2. The value of Twitter has been growing exponentially at a rate of 170% a year. If the company was worth $0.5 million in 2009, during what year will Twitter become worth $24 billion?

Respuesta :

lucic

The year Twitter become worth $24 billion is 2019

Step-by-step explanation:

The formula to apply is;

[tex]y=a(1+r)^{x}[/tex]

where

a=initial amount

r=growth rate as a decimal

x=number of time interval passed

y=amount after x time

Given

r=170%=170/100 =1.7

a=$500,000

x=?

y=$24000000000

Finding x

y=a(1+r)^x

$24000000000=$500000(1+1.7)^x

simplify the above by eliminating the zeros both sides to remain with;

240000=5(1+1.7)^x

Divide both sides by 5

48000=(2.7)^x

Introduce natural log both sides

In (48000)=x In (2.7)

10.778=0.993x ------divide both sides by 0.993

10.778/0.993=0.993x/0.993

10.85=x

Taking a whole number for the value of years,this will be 10 years

The year will be 2009+10=2019

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Exponential growth : https://brainly.com/question/13674608

Keyword : growing, exponentially, rate

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