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Ymorist [56]
2 years ago
13

An insurance company sells a one-year term life insurance policy to an 80-year-old woman. The woman pays a premium of $1000. If

she dies within one year, the company will pay $18,500 to her beneficiary. According to the company's statistics department, the probability that an 80-year-old woman will be alive one year later is 0.9581. Find the expected value of the insurance company's profit.
Mathematics
1 answer:
Gekata [30.6K]2 years ago
7 0

Answer:

The profit of the company will be $224.85

Step-by-step explanation:

Let the equation of profit be termed as E(x)

we are given

amount of purchasing the policy (let a)= $1000

probability that women will live for at least 1  year (let b) = 0.9581

amount lost by insurance company if the women dies (let c) = 18,500-1000 = 17,500

the probability woman dies within one year (let d) = 1-0.9581=0.0419

the equation will be

E(x) of profit= a*b - c*d = 1000*0.9581 - 17500*0.0419

                    = 958.1 - 733.25

                    =  224.85

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Lapatulllka [165]

Answer:

6,000 toothpicks

Step-by-step explanation:

In this question, we are trying to evaluate the number of toothpicks a company must sell to ensure that the money spent on production is exactly equal to revenue from sales.

What we do is this!

Let’s assign a variable to represent the number of tooth picks sold and produced by the company. Let us call this number x.

First, we evaluate the total amount spent on production of x toothpicks. From the question, we can see that the cost of producing a single toothpick is $0.01, hence, to produce x toothpicks, amount spent asides the fixed cost is $0.01 * x = $0.01x

Now, the total cost on production which includes the fixed cost of the company would be $(0.01x + 60). This is the total amount spent to produce the goods.

Now revenue from sales for x toothpicks at $0.02 each is $0.02x

Since we are looking to Breakeven, we equate the costs to the revenue.

0.01x + 60 = 0.02x

0.02x-0.01x = 60

0.01x = 60

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6 0
3 years ago
en un maratòn participan corredores de todos los continentes 5/6 de los corredores son europeos se sabe que los americanos son l
Marysya12 [62]

Usando proporciones, se encuentra que 400 africanos han participado.

En total, hay x participantes.

\frac{5}{6} de los corredores son europeos, o sea:

E = \frac{5x}{6}

Los americanos son la dècime parte de los europeos, o sea:

Am = \frac{1}{10}E = \frac{5x}{60} = \frac{x}{12}

Los africanos son la quinta parte de los americanos, o sea:

Afr = \frac{1}{5}Am = \frac{x}{60}

En la carrera han inscritos 24 000 participantes, o sea, x = 24000. Por eso, la cantidad de africanos es:

Afr = \frac{x}{60} = \frac{24000}{60} = 400

Para obtener más información sobre las proporciones, puedes visitar a brainly.com/question/24615636

8 0
2 years ago
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Answer:

The first option     (5.7km)

Step-by-step explanation:

Since we have a right angle triangle and we know two of its sides we can easily find out the thirds side (the value of d) by using the Pathagoras Theorem. In our case 7 and d are our legs and the hypotenuse is equal to 9, so...

(Based on the Pathagoras Theorem)

c^{2} = a^{2}  + b^{2}

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7 0
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Answer: 12:5

Step-by-step explanation:

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Answer: 10

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=(-5xy)(-2x)

=10x^2y

therefore,the coefficient of the equation is 10.

3 0
3 years ago
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