Question

hanna puts $4,383 in a savings account with an annual interest rate of 5.2 percent for 3 years. into which variable should she substitute 4,383 in the simple interest formula \\(i = prt\\)?

• \\(i\\)
• \\(p\\)
• \\(r\\)
• \\(t\\)

Explanation:

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

<reasoning>

Identify the components of the simple interest formula

Using the Simple Interest Formula and Financial Terminology knowledge points
\[
I = prt
\]
where:

• \(I\) is the interest earned.
• \(p\) is the principal amount (the initial money deposited or borrowed).
• \(r\) is the annual interest rate (as a decimal).
• \(t\) is the time in years.

Match the given value to the correct variable

Using the Financial Terminology knowledge point

• Hanna deposits an initial amount of \(\$4,383\).
• This starting balance represents the principal.
• Therefore, \(4,383\) must be substituted for \(p\).

</reasoning>

<answer>
<mcq-option>(A) \(I\)</mcq-option>
<mcq-correct>(B) \(p\)</mcq-correct>
<mcq-option>(C) \(r\)</mcq-option>
<mcq-option>(D) \(t\)</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",
"Financial Terminology"
],
"new_concepts": [],
"current_concepts": [
"Simple Interest Formula",
"Financial Terminology"
]
}
</pre_analysis>

<reasoning>

Identify the components of the simple interest formula

Using the Simple Interest Formula and Financial Terminology knowledge points
\[
I = prt
\]
where:

• \(I\) is the interest earned.
• \(p\) is the principal amount (the initial money deposited or borrowed).
• \(r\) is the annual interest rate (as a decimal).
• \(t\) is the time in years.

Match the given value to the correct variable

Using the Financial Terminology knowledge point

• Hanna deposits an initial amount of \(\$4,383\).
• This starting balance represents the principal.
• Therefore, \(4,383\) must be substituted for \(p\).

</reasoning>

<answer>
<mcq-option>(A) \(I\)</mcq-option>
<mcq-correct>(B) \(p\)</mcq-correct>
<mcq-option>(C) \(r\)</mcq-option>
<mcq-option>(D) \(t\)</mcq-option>
</answer>

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