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Dovator [93]
3 years ago
7

The cost of health insurance is $1,200 per year. The cost of an operation for a dramatic injury is $500,000. The chances of some

one needing such an operation are 47.3% over a twenty year period. From a purely financial point of view, are you better off taking out the insurance or not? Choose the best answer.
Question options: No. The insurance company must make a profit.

Yes. The cost of the insurance is less than the probability cost of the operation

No. The probality of needing the operation is less than 50%.

Yes. Buying insurance is always a good idea.
Mathematics
1 answer:
SIZIF [17.4K]3 years ago
5 0

Answer:

yes. The cost of the insurance is less than the probability cost of the operation

Step-by-step explanation:

yes. The cost of the insurance is less than the probability cost of the operation

The cost of health insurance = $1200

Cost of dramatic injury operation= $500,000

chances of need of operation= 47.3% over a 20 years period

the amount of pay insurance after 20 years= 20\times 1200= 240,00

probable  of cost operation= 0.473*500,00= $236,500

clearly the cost of insurance is less than the probable  cost of operation.

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Homework
Zolol [24]

<u><em>Note:</em></u><em> As you have missed to mention the first four terms of the Arithmetic sequence. So, I am randomly assuming that first four terms of the arithmetic sequence be 1, 3, 5, 7... This would anyhow make you understand the concept. So, I am solving your query based on assuming the first four terms of an Arithmetic sequence as 1, 3, 5, 7...</em>

Part A)

<em><u>What is the next term of this sequence?</u></em>

Answer:

{\displaystyle \ a_{5}=9 is the next term i.e. 5th term of the arithmetic sequence <em>1, 3, 5, 7...</em>

Step-by-step explanation:

Considering the Arithmetic sequence with fist four terms

<em> 1, 3, 5, 7...</em>

As we know that a sequence is termed as arithmetic sequence of numbers if the difference of any two consecutive terms of the sequence remains constant.

For instance, <em> 1, 3, 5, 7... </em>will be an arithmetic sequence having the common difference 2. Common difference is denoted by 'd'.

So,

Given the sequence

<em>1, 3, 5, 7...</em>

d=3-1=2,d=5-3=2

As a_{1} = 1 and d = 2

The next term i.e. 5th term can be found by using the nth term of the sequence.

So, consider the nth term of the sequence {\displaystyle a_{n}

{\displaystyle \ a_{n}=a_{1}+(n-1)d}

Putting n=5 in, a_{1} = 1 and d = 2  in {\displaystyle \ a_{n}=a_{1}+(n-1)d} to find the 5th term.

{\displaystyle \ a_{n}=a_{1}+(n-1)d}

{\displaystyle \ a_{5}=1+(5-1)2}

{\displaystyle \ a_{5}=1+(4)2}

{\displaystyle \ a_{5}=9

So, {\displaystyle \ a_{5}=9 is the next term i.e. 5th term of the arithmetic sequence <em>1, 3, 5, 7...</em>

Part B)

<u><em>Writing down an expression,  in terms of n for the nth term of the sequence</em></u>

consider the nth term of the sequence {\displaystyle a_{n}

{\displaystyle \ a_{n}=a_{1}+(n-1)d}

Here, a_{1} is the first term, d is the common difference.

For example,

Given the sequence

<em>1, 3, 5, 7...</em>

d=3-1=2,d=5-3=2

As a_{1} = 1 and d = 2

The next term i.e. 5th term can be found by using the nth term of the sequence.

So, consider the nth term of the sequence {\displaystyle a_{n}

{\displaystyle \ a_{n}=a_{1}+(n-1)d}

Putting n=5 in, a_{1} = 1 and d = 2  in {\displaystyle \ a_{n}=a_{1}+(n-1)d} to find the 5th term.

{\displaystyle \ a_{n}=a_{1}+(n-1)d}

{\displaystyle \ a_{5}=1+(5-1)2}

{\displaystyle \ a_{5}=1+(4)2}

{\displaystyle \ a_{5}=9

Keywords: arithmetic sequence, nth term, common difference

Learn more abut arithmetic sequence, nth term and common difference from brainly.com/question/12227567

#learnwithBrainly

7 0
3 years ago
Who do y´all think will win today Trump or Biden?
Anit [1.1K]

Answer:

Regaurdless of who ever wins...the world (meaning the US) will got to cr-ap tomorrow unfortuentley on my birthday their will be military on the streets and cops watching everyones every moves..

Trump wins...gunshotss

Biden wins...gunshots

Step-by-step explanation:

Why? because politics has come to the point that if your choice of party didnt win people become babies and throw tantrums on the streets and start riots...watch us start living like Bird Box frrrr

7 0
2 years ago
Don't really understand this
Fofino [41]

Answer:

24 units²

Step-by-step explanation:

In this polygon to find the area you have to split it into 2 shapes. In this case, splitting it into a quadrilateral and a triangle makes the most sense. Let's find the area of the rectangle first. To do that, count the amount of units on the base and height and multiply them. In this case, that would be 4×5 so 20u². Now we have to find the triangle area. We see that the triangle has a right triangle so the formula would be base*height/2. In the picture, we can see that the base is 2 and the height is 4 so we would do 4×2 (8) divided by 2 to get 4u². Now add the rectangle and triangle height to get an answer of 24u² for the area.

6 0
3 years ago
Can the square of an integer be a negative number?
Ede4ka [16]
The square of an integer cannot be negative. A negative number × another negative number is a positive, therefore a negative squared equals a positive.

For example -2^2 = 4
4 0
3 years ago
Explain: How could you use cubes to act out a problem
prisoha [69]
From breaking up the problems and sorting them out
4 0
3 years ago
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