Answer:
B. Fₙ₊₁ = Fₙ - 0.15Fₙ + 5
Step-by-step explanation:
The options above are examples of recurrence relations where the present state Fₙ₊₁ is dependent on the previous state Fₙ.
For each year that a customer does not file a claim, their rate is reduced by 15%
Fₙ-(15% of Fₙ)= Fₙ-0.15Fₙ
A credit of $5 is also awarded, therefore:
Fₙ - 0.15Fₙ + $5
Therefore If a customer did not file a claim in the nth year, the customer's rate in the (n + 1)th year as a function of their rate in the nth year is given by:
Fₙ₊₁ = Fₙ - 0.15Fₙ + 5
Assuming your original expression was 3√(27x¹⁸), the answer is 9x⁹√(3).
We split up the radicand into perfect squares. Once we do, we take out the things that were squared:

Answer:
$5x + $7y ≥ $220
Step-by-step explanation:
Total Fees = $220
Total income is $5x plus $7y
Income = $5x + $7y
We want the total income to be equal to, or greater than, $220:
$5x + $7y ≥ $220