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Tpy6a [65]
3 years ago
9

The total amount, a, in dollars, that Mitra earns is a = 14.6h, where h is the number of hours that she works. What is the const

ant of proportionality? Enter your answer as a decimal in the box. I have an answer Im just sure :/
Mathematics
2 answers:
lesantik [10]3 years ago
7 0
14.6 is the constant because no matter how many hours she will work (that number could change) it will always be a linear growth of 14.6.
dimulka [17.4K]3 years ago
4 0

Answer:

Find out the what is the constant of proportionality .

To prove

As given

The total amount, a, in dollars, that Mitra earns is a = 14.6h .

The total amount in dollars is represented by a.

the number of hours that Mitra works by h .

As the total amount is depand upon the working hours.

Thus

a \propto h

a = kh

Where k is the constant of proportionality .

Compare this with the equation a = kh with  a = 14.6h  .

k =14.6

Therefore 14.6  is the constant of proportionality .




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PLEASE ANSWER QUICKLY! WILL GIVE BRANLIEST
uysha [10]

Answer:

Step-by-step explanation:

Let x represent the seating capacity

Number of seats = 40+x

Profit per seat = 10 - 0.20x

For maximum number of seats

P(x) = ( 40+x ) ( 10-0.20x )

P(x) = 400+10x-8x-0.2x^2

P(x) = 400+2x- 0.2x^2

Differentiating with respect to ( x )

= 2 - 0.4x

0.4x = 2

x = 2/0.4

x = 5

The seating capacity will be 40+5 = 45

For the maximum profits

40X10+ 9.9 + 9.8 + 9.7 + 9.6 + 9.5 + 9.4 + 9.3 + 9.2 + 9.1 + ... 1.0, 0.9, 0.8, 0.6, 0.5, 0.4, 0.3, 0.2, 0.1

= 400 + an arithmetic series (first term = 0.1, common difference = 0.1, number of terms = 8+ 40 = 48 )

= 400 + (48/2)(2X0.1 + (48-1)X0.1)

= 400 + 24(0.2 + 4.7)

= 400 + 24(4.9)

= 400 + 117.6

= 517.6

= 517.6dollars

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Answer:

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Step-by-step explanation:

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