An insurance company has a merit rating system for customers who have not filed a claim in the previous year. For each year that a customer does not file a claim, their rate is reduced by 15%, and a credit of $5 is awarded. If a customer did not file a claim in the nth year, which equation shows the customer's rate in the (n + 1)th year as a function of their rate in the nth year? A. F(n + 1) = f(n) - 0.15f(n) - 5 B. F(n + 1) = f(n) - 0.15f(n) + 5 C. F(n + 1) = f(n) - 0.15f(n) - 10 D. F(n + 1) = f(n) + 0.15f(n) - 5

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

answer:

the position of equilibrium will shift to the left.

step-by-step explanation:

the general equation for the dissociation of a weak base is

b + h₂o   ⇌   bh⁺ + oh⁻

according to le châtelier's principle, when a stress is applied to a system at equilibrium, the system will respond in a way that tends to relieve the stress.

if you apply a stress by adding more bh⁺ or oh⁻,   the system will respond by moving in a direction that gets rid of the added ions.

the position of equilibrium will shift to the left, forming more of the undissociated base.

answer: c.  

step-by-step explanation:

mixtures containing substances that get attracted to magnet can be separated using a magnet. we can separate iron from a mixture of sand and iron, as only iron attracts to the magnet.