mikaela purchased a paddleboard originally priced at $899. if all merchandise was on sale for 40% off and the state tax rate is 7.25%, what is the total amount that mikaela spent on the paddleboard?

$449.51
$470.08
$300.28
$299.87

Question

mikaela purchased a paddleboard originally priced at $899. if all merchandise was on sale for 40% off and the state tax rate is 7.25%, what is the total amount that mikaela spent on the paddleboard?

$449.51
$470.08
$300.28
$299.87

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": [ "Sales Discount", "Sales Tax Calculation" ], "current_concepts": [ "Sales Discount", "Sales Tax Calculation", "Consumer Math" ] } ## Calculate the sale price of the paddleboard $$ \begin{aligned} P_{\text{original}} &= 899 \ \text{Discount Rate} &= 40\% = 0.40 \ P_{\text{sale}} &= 899 \times (1 - 0.40) \ P_{\text{sale}} &= 899 \times 0.60 = 539.40 \end{aligned} $$ ## Calculate the total price including sales tax $$ \begin{aligned} \text{Tax Rate} &= 7.25\% = 0.0725 \ P_{\text{total}} &= P_{\text{sale}} \times (1 + 0.0725) \ P_{\text{total}} &= 539.40 \times 1.0725 \ P_{\text{total}} &= 578.5065 \approx 578.51 \end{aligned} $$

(A) $449.51

(B) $470.08

(C) $578.51

(D) $299.07

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Consumer Math" ] }

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QUESTION IMAGE

Question

Explanation:

Calculate the sale price of the paddleboard

Calculate the total price including sales tax

Answer: