Question

56. Carmela’s annual salary in year n can be modeled by the recursive sequence Cn+1 = 1.05 Cn, where C0 = $75,000.

Answer 1

Answer:

In the context of the problem, $75,000 represents Carmela's initial salary.

Step-by-step explanation:

Her salary is modeled by the following function:

$C_{n+1} = 1.05C_{n}$

So

At any time we have a function modeled in this following recursive format:

$C_{n+1) = F(C_{n})$

We have that $C_{0}$ is the initial value of C.

For this problem, we have that C is Carmela's salary. So $C_{0} = 75,000$ is Carmela's initial salary. This means that in the context of the problem, $75,000 represents Carmela's initial salary.