lashea would like to invest her $100 in birthday money. which option will give her the most money at the end of the investment period?

1 year at 8 percent
1.5 years at 7 percent
2 years at 6.5 percent
3 years at 4 percent

Question

lashea would like to invest her $100 in birthday money. which option will give her the most money at the end of the investment period?

1 year at 8 percent
1.5 years at 7 percent
2 years at 6.5 percent
3 years at 4 percent

Accepted Answer

{ "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": [ "Simple Interest Investment" ], "current_concepts": [ "Simple Interest Formula", "Simple Interest Investment" ] } ## Calculate interest for Option 1 Using the *Simple Interest Formula* knowledge point $$ \begin{aligned} &I = P \cdot r \cdot t \ &I = 100 \cdot 0.08 \cdot 1 = 8 \ &A = 100 + 8 = 108 \end{aligned} $$ ## Calculate interest for Option 2 Using the *Simple Interest Formula* knowledge point $$ \begin{aligned} &I = P \cdot r \cdot t \ &I = 100 \cdot 0.07 \cdot 1.5 = 10.5 \ &A = 100 + 10.5 = 110.5 \end{aligned} $$ ## Calculate interest for Option 3 Using the *Simple Interest Formula* knowledge point $$ \begin{aligned} &I = P \cdot r \cdot t \ &I = 100 \cdot 0.065 \cdot 2 = 13 \ &A = 100 + 13 = 113 \end{aligned} $$ ## Calculate interest for Option 4 Using the *Simple Interest Formula* knowledge point $$ \begin{aligned} &I = P \cdot r \cdot t \ &I = 100 \cdot 0.04 \cdot 3 = 12 \ &A = 100 + 12 = 112 \end{aligned} $$ ## Compare the total amounts Using the *Simple Interest Formula* knowledge point $$ \begin{aligned} &113 > 112 > 110.5 > 108 \end{aligned} $$

1 year at 8 percent

1.5 years at 7 percent

2 years at 6.5 percent

3 years at 4 percent

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

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QUESTION IMAGE

Question

Explanation:

Calculate interest for Option 1

Calculate interest for Option 2

Calculate interest for Option 3

Calculate interest for Option 4

Compare the total amounts

Answer: