If stock value is $45 per share, what percent decrease is required for Marci to sell at $30 a share?

To determine the percent decrease required for Marci to sell her stock from $45 to $30, we can use the formula for percent decrease, which is:

[

\text{Percent Decrease} = \frac{\text{Original Value} - \text{New Value}}{\text{Original Value}} \times 100

]

In this scenario, the original value is $45 and the new value is $30. First, we calculate the difference between the original and new values:

[

45 - 30 = 15

]

Next, we divide this difference by the original value:

[

\frac{15}{45} = \frac{1}{3}

]

Now, to convert this fraction into a percentage, we multiply by 100:

[

\frac{1}{3} \times 100 = 33.33%

]

Thus, the percent decrease required for Marci to sell her stock at $30 per share is 33 1/3%. This calculation reflects how the stock value has diminished from its original price to the new price, illustrating a significant reduction in value.