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babunello [35]
4 years ago
5

An automotive insurance company has 25,000 policyholders. The accident rate is 0.07.

Mathematics
1 answer:
DiKsa [7]4 years ago
3 0

An automotive insurance company has 25,000 policyholders. The accident rate is 0.07. The number of accidents the company will have to pay out for is (1)____.

25,000*.07

1750

Answer: C. 1750

 

If the payout for each claim (after deductibles) is $8,000, the company’s total payouts will amount to $ (2)_____.

8000*1750

Answer: 14,000,000

Not included in the choices

 

If the company wants to keep a profit margin of 8%, the premium it must charge is $(3)_____.

Answer: D. 604.8 

Let X=premium

25,000(X)-14,000,000=net profit

(25,000X-14,000,000)/25,000X=.08

X=608.7

Nearest answer is D. 604.8 

The company can set aside a maximum amount of $(4)_____ for this year’s investments.

<span>Answer: D. 1,120,000
25,000*604.8-14,000,000</span>

15120000-14,000,000

1,120,000<span>

</span>

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