say that the economy is in a recession, which is causing the value of gold to fall by three percent. if you have gold reserves which were previously worth $8,590, how much value have you lost as a result of this recession, to the nearest cent?
a. $590.00
b. $286.33
c. $257.70
d. $250.19

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Percentage Loss Calculation" ], "current_concepts": [ "Percentage Decrease", "Economic Recession Impacts", "Percentage Loss Calculation" ] } ## Identify the given values and target unknown $$ \begin{aligned} &\text{Previous Value } (V) = \$8,590\ &\text{Percentage Decrease } (P) = 3\% = 0.03\ &\text{Target: Value Lost } (L) \end{aligned} $$ ## Calculate the lost value $$ \begin{aligned} L &= V \times P\ L &= 8590 \times 0.03\ L &= 257.70 \end{aligned} $$ ## Match with the multiple-choice options $$ L = \$257.70 \implies \text{Option (c)} $$

a. $590.00

b. $286.33

c. $257.70

d. $250.19

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Percentage Decrease" ] }

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Question

Explanation:

Identify the given values and target unknown

Calculate the lost value

Match with the multiple-choice options

Answer: