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Colt1911 [192]
2 years ago
7

Jacob is a construction worker who earns a yearly Income given by the expression 2000x + 6000, where X is the number of

Mathematics
1 answer:
satela [25.4K]2 years ago
7 0

Answer:

Answer:

The manager's prediction is false

Step-by-step explanation:

Given

Jacob: 2000x + 4000

Carlos: 3500x - 40000

Required

Determine if both expression will be the same if x = 35

To do this;

Equate both expressions and then solve for x

i.e.

2000x+4000=3500x-40000

Collect Like Terms

2000x+4000=3500x-40000

-1500x=-44000

Divide both sides by -1500

\frac{-1500}{-1500} = \frac{-44000}{-1500} \\= \frac{-44000}{-1500}\\x= -29.3

Hence, the manager's prediction is not true because x\neq35

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liberstina [14]

The required debt-equity ratio is 14:15

<u>Solution:</u>

<em>Given:</em>

Liabilities of the company = $14000

Equity of the company = $15000

<em>To calculate: </em>The debt-equity ratio

Here, the liabilities are included in the debt of the company. The debt-to-equity (D/E) ratio is calculated by dividing a company's total liabilities by its shareholder equity. Therefore, the debt equity ratio is as follows,

\text { Debt Equity ratio }=\frac{\text { Debt }}{\text { Equity }}=\frac{14000}{15000}=\frac{14}{15}

\text { Debt Equity ratio }=\frac{14}{15} \rightarrow 14: 15

The debt-equity ratio reflects the ability of shareholder equity to cover all outstanding debts in the event of a business downturn.

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3 years ago
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andriy [413]

<u>Answer-</u>

<em>A. Brandon’s sound intensity level is 1/4th as compared to Ahmad’s.</em>

<u>Solution-</u>

Given that, loudness measured in dB is

L=10\log \frac{I}{I_0}

Where,

I   = Sound intensity,

I₀ = 10⁻¹² and is the least intense sound a human ear can hear

Given in the question,

I₁ = Intensity at Brandon's = 10⁻¹⁰

I₂ = Intensity at Ahmad's  = 10⁻⁴

Then,

L_1=10\log \frac{I_1}{I_0}=10\log \frac{10^{-10}}{10^{-12}}=10\log \frac{1}{10^{-2}}=10\log 10^{2}=2\times10\log 10=20

L_2=10\log \frac{I_2}{I_0}=10\log \frac{10^{-4}}{10^{-12}}=10\log \frac{1}{10^{-8}}=10\log 10^{8}=8\times10\log 10=80

\therefore \frac{L_1}{L_2} =\frac{20}{80} =\frac{1}{4}

5 0
3 years ago
The coordinate below represents a town. Curtis’s house is at (-4, -6) and Jean’s house is at (-4, 3).Plot the points where Curti
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3 years ago
A rectangle has a width of 46 centimeters and a perimeter of 204 centimeters. What is the rectangle’s length?
Vanyuwa [196]

Answer:

Length = 56

Step-by-step explanation:

Perimeter = Length + Length + Width + Width

Perimeter = 2L + 2W

2L + 2W = 204

2L + 2(46) = 204

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Subtract 92 from both sides

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Divide both sides by 2

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Deffense [45]

Answer:

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it traveled .02 m farther

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