Question

a companys stock was selling at \\$24 a share. a month later, it is selling at \\$30 a share. what is the percent change?

? \\%

Explanation:

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<reasoning>

Identify the initial and final values

Using the Percentage Calculations knowledge point
\[

$$\begin{aligned} &\text{Initial Value } (V_i) = 24\\ &\text{Final Value } (V_f) = 30 \end{aligned}$$

\]

Calculate the absolute change

Using the Percentage Calculations knowledge point
\[

$$\begin{aligned} \text{Change} &= V_f - V_i\\ &= 30 - 24\\ &= 6 \end{aligned}$$

\]

Calculate the percent change

Using the Percentage Calculations knowledge point
\[

$$\begin{aligned} \text{Percent Change} &= \frac{\text{Change}}{\text{Initial Value}} \times 100\%\\ &= \frac{6}{24} \times 100\%\\ &= 0.25 \times 100\%\\ &= 25\% \end{aligned}$$

\]
</reasoning>

<answer>
A company's stock was selling at $24 a share. A month later, it is selling at $30 a share. What is the percent change?

<blank>25</blank>%
</answer>

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"question_type": "Fill-in-the-blank",
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"Mathematics",
"Algebra",
"Percent Change"
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Answer:

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}
</pre_analysis>

<reasoning>

Identify the initial and final values

Using the Percentage Calculations knowledge point
\[

$$\begin{aligned} &\text{Initial Value } (V_i) = 24\\ &\text{Final Value } (V_f) = 30 \end{aligned}$$

\]

Calculate the absolute change

Using the Percentage Calculations knowledge point
\[

$$\begin{aligned} \text{Change} &= V_f - V_i\\ &= 30 - 24\\ &= 6 \end{aligned}$$

\]

Calculate the percent change

Using the Percentage Calculations knowledge point
\[

$$\begin{aligned} \text{Percent Change} &= \frac{\text{Change}}{\text{Initial Value}} \times 100\%\\ &= \frac{6}{24} \times 100\%\\ &= 0.25 \times 100\%\\ &= 25\% \end{aligned}$$

\]
</reasoning>

<answer>
A company's stock was selling at $24 a share. A month later, it is selling at $30 a share. What is the percent change?

<blank>25</blank>%
</answer>

<post_analysis>
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"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Percent Change"
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