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what is the simple interest that is missing from the table? use the for…

Question

what is the simple interest that is missing from the table? use the formula \\(i = prt\\).

\\(\

$$\begin{array}{|c|c|}\\hline i & ? \\\\\\hline p & \\$375 \\\\\\hline r & 2.2\\% \\\\\\hline t & 3\\text{ years} \\\\\\hline\\end{array}$$

\\)

  • \\(\\$25.00\\)
  • \\(\\$24.75\\)
  • \\(\\$2,475.75\\)
  • \\(\\$2,500.00\\)

Explanation:

Response

<pre_analysis>
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"quality": "clear",
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"skills_matched": [
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"concepts_used": [
"Simple Interest Formula"
],
"new_concepts": [],
"current_concepts": [
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"Financial Terminology"
]
}
</pre_analysis>

<reasoning>

Identify the given values

Using the Simple Interest Formula knowledge point
\[

$$\begin{aligned} p &= 375 \\ r &= 2.2\% = 0.022 \\ t &= 3 \end{aligned}$$

\]

Calculate the simple interest

Using the Simple Interest Formula knowledge point
\[

$$\begin{aligned} I &= p \cdot r \cdot t \\ I &= 375 \cdot 0.022 \cdot 3 \\ I &= 8.25 \cdot 3 \\ I &= 24.75 \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-option>(A) $25.00</mcq-option>
<mcq-correct>(B) $24.75</mcq-correct>
<mcq-option>(C) $2,475.75</mcq-option>
<mcq-option>(D) $2,500.00</mcq-option>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Simple Interest Formula"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"tutor",
"mastery_adaptive_brevity"
],
"needs_drawing": false,
"concepts_used": [
"Simple Interest Formula"
],
"new_concepts": [],
"current_concepts": [
"Simple Interest Formula",
"Financial Terminology"
]
}
</pre_analysis>

<reasoning>

Identify the given values

Using the Simple Interest Formula knowledge point
\[

$$\begin{aligned} p &= 375 \\ r &= 2.2\% = 0.022 \\ t &= 3 \end{aligned}$$

\]

Calculate the simple interest

Using the Simple Interest Formula knowledge point
\[

$$\begin{aligned} I &= p \cdot r \cdot t \\ I &= 375 \cdot 0.022 \cdot 3 \\ I &= 8.25 \cdot 3 \\ I &= 24.75 \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-option>(A) $25.00</mcq-option>
<mcq-correct>(B) $24.75</mcq-correct>
<mcq-option>(C) $2,475.75</mcq-option>
<mcq-option>(D) $2,500.00</mcq-option>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Simple Interest Formula"
]
}
</post_analysis>