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Rachel has \(\$ 25,000\) worth of property damage insurance. She causes \(\$ 32,000\) worth of damage to a sports car in an accident. a. How much of the damages will the insurance company have to pay? b. How much will Rachel have to pay?

Short Answer

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a. The insurance company will have to pay \$25000. b. Rachel will have to pay \$7000.

Step by step solution

01

Calculate the Insurance Company’s Responsibility

The insurance company will pay up to the limit of Rachel's insurance policy. Rachel's insurance provides \$25000 in coverage for property damage. Therefore, the insurance company will be responsible for paying \$25000.
02

Calculate the Amount Rachel Has to Pay

Now, the total damage caused to the sports car is \$32000. As the insurance company is covering \$25000, we subtract this amount from the total damage. So, Rachel's responsibility \$32000 - \$25000 = \$7000.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Property Damage Coverage
Property Damage Coverage is an integral part of an auto insurance policy. This coverage helps pay for damages to another person's property if you are at fault in an accident. In Rachel's case, she had property damage coverage worth \(\\( 25,000\). This means that the insurance company agrees to cover any damage, up to that limit, that she may cause to another person's car or property during an accident.
If the damage exceeds the coverage limit, like in Rachel’s scenario where the total damages amount to \(\\) 32,000\), Rachel will only be compensated up to her coverage limit by her insurance. Therefore, it’s crucial to always consider potential scenarios when choosing the amount for this coverage. Having adequate coverage can significantly reduce personal financial risk in case of serious accidents. It’s important to note:
  • This coverage does not apply to damages to your own car.
  • It only kicks in when you are liable.
  • Selecting higher coverage limits can provide more financial protection.
Liability in Accidents
Understanding Liability in Accidents is important when dealing with insurance claims. Liability insurance is a mandatory part of auto insurance, which covers damages for which the policyholder is considered liable.
In Rachel’s accident, she is considered liable because she caused the damage. As a result, her property damage coverage is utilized to pay for the sports car's damages. With such coverage:
  • The insurance pays up to the limit when the policyholder is at fault.
  • Being "liable" means your actions caused the accident or contributed to it.
  • Liability insurance is divided into property damage and bodily injury coverage.
Ensuring comprehensive liability coverage is crucial because it defines how much financial protection you have in cases where you're at fault in an accident.
Insurance Policy Limits
Insurance Policy Limits are the maximum amounts your insurance company will pay in the event of a claim. These limits are established when you purchase your insurance policy and can dictate how much protection you truly have should an accident occur.
In the exercise example, Rachel's policy limit for property damage coverage is \(\$ 25,000\). Therefore:
  • The insurance will cover up to this limit, regardless of the total damage cost.
  • Damages exceeding this amount become the policyholder's responsibility.
  • It is wise to choose a policy limit that reflects potential risks on the road.
Having adequate insurance policy limits can help avoid significant out-of-pocket expenses if you're involved in an accident where the damages exceed the existing coverage level.

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