
A geometric sequence,
To find,
The next term of the geometric sequence.
Solution,
We have,
First term,
Common ratio,
The next term of the sequence is :
So, the next term of the given geometric sequence is -12.
Reference,
We are given that ratio of cars Sam has built to cars Tyrone has built is 3:4.
Let us assume that Sam built cars and Tyrone built
.
Since we are given that total number of cars they built is 42. Therefore, we can set up:
Therefore, Sam built cars and Tyrone built
cars.
so the company has an overhead of $600, usually that involves premises leasing and industrial equipment for the manufacturing of the product, that's cost. The cost to make each item is 50 cents, so if the company produces "x" items, their cost is 0.5x total.
so our cost equation C(x) = 0.5x + 600 <---- items' cost plus overhead.
the company sells the product for 85 cents, so if they sell "x" items, their total revenue or income will be 0.85x.
so our revenue equation is simply R(x) = 0.85x.
as you already know, the break-even point is when.... well, you break even, no losses but no gains either, how much you take in is the same amount that you shelled out, namely R(x) = C(x).