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34kurt
4 years ago
12

You work 40 hours/week for 52 weeks and are given the option to be paid hourly or to go on salary. In which situation will you e

arn the most?
$30,000/year
$15.00/hour
$30,000/year with a 10% bonus
$15.00/hour and a $2,000 bonus at the end of the year
Mathematics
2 answers:
Viefleur [7K]4 years ago
6 0
10% of $30,000.00 is $3,000.00+$30,000.00=$33,000.00
$15.00x(40h/wx52w)=$31,200.00
$31,200.00+$2,000.00=$33,200.00
Damm [24]4 years ago
3 0
40 hours/week * 52 weeks = 2,080 hours a year.

$30,000/year

$15.00/hour * 2,080 hours = 31,200/year

$30,000/year w/ a 10% bonus = 30,000 * 1.10 = 33,000/year

$15.00/hour and a $2,000 bonus at the end of the year = (15 * 2,080) + 2,000 = 31,200 + 2,000 = 33,200/year

I will earn the most in $15.00/hour and a $2,000 bonus at the end of the year. I will earn $33,200 per year.
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Answer

given,

opera house ticket = $50

attendance = 4000 persons

now,

opera house ticket = $52

attendance = 3800 person

assuming these are the points on the demand curve

(x, p) = (4000,50) and (x,p) = (3800,52)

using point slope formula

p-50 = \dfrac{50-52}{4000-3800}(x - 4000)

p-50 = \dfrac{-2}{200}(x - 4000)

p-50 = \dfrac{-x}{100}+ 40

p = \dfrac{-x}{100}+ 90

R(x) = x . p

R(x) = x (\dfrac{-x}{100}+ 90)

R(x) = \dfrac{-x^2}{100}+ 90x)

\dfrac{d}{dx}(R(x)) = \dfrac{d}{dx}(\dfrac{-x^2}{100}+ 90x))

\dfrac{d}{dx}(R(x)) = (\dfrac{-2x}{100})+90)

at \dfrac{d}{dx}(R(x)) = 0

\dfrac{-2x}{100}= -90

x = 4500

\dfrac{d^2}{d^2x}(R(x)) = -ve

hence at x =4500 the revenue is maximum

for maximum revenue ticket price will be

p = \dfrac{-4500}{100}+ 90

p = $45

6 0
3 years ago
Solution to the equation y= -2/3x + 9
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Answer:

I think that we cannot find either x or y

Step-by-step explanation:

Because we need at least two equations

4 0
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omeli [17]

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Step-by-step explanation:

3 0
3 years ago
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On a certain hot summer's day, 321 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for a
Paul [167]

Answer:

31 children and 290 adults

Step-by-step explanation:

Let a = number of adults and c = number of children.

a + c = 321

2a + 1.75c = 634.25

Multiply both sides of the the first equation by -2 and add it to the second equation.

         -2a -     2c = -642

(+)       2a + 1.75c = 634.25

--------------------------------------

                 -0.25c = -7.75

Divide both sides by -0.25

c = 31

Use the first equation to find a.

a + c = 321

Substitute 31 for c.

a + 31 = 321

Subtract 31 from both sides.

a = 290

Answer: 31 children and 290 adults

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