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miss Akunina [59]
3 years ago
14

.Que propriedade foi aplicada nas alternativas a seguir?

Mathematics
1 answer:
vlada-n [284]3 years ago
5 0
Answer is C hope this helps
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His average rate is 120 meters per minute.
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30x what equals 120?<br> I need the answer right now
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a gift shop sells 160 wind chimes per month at $150 each. the owners estimate that for each $15 increase in price, they will sel
adell [148]

Answer:

The price per wind chime that will maximize revenue = $ 315

Step-by-step explanation:

Given - A gift shop sells 160 wind chimes per month at $150 each. the owners estimate that for each $15 increase in price, they will sell 5 fewer wind chimes per month.

To find - Find the price per wind chime that will maximize revenue.

Proof -

Given that,

Total Wind chimes selling = 160

Price of each Wind chime = $150

Now,

Given that, for each $15 increase in price, they will sell 5 fewer wind chimes per month.

So,

Let the price = 150 + 15x

So,

Number of wind Chimes sold per month = 160 - 5x

So,

Total Revenue, R = (150 + 15x)(160 - 5x)

                             = 24000 - 750x + 2400x - 75x²

                             = 24000 + 1650x - 75x²

⇒R(x) = 24000 + 1650x - 75x²

Differentiate R with respect to x , we get

R'(x) = 1650 - 150x

Now,

For Maximize Revenue, Put R'(x) = 0

⇒1650 - 150x = 0

⇒150x = 1650

⇒x = 1650/150

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∴ we get

Price per Wind chime = $ 150 + 15(11)

                                    = $ 150 + 165

                                    = $ 315

So,

The price per wind chime that will maximize revenue = $ 315

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The length of one leg of a right triangle is 9cm and 40cm
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Answer:

Step-by-step explanation:

I think ur is D but I'm not sure

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riadik2000 [5.3K]

Answer:

x < 4

Step-by-step explanation:

We have that: 1 + 2x < 9. Let's solve this as if the < sign was an = sign:

1 + 2x < 9

Isolate the variable:

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Divide by 2:

x < 8/2

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The answer is x < 4.

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