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makkiz [27]
3 years ago
8

Each month Elizabeth budgets $760 for fixed expenses, $620 for living expenses, and $80 for annual expenses. Her annual net inco

me is $32,580. Which sentence best describes her monthly budget?
A. It shows a deficit of $1255
B. It shows a surplus of $1255
C. It shows a surplus of $1460
D. It is balanced
Mathematics
2 answers:
vichka [17]3 years ago
8 0

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Amount she spent on fixed expenses = $760

Amount she spent on living expenses = $620

Amount she spend for annual expenses = $80

Total expenditure will be

760+620+80\\\\=\$1460

Her annual net income = $32580

So, Her monthly net income will be

\frac{32580}{12}=\$2715

So, we can see that her income is more than her expenses.

So, she yield surplus.

Surplus = Revenue - Expenditure

=2715-1480\\\\=\$1255

Hence, It shows a surplus of $1255.

Hence, Option 'C' is correct.

Lostsunrise [7]3 years ago
6 0
760+620+80=1460 total monthly expenses.
$32,580 annually divided by 12 months = monthly income of $2,715
2,715-1460=1,255
Her budget shows a surplus of $1,255

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And we can find this probability on this way:

P(-1

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Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

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Solution to the problem

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

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Where \mu=16 and \sigma=4

We are interested on this probability

P(12

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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P(12

And we can find this probability on this way:

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5 0
3 years ago
6x + 7y = 1<br> 8x – 3y = 25<br> Solve me fast explainly
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Answer:

{x,y} = {89/37,-71/37}

Step-by-step explanation:

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 [2]    x = 3y/8 + 25/8

Plug this in for variable  x  in equation [1]

  [1]    6•(3y/8+25/8) + 7y = 1

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Solve equation [1] for the variable  y  

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  [1]    y = - 71/37

By now we know this much :

   x = 3y/8+25/8

   y = -71/37

Use the  y  value to solve for  x  

   x = (3/8)(-71/37)+25/8 = 89/37

5 0
3 years ago
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