A function

is periodic if there is some constant

such that

for all

in the domain of

. Then

is the "period" of

.
Example:
If

, then we have

, and so

is periodic with period

.
It gets a bit more complicated for a function like yours. We're looking for

such that

Expanding on the left, you have

and

It follows that the following must be satisfied:

The first two equations are satisfied whenever

, or more generally, when

and

(i.e. any multiple of 4).
The second two are satisfied whenever

, and more generally when

with

(any multiple of 10/7).
It then follows that all four equations will be satisfied whenever the two sets above intersect. This happens when

is any common multiple of 4 and 10/7. The least positive one would be 20, which means the period for your function is 20.
Let's verify:


More generally, it can be shown that

is periodic with period

.
Answer:
B. $8 profit
Step-by-step explanation:
Loss is negative and profit is positive
Monday : -11
Tuesday: +18
Wednesday: -7
Thursday: +8
------------
+8
We have a profit of 8
Answer:
C
Step-by-step explanation:
If you would recall one of the laws of exponents, when dividing powers of the same base you subtract their exponents. So for this expression:
6⁷ ÷ 6⁵ = 6^(7-5) = 6² =36
Answer: 100 x 2^ t/9
Step-by-step explanation:
The isn’t any pictures attached