https://file.aiquickdraw.com/mathbot/file/17272129821855ngwno96.jpg

Based on the image you provided, let's calculate the expenses for each scenario described:

### For Part (b)
- **Insurance Policy Deductible**: $300 per claim
- **Claims**: $540 and $1400
- **Annual Premium**: $780

#### Calculations:
1. **For a $540 claim**:
   - Since the claim is less than the deductible, the insurance pays nothing.
   - Out of pocket: $540

2. **For a $1400 claim**:
   - The deductible is $300, so the insurance pays $1400 - $300 = $1100.
   - Out of pocket: $300

Adding the annual premium for two years:
- **Total Premium**: $780 * 2 = $1560

**With Insurance**:
- Total cost for two years: $1560 (premium) + $300 (deductible for $1400 claim) + $540 (full amount for $540 claim) = $2400

**Without Insurance**:
- Total cost for two years: $540 (first claim) + $1400 (second claim) = $1940

Thus, with the insurance policy, the person would pay **$2400**, and without the insurance policy, the person would pay **$1940**.

Would you like more details or have any other questions about this? Here are some additional topics you might be interested in:
1. How does a deductible influence the total cost of insurance over time?
2. What are the benefits of having a higher deductible on an insurance policy?
3. How do insurance companies calculate premiums based on deductible amounts?
4. What are the typical annual premiums for car insurance with varying levels of coverage?
5. How do different claims within a single year affect the total cost for the insured?

**Tip**: Always consider the frequency of claims you might make when choosing a deductible amount to ensure it is cost-effective for your particular situation.

A person has a car insurance policy with a $300 deductible provision (per claim) for collisions. During a two-year period, the person files claims for $540 and $1400. The annual premium for the policy is $780. With the insurance policy, the person would pay ___. Without the insurance policy, the person would pay ___.

This problem involves calculating the total cost for a person with and without a car insurance policy. The insurance policy includes a $300 deductible and claims of $540 and $1400 over a two-year period. It covers key math concepts such as addition and subtraction, with formulas to find total costs.

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