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9.

The circulation of a newsletter decreased from 5200 to 3140. Find the percent of decrease in circulation to the nearest percent.

1 answer

To find the percent decrease in circulation, you can use the formula:

\[ \text{Percent Decrease} = \left( \frac{\text{Old Value} - \text{New Value}}{\text{Old Value}} \right) \times 100 \]

In this case, the old value (initial circulation) is 5200 and the new value (final circulation) is 3140.

  1. Calculate the decrease in circulation:

\[ \text{Decrease} = 5200 - 3140 = 2060 \]

  1. Now, plug in the values into the percent decrease formula:

\[ \text{Percent Decrease} = \left( \frac{2060}{5200} \right) \times 100 \]

  1. Calculate the fraction:

\[ \frac{2060}{5200} = 0.39615384615 \quad (\text{approximately}) \]

  1. Multiply by 100 to convert to a percentage:

\[ 0.39615384615 \times 100 \approx 39.615384615 \quad (\text{approximately}) \approx 39.62% \]

  1. Rounding to the nearest percent gives us:

\[ \text{Percent Decrease} \approx 40% \]

Therefore, the percent decrease in circulation is approximately 40%.