Auto insurance options offered by aa auto insurance are outlined in the table below.  what monthly payment would you expect for an insurance policy through aa auto insurance with the following options? bodily injury:   $25/50,000 property damage:   $25,000 collision:   $250 deductible comprehensive:   $100 deductible a. $43.23 b. $46.10 c. $54.85 d. $64.44  

In this exercise we have to use the knowledge of finance to calculate the monthly amount of insurance, so the best alternative that represents this amount is:

Option C

In this exercise we want to calculate the monthly insurance payment amount, so from the given values we find:

Substituting the values in the formula given above we find that:

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k = 1

P(t) = (t + 20)²

Step-by-step explanation:

P' = k√P = k P⁰•⁵

To solve for k,

P' = 10 rabbits/month

P = 100 rabbits

10 = k √100

10 = 10k

k = 1

To solve for P(t)

P' = dP/dt

(dP/dt) = kP⁰•⁵

dP/P⁰•⁵ = k dt

P⁻⁰•⁵ dP = k dt

∫ P⁻⁰•⁵ dP = ∫ k dt

2P⁰•⁵ = kt + c

At t = 0, P = 100

2(100)⁰•⁵ = 0 + c

2 × 10 = c

c = 20

2P⁰•⁵ = kt + c

2P⁰•⁵ = kt + 20

Recall, k = 1

2P⁰•⁵ = t + 20

P⁰•⁵ = (t + 20)

P(t) = (t + 20)²