Your realized income is $36,864.00/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?

Answers

Answer 1
Answer:

The discretionarymoney for a month is $1628.16, excluding savings per month.

What is discretionary money?

The discretionarymoney is the leftover money in the income after excluding the savings and expenditures.

Calculating the discretionary money for the given income:

The given realized income is $36,864.00/yr

Then for a month, the realized income = $36,864/12

                                                                = $3072/month

Fixed and housingexpenses are 32% of the realized income/month

= $3072 × (32)/(100)

= $983.04

Savings are 15% of the realized income/month

= $3072 × (15)/(100)

= $460.8

Then subtracting these from the realized income per month to get the discretionary money

Discretionarymoney (per month) = $3072 - $983.04 - $460.8

                                                        = $1628.16

So, the discretionarymoney left after excluding savings is $1628.16/month.

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Answer 2
Answer:

Answer:

You will have $1628.16 per month in discretionary money.

Step-by-step explanation:

In order to find the amount of money you have left for discretionary purposes at the end of the money, you need to calculate the total amount of your monthly pay is going towards expenses and savings.  Since there are 12 months in a year, your monthly income is $3072.  Of that amount, you spend 32% on housing and 15% on savings, for a total of 47%.  The remaining percentage of your income would be considered discretionary, which would account for 53%.  To find the amount of money, you take your monthly income and multiply it by 53%, or .53, which gives you $1628.16.  


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The area of the polygon is 48 mi2. What is the length of side a? miles

Answers

Answer:

Length of side a = 4.30 miles

Incomplete question:

The area of the regular polygon is 48 mi2. What is the length of side a? miles

Step-by-step explanation:

The number of sides of sides of the polygon is not given, so we will assume the polygon is an hexagon as shown in the attached image;

Given;

Area = 48 mi^2

Area of an hexagon using side a can be written as;

A = (3/2)√3×a^2

Making a the subject of formula

a = √(2/3√3 ×A)

Substituting the values

a = √(2/3√3 ×48)

a = √(32/√3)

a = 4.30 miles

To find the Length of Polygon Sides ('a') of a square polygon with an area of 48 mi², we apply the formula a = √Area. This gives a = √48 miles. This formula applies specifically to squares.

Given the area of the polygon is 48 square miles, to find the length of a side, we would first need to know the type of polygon.

For instance, if it's a square, the area is calculated by squaring one of its sides (Area = side²).

Here, to find the side length ('a'), we take the square root of the area. So, a = √Area.

Applying this to the given area, a = √48 miles.

However, please note that this formula is for a square.

Other polygons have different formulas for calculating such dimensions.

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What is the solution to the equation below? log6 4x 2 - log6 x=2

Answers

The solution of the logarithmic equation is x = 9.

What is logarithm?

Logarithm, a mathematical concept involving multiplication. It is the exponent or power to which a base must be raised to yield a given number.

For the given situation,

The equation is log6 4x^2 - log6 x = 2.

The solution for this logarithmic equation is

log_(6) 4x^(2) -log_(6) x=2

log_(6)( (4x^(2) )/(x)) =2

log_(6)4x=2\n

We know that the equation log_(b)n=x\n can be expressed as b^(x)=n.

4x=6^(2)

x=(36)/(4)

x=9

Hence we can conclude that the solution of the logarithmic equation is   x = 9.

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Answer:x=9

Step-by-step explanation:

The weather forecast states that the temperature will be lower than -5*F tonight. Let t represent the temperature in degrees Fahrenheit. Which inequality models the situation.A. t < -5 and t may be a negative number

B. t < -5 and t must be a positive number

C. t > -5 and t may be a negative number

D. t > -5 and t must be a positive number

Answers


SO IT IS POSITIVE. THAT IS CONFUSING lol!

Explaon two ways to find the sale price of an item marked 30% off

Answers

Answer:

Step-by-step explanation:

1) First take the price of the item, let's say it is $10, and multiply it by 0.7. This will give you the price of the item AFTER the sale price is already taken off.

$10 x 0.7 = $7

2) Another way is to multiply the price by 0.3. Take that number and subtract it from the full price to get your discounted price.

$10 x 0.3 = $3

$10 - $3 = $7

What is the answer to 2x=x^2-3

Answers

x = -1, x = 3
Sooooo, 2 x -1 = -1^2-3
which means, -2 = 1 - 3 which is -2 = -2
Then we also have 2 x 3 = 3^2 - 3
which means,             6 = 9 - 3 which is 6 = 6
So x = -1 and x = 3

2x = x^2 - 3
2x - x^2 + 3 = 0
x^2 - 2x - 3 = 0
(x - 3)(x + 1) = 0
x = 3, -1

The answer is: x = 3 and x = -1.

What is the probability that a random selected citizen of Canada will speak either English or French

Answers

Answer:

3 out of 10

Step-by-step explanation:


Answer:

4/10 im not sure why this is a mathmadics but ok

Step-by-step explanation: