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Ratling [72]
4 years ago
7

A text message plan coasts $7 per month pluse $0.46 per text. Find the monthly cost for x text messages.

Mathematics
1 answer:
Nadya [2.5K]4 years ago
3 0

p = 7 + 0.46x is the monthly cost for x text messages

<u>Solution:</u>

Given that, A text message plan costs $7 per month plus $0.46 per text

To find: Monthly cost for "x" text messages'

Let "x" be the number of text messages in a month

From given information,

text message plan cost per month = $ 7

Cost for 1 text = $ 0.46

Let "p" be the Monthly cost for "x" text messages

Then, we get,

p = text message plan cost per month + (Cost for 1 text)(number of text messages in a month)

p = 7 + 0.46x

Thus the monthly cost for x text messages is found

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Five years ago, the population of a city was 49,000. each year the zoning commission permits an increase of 580 in the populatio
Paladinen [302]

The maximum population be 5 year from now will be 54,800 given that five years ago, the population of a city was 49,000 and each year the zoning commission permits an increase of 580 in the population. This can be obtained using the formula of arithmetic progression.

<h3>What will the maximum population be 5 year from now?</h3>

Formula of arithmetic progression is given by,

⇒ aₙ = a + (n - 1)d

where aₙ = nth term, a = first term, d = common difference

Here in the question it is given that,

  • Five years ago, the population of a city was 49,000
  • Each year the zoning commission permits an increase of 580 in the population

   

We have to find out the maximum population in 5 year from now.

By using the formula of arithmetic progression we get,

aₙ = a + (n - 1)d,

here in the question,

  • a = 49,000,
  • n = five years ago + current year + five years from now ⇒ n = 5 + 1 + 5         ⇒ n = 11g
  • d = 580

Now we get,

⇒ aₙ = a + (n - 1)d

⇒ aₙ = 49000 + (11 - 1)580

⇒ aₙ = 49000 + (10)580

⇒ aₙ = 49000 + 5800

⇒ aₙ = 54,800

Hence the maximum population be 5 year from now will be 54,800 given that five years ago, the population of a city was 49,000 and each year the zoning commission permits an increase of 580 in the population.

Learn more about arithmetic progression here:

brainly.com/question/16954227

#SPJ4

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Answer:

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Step-by-step explanation:

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Standard form: Ax + By = C

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