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miv72 [106K]
1 year ago
6

your realized income is $36864/yr. your fixed and housing expenses are 32% and your savings are 15% of your realized income per

month. How much discretionary money do you have, excluding savings, per month?
Mathematics
1 answer:
galben [10]1 year ago
6 0
For this question, you need to find how much money you have left over after taxes and savings (also, discretionary money is income after taxes). They equal to 47%, so you are entitled to 53% of the money. So, 53% of $36864 is $19537.92. But, you are asked to find the income you get per month, so divide $19537.92 by 12, which gets us $1628.16 a month. Hope this helped
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Given that a function, g, has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8, select the st
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Options

  • (A)g(5) = 12
  • (B)g(1) = -2
  • (C)g(2) = 4
  • (D)g(3) = 18

Answer:

(D)g(3) = 18

Step-by-step explanation:

Given that the function, g, has a domain of -1 ≤ x ≤ 4 and a range of                       0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8

Then the following properties must hold

  1. The value(s) of x must be between -1 and 4
  2. The values of g(x) must be between 0 and 18.
  3. g(-1)=2
  4. g(2)=9

We consider the options and state why they are true or otherwise.

<u>Option A: g(5)=12</u>

The value of x=5. This contradicts property 1 stated above. Therefore, it is not true.

<u>Option B: g(1) = -2 </u>

The value of g(x)=-2. This contradicts property 2 stated above. Therefore, it is not true.

<u>Option C: g(2) = 4 </u>

The value of g(2)=4. However by property 4 stated above, g(2)=9. Therefore, it is not true.

<u>Option D: g(3) = 18</u>

This statement can be true as its domain is in between -1 and 4 and its range is in between 0 and 18.

Therefore, Option D could be true.

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What is the midpoint between (-4,4),(-2,2)
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A fruit basket contains oranges and grape fruits. One-third of the oranges and one-fourth of the grapefruits were spoiled. You t
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So if 1/3 0f the oranges equals 4, than you times it by three to get 3/3, so there were 12 oranges and 28 grapefruits, so the answer is 40
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The student council has decided to have a raffle at the carnival. They came up with a table to show the relationship between the
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Write an equation to find the number of each type of ticket they should sell.Let "x" be # of adult tickets; Let "y" be # of student tickets: Value Equation: 5x+3y=450-------------------------- b. Graph your equation.y = (-5/3)x+150
c. Use your graph to find two different combinations of tickets sold.I'll leave that to you.

6 0
2 years ago
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Which system of linear inequalities is represented by the graph? y &gt; One-thirdx + 3 and 3x – y &gt; 2 y &gt; One-halfx + 3 an
Verdich [7]

Answer:

y\geq \frac{1}{3}x+3

3x-y>2

Step-by-step explanation:

<u><em>The complete question is</em></u>

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, 3) and (3, 4). Everything above the line is shaded. The second dashed line has a positive slope and goes through (0, negative 2) and (1, 1). Everything to the right of the line is shaded. Which system of linear inequalities is represented by the graph?

step 1

Find the inequality of the first solid line

we have the points (0,3) and (3,4)

The slope is

m=(4-3)/(3-0)=\frac{1}{3}

The y-intercept is the point (0,3)

so

The equation in slope intercept form is equal to

y=\frac{1}{3}x+3

Remember that everything above the line is shaded and is a solid line

so

y\geq \frac{1}{3}x+3

step 2

Find the inequality of the second line

we have the points (0,-2) and (1,1)

The slope is

m=(1+2)/(1-0)=3

The y-intercept is the point (0,-2)

so

The equation in slope intercept form is equal to

y=3x-2

Remember that everything to the right of the line is shaded and is a dashed line

so

y

Rewrite

2 ----->  3x-y>2

therefore

The system of inequalities is

y\geq \frac{1}{3}x+3

3x-y>2

8 0
1 year ago
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