Answer: option a. A customer earns 1 free night per 10 nights stayed.
Explanation:
Building a table can help you:
x: number of nigths stayed ---------- f(x) = 1/x: number of free nights
10 --------------------------------------------- 10/10 = 1
20 -------------------------------------------- 20/10 = 2
30 -------------------------------------------- 30/10 = 3
40 -------------------------------------------- 40/10 = 4
Then, the pattern permits you to conclude that a customer earns 1 free night per each 10 nights stayed, which is the option a.
Answer:
Step-by-step explanation:
When the interest compounds continuously, our formula is

If we start with 10000 and are looking for how long, t, it takes to double, we are looking for how long it will take for our account to have 2 times 10000. That's 20000. Therefore, our equation is

Divide both sides by 10000 to get

Take the natural log of both sides to "undo" that e:

Again, since ln and e undo each other what we have now is
ln(2) = .11t and
so
t = 6.3 years
Side angle side ( it forms a vertical angle )
y = x^2+5x-6 is the answer.