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3 years ago

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What is the value of y? A. 72°B. 36°C. 54°D. 108°

2 answers:

klio [65]3 years ago

8 0

Answer:

<h2>C. y = 54°</h2>

Step-by-step explanation:

y + y + 72 = 180

2y = 180 - 72

y = 108/2

y = 54°

disa [49]3 years ago

6 0

C. 54 it has to equal 180 total and y is both so all I did was turn the awnsers into x and did 2x+72 and which ever gave 180 that was the answer which is C.

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Benny gets a job at a law firm with a salary of 70,000$ per year. After the first year, his salary increases to 73,000$. Over th

Morgarella [4.7K]

Hey there!

Part A- The y-intercept would represent Benny's starting salary: b = 70,000.

The slope would represent Benny's annual raise: m = 3,000.

Part B- The y-intercept is b = 70,000.

The slope is m = 3,000.

<span>The equation representing Benny's annual salary at any given year is y = mx + b, or y = 3,000x + 70,000, where x is the number of years since Benny started the job.</span>

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irakobra [83]

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3 years ago

Which percent is equivalent to 0.3?<br> A. 0.003%<br> B. 0.03%<br> C. 3%<br> D. 30%

Kitty [74]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

3) For a certain good we have LaTeX: q=f\left(p\right)=200e^{-0.4p}q = f ( p ) = 200 e − 0.4 p.

disa [49]

Answer:

(a)20

(b)Elastic

(c)8

(d) Elastic

Step-by-step explanation:

Elasticity of demand(E) indicates the impact of a price change on a product's sales.

The general formula for an exponential demand curve is given as:

$y=ae^{-bp}$

Given the demand curve formula

$q=f\left(p\right)=200e^{-0.4p}$

The formula for Elasticity of demand, E

$E = -\dfrac{p}{q}\dfrac{\text{d}q}{\text{d}p}$

(a)When Price, p = $50

p=50

$q=200e^{-0.4*50}=200e^{-20}$

$\dfrac{\text{d}q}{\text{d}p}=-0.4*200e^{-0.4p}=-80e^{-0.4p}$

Therefore:

$E = -\dfrac{50}{200e^{-20}}*-80e^{-0.4*50}\\=\dfrac{1}{4e^{-20}}*80e^{-20}\\\\E=20$

(b)At p = $50, Since elasticity is greater than 1, the demand is elastic.

An elasticity value of 20 means that a 1% increase in price causes a 20% decrease in demand.

(c)At p=$20

p=20

$q=200e^{-0.4*20}=200e^{-8}$

$\dfrac{\text{d}q}{\text{d}p}=-0.4*200e^{-0.4p}=-80e^{-0.4p}$

Therefore:

$E = -\dfrac{20}{200e^{-8}}*-80e^{-0.4*20}\\=\dfrac{1}{10e^{-20}}*80e^{-20}\\\\E=8$

(d)At p = $20, the demand is elastic.

An elasticity value of 8 means that a 1% increase in price causes a 8% decrease in demand.

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4 years ago