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Difficulty: EasyPercents and Percent Change

An online learning platform has 500500 active subscribers. If the number of active subscribers increases by 12%12\% next month, what is the total number of active subscribers the platform will have next month?

  1. A
    440440
  2. B
    512512
  3. 560560Answer
  4. D
    600600

Answer

The total number of active subscribers the platform will have next month is 560560.
To find the total number of active subscribers after a 12%12\% increase, first calculate 12%12\% of 500500. This is done by converting 12%12\% to its decimal equivalent, 0.120.12, and multiplying by the base: 500×0.12=60500 \times 0.12 = 60. Then, add the increase to the initial value: 500+60=560500 + 60 = 560. Alternatively, multiply the initial value by 1.121.12 to directly get the new total: 500×1.12=560500 \times 1.12 = 560. Therefore, the total number of active subscribers next month is 560560.

Step-by-Step Solution

1
Calculate the amount of increase by finding 12%12\% of the initial 500500 subscribers.
500×0.12=60500 \times 0.12 = 60
To find the number of new subscribers, the percentage of increase must be multiplied by the initial amount.
2
Add the increase to the initial number of subscribers to find the new total.
500+60=560500 + 60 = 560
An increase means adding the calculated amount of change to the baseline value.

Key Concept

Calculating a percentage increase involves finding the specified percent of the original value and adding it to that original value.
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Topics

Percents and Percent Change

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