An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
Approximately 2.81 x 10^21 electrons flow through an electric device delivering a current of 15.0 A for 30 seconds. This is calculated by determining the total charge that flows and dividing it by the charge of a single electron. Understanding this concept is essential for grasping the fundamentals of electric circuits.
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Calculate the monthly premium increase for each insurance coverage option.
Evaluate the coverage increases for options within the $5.00 monthly premium limit.
Compare the coverage increases to determine the best option.
Choose the option that provides the largest coverage increase within the budget: Increase bodily injury coverage to $100/300,000 .
Explanation
Analyzing the Problem Susie is looking to increase her auto insurance limits without increasing her monthly premium by more than $5.00. We need to evaluate the given options and determine which one provides the greatest increase in coverage while staying within the budget.
Calculating Monthly Premium Changes First, let's calculate the monthly premium increase for each option:
Bodily Injury: Increasing from $50/100,000 to $100/300,000.
The annual premium increases from $32.78 to $42.10.
The monthly premium increase is calculated as follows: 12 $42.10 − 12 $32.78 = 12 $42.10 − $32.78 = 12 $9.32 ≈ $0.78
Property Damage:
Increasing from $25,000 to $50,000.
The annual premium increases from $115.50 to $142.44.
The monthly premium increase is: 12 $142.44 − 12 $115.50 = 12 $142.44 − $115.50 = 12 $26.94 ≈ $2.24
Increasing from $25,000 to $100,000.
The annual premium increases from $115.50 to $193.78.
The monthly premium increase is: 12 $193.78 − 12 $115.50 = 12 $193.78 − $115.50 = 12 $78.28 ≈ $6.52
Collision:
Increasing the deductible from $250 to $500.
The annual premium decreases from $343.33 to $248.08.
The monthly premium decrease is: 12 $343.33 − 12 $248.08 = 12 $343.33 − $248.08 = 12 $95.25 ≈ $7.94
Evaluating Coverage Increases Now, let's analyze the changes within the $5.00 monthly premium increase limit:
Bodily Injury: Increasing to $100/300,000 costs approximately $0.78 per month, and increases the bodily injury limit from $100,000 to $300,000.
Property Damage: Increasing to $50,000 costs approximately $2.24 per month, and increases the property damage limit from $25,000 to $50,000.
Property Damage: Increasing to $100,000 costs approximately $6.52 per month, which exceeds the $5.00 limit.
Collision: Increasing the deductible to $500 decreases the monthly premium by approximately $7.94. However, this increases the deductible, which is not an increase in coverage limits.
Determining the Best Option Comparing the options that stay within the $5.00 limit:
Bodily Injury: Increases the bodily injury limit by $200,000 for an additional $0.78 per month.
Property Damage: Increases the property damage limit by $25,000 for an additional $2.24 per month.
The change that increases Susie's limits the most without increasing her monthly premium by more than $5.00 is increasing the bodily injury coverage to $100/300,000.
Final Answer Therefore, the best option for Susie is to increase her bodily injury coverage to $100/300,000. This provides the largest increase in coverage limits (an additional $200,000 in bodily injury coverage) for only $0.78 per month, which is well within her budget.
Examples
When deciding on car insurance, it's important to consider the balance between coverage and cost. For example, increasing your bodily injury coverage might seem expensive, but it could protect you from significant financial losses if you're ever at fault in a serious accident. Similarly, raising your collision deductible can lower your monthly premium, but you'll have to pay more out-of-pocket if you need to make a claim. Understanding these trade-offs helps you make informed decisions that fit your budget and risk tolerance. By analyzing the potential costs and benefits of different coverage options, you can choose a policy that provides adequate protection without breaking the bank. This involves calculating monthly premium changes and comparing coverage increases, similar to the problem Susie faced with her auto insurance.
