## 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

Question

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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2022-02-15T12:40:08+00:00
2022-02-15T12:40:08+00:00 1 Answer
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## Answers ( )

Answer:Approximately 28 millions of adults can be expected to cut the cord next yearStep-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