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larisa86 [58]
1 year ago
11

The predicted number of messages per person per day in 2019 is how many times the estimated number in 2015? (round your answer t

o two decimal places.)
Mathematics
1 answer:
Anon25 [30]1 year ago
6 0

Using proportions, it is found that the predicted number of messages per person per day in 2019 is 1.05 times the estimated number in 2015.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Researching this problem on the internet, it is found that in 2015, there were:

  • 2586 million users.
  • 205,600 million messages.

Hence the number of messages per person is given by:

205600/2586 = 79.5.

For 2019, we have that there were:

  • 2943 million users.
  • 246,500 million messages.

Hence the number of messages per person is given by:

246500/2943 = 83.76.

The proportion between these two amounts is given by:

83.76/79.5 = 1.05.

The predicted number of messages per person per day in 2019 is 1.05 times the estimated number in 2015.

More can be learned about proportions at brainly.com/question/24372153

#SPJ4

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at the start of 2014 lucys house was worth 200000. the value of the house is increased by 5% every year. work out the value of h
Galina-37 [17]

Answer:

231525

Step-by-step explanation:

2014 = 200,000

Start of 2015

200,000 x 1.05 = 210,000


Start of 2016

210 x 1.05 = 220,500


Start of 2017

220,000 x 1.05 = 231,525

8 0
3 years ago
Any ideas on how to find the value of 'x' on either 13 or 16? Anything helps!
Artemon [7]
(x+5)/4=1/2
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multiply both sides by 4
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subtract 5
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(2x+1)/(4x-1)=2/3
get rid of the fractions,
multiply both sdies by (4x-1)(3)
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distribute
6x+3=8x-2
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5=2x
divide by 2
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4 0
3 years ago
What is the exact value of <img src="https://tex.z-dn.net/?f=tan%5Cfrac%7B11%5Cpi%20%7D%7B12%7D" id="TexFormula1" title="tan\fra
AnnyKZ [126]

Notice that

11/12 = 1/6 + 3/4

so that

tan(11π/12) = tan(π/6 + 3π/4)

Then recalling that

sin(x + y) = sin(x) cos(y) + cos(x) sin(y)

cos(x + y) = cos(x) cos(y) - sin(x) sin(y)

⇒   tan(x + y) = (tan(x) + tan(y))/(1 - tan(x) tan(y))

it follows that

tan(11π/12) = (tan(π/6) + tan(3π/4))/(1 - tan(π/6) tan(3π/4))

tan(11π/12) = (1/√3 - 1)/(1 + 1/√3)

tan(11π/12) = (1 - √3)/(√3 + 1)

tan(11π/12) = - (√3 - 1)²/((√3 + 1) (√3 - 1))

tan(11π/12) = - (4 - 2√3)/2

tan(11π/12) = - (2 - √3) … … … [A]

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2 years ago
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