Math Problem Statement

Carmen Viers lost everything to a fire and has spent the last eight weeks living in a motel room at a cost of ​$4 comma 597. Her​ dwelling, which was destroyed as a result of a lightning​ strike, was insured with an​ HO-2 policy for ​$357 comma 791. Prior to the​ loss, her home was valued at ​$392 comma 000​, her detached garage and poolhouse were valued at ​$50 comma 687​, and her personal property had an actual cash value of ​$142 comma 261. To make matters worse she sustained​ $10,000 in injuries while trying without success to save her three Greyhound dogs valued at​ $6,000 each. How much of her total losses and expenses will be reimbursed if she has a​ $1,000 deductible? Question content area bottom Part 1 The amount of total losses and expenses she will be reimbursed if she has a​ $1,000 deductible is ​$

enter your response here.  ​(Round to the nearest​ dollar.)

Solution

To calculate the total amount Carmen will be reimbursed under her HO-2 insurance policy, we'll follow these steps:

1. Dwelling

  • The dwelling (house) was insured for $357,791, but the value before the fire was $392,000.
  • Since the dwelling was insured for $357,791, that's the maximum amount she can be reimbursed for the dwelling loss (ignoring depreciation, which isn't mentioned).

2. Detached Garage and Poolhouse

  • The detached garage and poolhouse were valued at $50,687.
  • HO-2 policies typically cover 10% of the dwelling amount for "other structures" (garage and poolhouse), which would be 10% of $357,791 = $35,779. Thus, she can claim $35,779.

3. Personal Property

  • The personal property was valued at $142,261 (actual cash value).
  • HO-2 policies generally cover personal property at the actual cash value (since it's specifically mentioned here).

4. Loss of Use (Living Expenses)

  • Carmen spent $4,597 for eight weeks of living in a motel due to the fire.
  • Most HO-2 policies cover "loss of use" expenses, which include temporary living costs. Therefore, she can claim $4,597 for living expenses.

5. Injuries and Dogs

  • She sustained $10,000 in injuries and lost three dogs valued at $6,000 each (total $18,000).
  • Personal injury coverage under HO-2 policies generally applies to liability claims, so Carmen likely won't be reimbursed for her own injuries.
  • Pets are usually not covered under standard HO-2 policies, so her loss of the dogs will also likely not be reimbursed.

6. Deductible

  • The deductible is $1,000, which will be subtracted from the total reimbursed amount.

Summary of Covered Losses:

  1. Dwelling: $357,791
  2. Detached Garage/Poolhouse: $35,779
  3. Personal Property: $142,261
  4. Living Expenses: $4,597

Total before Deductible:

357,791+35,779+142,261+4,597=540,428357,791 + 35,779 + 142,261 + 4,597 = 540,428

Subtract the Deductible:

540,4281,000=539,428540,428 - 1,000 = 539,428

Final Reimbursement:

539,428\boxed{539,428}

Thus, Carmen will be reimbursed $539,428 for her losses and expenses.

Would you like further details or have any other questions?


Here are 5 related questions:

  1. What items are typically not covered by a standard HO-2 policy?
  2. How do insurance companies determine the actual cash value of personal property?
  3. What are the benefits of upgrading to an HO-3 policy?
  4. How is "loss of use" coverage calculated in homeowners' insurance policies?
  5. How does the deductible affect insurance reimbursements for large losses?

Tip: Consider reviewing your insurance policy to ensure that pets or unique items are adequately covered, as standard homeowners' policies often exclude certain valuables.

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Math Problem Analysis

Mathematical Concepts

Insurance Coverage Calculation
Deductible Subtraction
HO-2 Policy Limits

Formulas

Reimbursement = Covered Losses - Deductible
Maximum Coverage for Detached Structures = 10% of Dwelling Insurance
Total Losses = Dwelling Loss + Detached Structures + Personal Property + Living Expenses

Theorems

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Suitable Grade Level

Grade 10-12