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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3 months 2022-02-15T12:40:08+00:00 1 Answer 0 views 0

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

$$\displaystyle V\frac{ X}{100}$$

Thus, the new value is

$$\displaystyle V+V\frac{ X}{100}$$

$$\displaystyle =V\left(1+\frac{ X}{100}\right)$$

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

$$\displaystyle =23.1 \left(1+\frac{ 20}{100}\right)=27.72\approx 28$$

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