say that the economy is in a recession, causing vehicle prices to drop by eight percent. if your car was previously worth \$25,295, what is it worth now, to the nearest dollar?
a. \$23,851
b. \$23,421
c. \$23,271
d. \$22,133

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 Decrease", "Asset Valuation" ], "current_concepts": [ "Percentage Decrease", "Asset Valuation", "Economic Impact on Prices" ] } ## Identify given values and target $$ \begin{aligned} &\text{Original Value } (V_0) = \$25,295 \ &\text{Percentage Drop } (p) = 8\% = 0.08 \ &\text{Target: New Value } (V_n) \text{ rounded to the nearest dollar} \end{aligned} $$ ## Calculate the price drop amount $$ \begin{aligned} &\text{Drop Amount} = V_0 \times p \ &\text{Drop Amount} = 25,295 \times 0.08 = 2,023.60 \end{aligned} $$ ## Calculate the new value $$ \begin{aligned} &V_n = V_0 - \text{Drop Amount} \ &V_n = 25,295 - 2,023.60 = 23,271.40 \ &V_n \approx \$23,271 \text{ (to the nearest dollar)} \end{aligned} $$

a. $23,851

b. $23,421

c. $23,271

d. $22,133

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify given values and target

Calculate the price drop amount

Calculate the new value

Answer: