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Katyanochek1 [597]
4 years ago
7

Brian wants to buy a motorcycle and is planning to get motorcycle insurance. Suppose the average accident rate is 0.1, and the a

verage expenses incurred on accidents is $38,000. The insurance plan has a yearly premium of $1,000 and a deductible of $4,000.
If after 4 years of insuring 100 people, 9 motorcycle drivers had an accident, where does the company stand after money has been taken in and paid out for this group of 100 insured people?

$85,500
-$36,000
$94,000
$58,000
Mathematics
2 answers:
TEA [102]4 years ago
6 0
It's $94,000
 
1,000 X 100 X 4 = 400,000

Stolb23 [73]4 years ago
3 0

Answer:

The correct option is $94,000

Step-by-step explanation:

Yearly premium under the insurance plan = $1,000

Total premium from single motorcycle driver in 4 years = $1,000 * 4 = $4,000

Number of people insured = 100

Total premium collected from 100 motorcycle drivers = $4,000 * 100 = $400,000

Average expenses incurred on accident = $38,000

Deductible = $4,000

Net expenses incurred per accident = $38,000 - $4,000 = $34,000

In 4 years , 9 motorcycle drivers had an accident

Total expenses incurred for accident = $34,000 * 9 = $306,000

Net savings of Insurance Company = total premium - total expenses = $400,000 - $306,000 = $94,000

Hope it helps.

Thank you !!

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(x +y)(x-y), ifx= -3, y=-5
Rufina [12.5K]

Answer:

-16

Step-by-step explanation:

(-3 + (-5))(-3 - (-5))

(-3 - 5)(-3 + 5)

(-8)*2

<u>-16</u>

5 0
3 years ago
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When solving for x, what is x squared plus 15 equals -8x
VLD [36.1K]

Answer:

x = - 5, x = - 3

Step-by-step explanation:

Given

x² + 15 = - 8x ( add 8x to both sides )

x² + 8x + 15 = 0 ← in standard form

Consider the factors of the constant term (+ 15) which sum to give the coefficient of the x- term (+ 8)

The factors are 5 and 3, since

5 × 3 = 15 and 5 + 3= 8, thus

(x + 5)(x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x + 3 = 0 ⇒ x = - 3

5 0
3 years ago
Use the theoretical method to determine the probability of the following event. A randomly selected person has a birthday in Nov
MakcuM [25]

Answer:

There is an 8.22% probability that a randomly selected person has a birthday in November.

Step-by-step explanation:

The theoretical method to find the probability is the division of the number of desired outcomes by the number of total outcomes.

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There are 365 days in a year, so the number of total outcomes is 365.

There are 30 days in november, so the number of desired outcomes is 30.

So the probability is

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There is an 8.22% probability that a randomly selected person has a birthday in November.

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4x%20-%201%7D%7B2%7D%20%20%3D%20x%20%2B%207%20%5C%5C%20" id="TexFormula1" title="
AlekseyPX

Answer:

x=\frac{15}{2}=7.5

Step-by-step explanation:

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8 0
3 years ago
Given the following system of equations: 2x + 6y = 12 4x + 3y = 15 Which action creates an equivalent system that will eliminate
Charra [1.4K]

Option A and B are correct.

Step-by-step explanation:

We are given the following systems of equation:

2x + 6y = 12 \\4x + 3y = 15

We need to identify the action creates an equivalent system that will eliminate one variable when they are combined.

Checking the options:

a) Multiply the second equation by −2 to get −8x − 6y = −30

If we add equation(1) and the new equation(2) the variable y will be eliminated. So, this is the correct option.

b)  Multiply the first equation by 2 to get 4x + 12y = 24.

If we subtract new equation(1) and equation(2), the variable x will be eliminated. So, this is the correct option.

c) Multiply the second equation by −4 to get −16x − 12y = −60

By adding or subtracting, none of the variable is eliminated. So, it is not the correct option.

d) Multiply the first equation by −4 to get −8x − 24y = −48.

By adding or subtracting, none of the variable is eliminated. So, it is not the correct option.

So, Option A and B are correct.

Keywords: Solve System of equations

Learn more about solving system of equations at:

  • brainly.com/question/6075514
  • brainly.com/question/2115716
  • brainly.com/question/13168205

#learnwithBrainly

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