A recent survey showed that 23.1 million adults have cut the cord on cable TV services, a 20% increase from the previous year. If this trend continues, how many millions of adults can be expected to cut the cord next year? (Enter a number as an exact integer or decimal.)

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Answer:

Approximately 28 millions of adults can be expected to cut the cord next year

Step-by-step explanation:

Percentages

If a quantity has a value of V and it's incremented by X%, the new value is  

V+increment

the increment is

[tex]\displaystyle V\frac{ X}{100}[/tex]

Thus, the new value is

[tex]\displaystyle V+V\frac{ X}{100}[/tex]

[tex]\displaystyle =V\left(1+\frac{ X}{100}\right)[/tex]

We know 23.1 million adults have cut the cord on cable TV services and that value increases by 20% each year, thus for the next year it can be expected to be

[tex]\displaystyle =23.1 \left(1+\frac{ 20}{100}\right)=27.72\approx 28[/tex]

28 millions of adults can be expected to cut the cord next year

The number of  millions of adults can be expected to cut the cord next year should be 28

Given that,

  • A recent survey showed that 23.1 million adults have cut the cord on cable TV services, a 20% increase from the previous year.

The calculation is as follows:

[tex]= 23.1 \times (1 + 0.20)\\= 23.1 \times 1.20[/tex]

= 27.72

= 28

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