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3 years ago

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

1 answer:

5 0

Given:
28/36 ratio
annual income: 86,250

28+36 = 64

28/64 * 86,250 = 0.4375 * 86,250 = 37,734.375
36/64 * 86,250 = 0.5625 * 86,250 = 48,515.625

28/36 ⇒ 37,734.375/48,515.625

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The state of New Jersey makes approximately $1.55 billion annually from tolls of the $1.55 billion about 3/4 comes from tolls on

Rama09 [41]

Percent of turn pike is 75% and percent of parkway is 25%.

Solution:

Given, The state of New Jersey makes approximately $1.55 billion annually from tolls of the $1.55 billion

About $\frac{3}{4}$ comes from tolls on the turnpike

Remaining $\frac{1}{4}$ comes from tolls on the parkway

To find the percent of the total revenue from turnpike:

$\begin{array}{l}{\text { Percent of turnpike }=\frac{\text { amount from parkway }}{\text { total revenue }} \times 100} \\\\ {=\frac{\frac{3}{4} \text { of total revenue }}{\text { tot al revenue }} \times 100} \\\\ {=\frac{\frac{3}{4} \times \text { total revenue }}{\text { total revenue }} \times 100} \\\\ {=\frac{3}{4} \times 100=3 \times 25=75 \%}\end{array}$

To find the percent of the total revenue from parkway:

$\begin{array}{l}{\text { Percent of parkway }=\frac{\text { amount from parkway }}{\text { total revenue }} \times 100} \\\\ {=\frac{\frac{1}{4} \text { of total revenue }}{\text { total revenue }} \times 100} \\\\ {=\frac{\frac{1}{4} \times \text { total revenue}}{\text { total revenue }} \times 100} \\\\ {=\frac{1}{4} \times 100=25 \%}\end{array}$

Summarizing the results:

Percent of turn pike is 75%

Percent of parkway is 25%

3 0

3 years ago

Two-thirds of the buses in the transit system run on natural gas, and the rest run on diesel. If 738 of the buses run on diesel,

Sergeu [11.5K]

9514 1404 393

Answer:

2214 buses

Step-by-step explanation:

Diesel buses constitute 1/3 of the total, so the total number of buses is 3 times the number of diesel buses.

total = 3·738 = 2214

The transit system has 2214 buses.

5 0

3 years ago

What is: <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B4x%5E%7B2%7D%20-20x%2B25%20" id="TexFormula1" title=" \sqrt{4x^{2} -

Firdavs [7]

We are given :

$\sqrt{4x^{2}-20x+25}$

Step 1: factor the part inside square root

The function given inside square root is of quadratic form.

So let us try to factorise it using AC method.

Here A*C = 4*25 = 100

so we have to find factors of 100 that add up to give -20.

the two factors are -10 and -10.

Rewriting the function :

$4x^{2} -20x+25$

= $4x^{2} -10x-10x+25$

= $2x(2x-5) - 5(2x-5)$

= $(2x-5)^{2}$

Step 2:

Now we take square root of the factorised form

$\sqrt{(2x-5)^2}$

= $2x-5$

Answer : (2x-5)

3 0

3 years ago

Micheal wants to find the length of a shadow of a tree. He measures the height of a fence post and the length of the shadow it c

Arlecino [84]

Im pretty sure the answer is 92.0 becauese
if you do 10.5x3.5 5x5=25 5x0+2=7 5x1=5 so that will be 57.5 then your going to do 3x5=15 3x0+1=4 3x1=3 that equals 34.5 then your going to add 57.5 +34.5
= 92.0

7 0

3 years ago

Mr. King has 36 pair of shoes. 3/4 of them are gym shoes, how many of his shoes are gym shoes

Alex777 [14]

Answer:

The number of pair of gym shoes does Mr. king has is 27 pairs .

Step-by-step explanation:

Given as :

Total number of pairs of shoes does king has = 36 pairs

The number of gym shoes = $\dfrac{3}{4}$ of the total pairs of shoes

Let The number of pair of gym shoes = n

According to question

The number of gym shoes = $\dfrac{3}{4}$ × the total pairs of shoes

Or, n = $\dfrac{3}{4}$ × 36

i.e n = $\frac{3\times 36}{4}$

Or, n = 3 × 9

∴ n = 27

So, The number of pair of gym shoes = n = 27 pairs

Hence, The number of pair of gym shoes does Mr. king has is 27 pairs . Answer

6 0

4 years ago