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professor190 [17]
3 years ago
5

Using the 28/36 ratio, determine the maximum allowable recurring debt for someone with an annual income of $86,250.

Mathematics
2 answers:
lesantik [10]3 years ago
8 0

Answer:

Option A.

Step-by-step explanation:

Annual income = $86,250

Monthly income = \frac{\$86,250}{12}=\$7,187.5

According to the 28/36 rule:

1. A household should spend no more than 28% of its gross monthly income on total housing expenses.

2. No more than 36% on all debt, including housing-related expenses and other recurring debt service.

36% - 28% = 8%

It means maximum allowable recurring debt is 8% of monthly income.

Maximum allowable recurring debt = 7,187.5\times \frac{8}{100}

                                                           = $575

Therefore, the correct option is A.

Kaylis [27]3 years ago
7 0

The correct answer on e2020 is  $575.00

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the home of bill burton is assessed at $91,000. the tax rate is 18.5 mills. what is the property tax on bills home?
IrinaVladis [17]

Answer:

  $1683.50

Step-by-step explanation:

You are expected to know that a "mill" is one thousandth of a dollar. In this context, it is the amount of tax on one dollar of assessed valuation. So, the tax amount is found by multiplying the valuation by 18.5/1000:

  tax = 0.0185 · $91,000 = $1683.50

6 0
3 years ago
A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the vol
k0ka [10]

The length of the rectangular delivery box must be equal to 4 inches.

Let the length of the box be L.

Let the width of the box be W.

Let the height of the box be H.

<u>Given the following data:</u>

  • Volume of box = 224 cubic inches.

Translating the word problem into an algebraic expression;

W = 3 + L  ......equation 1

H = 4 + L  ......equation 2.

Mathematically, the volume of a rectangular solid is given by the formula;

Volume = length * width * height  .....equation 3.

Substituting the values into equation, we have;

224 = L * (3 + L) * (4 + L)\\\\224 = (3L + L^{2})* (4 + L)\\\\224 = 12L + 3L^{2} + 4L^{2} + L^{3} \\\\224 = 12L + 7L^{2} + L^{3}

Rearranging the polynomial, we have;

L^{3} + 7L^{2} +  12L - 224 = 0

We would apply the remainder theorem to solve the polynomial.

According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.

When x = 3

(x - 3) = 0\\x = 3

P(3) = 3^{3} + 7(3^{2}) + 12(3) - 224\\\\P(3) = 27 + 7(9)  + 36 - 224\\\\P(3) = 27 + 63 + 36 - 224 = -98 \neq 0

We would try with 4;

P(4) = 4^{3} + 7(4^{2}) + 12(4) - 224\\\\P(4) = 64 + 7(16)  + 48 - 224\\\\P(4) = 64 + 112 + 48 - 224\\\\P(4) = 224  - 224 = 0

Therefore, 4 is one of its roots.

Hence, the length of the rectangular delivery box must be equal to 4 inches.

Find more information on polynomial here: brainly.com/question/10689855

3 0
3 years ago
How to find the relative maximum and minimum of a function?
antiseptic1488 [7]
Use socratic to find your answer! :)
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3 years ago
Number ten please thanks
BlackZzzverrR [31]
-3^2= -(3)^2

The exponent of 2 only applies to the number 3. -(3)^2 should equal -9. This is true because according to the order of operations, exponents should be evaluated before multiplication. The negative sign here represents -1* 3^2.
If you want to find -3 to the power of 2 it must be written (-3)^2.
5 0
3 years ago
What value of x makes this inequality true? <br> x + 16 &lt; 43
lianna [129]

Answer:

x < 27

Step-by-step explanation:

x + 16 < 43

move the constant to the right-hand side and change its sign

x < 43 - 16

subtract the numbers

x < 27

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X < 27

alternative form

X ∈ ( - ∞ , 27 ) , { x | x < 27 }

5 0
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