Final answer:
The insurance company needs to sell approximately 269 policies to bring in $500,000 a year.
Step-by-step explanation:
To determine how many policies the insurance company needs to sell, we can use the given information. If each of the 100 drivers pays a $1,860 premium each year, the insurance company will collect a total of $186,000. This amount covers the costs of the accidents that occur. To calculate how many policies they need to sell to bring in $500,000 a year, we can use the formula:
Number of policies = Target revenue / Average premium
Number of policies = $500,000 / $1,860
Number of policies = 268.82
Therefore, the insurance company needs to sell approximately 269 policies to bring in $500,000 a year.