question 11 (multiple choice worth 1 points)
(01.01r, converting fractions to percents and decimals mc)

mikaela purchased a paddleboard originally priced at $699. 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?

$449.81
$470.08
$330.28
$299.87

Question

question 11 (multiple choice worth 1 points)
(01.01r, converting fractions to percents and decimals mc)

mikaela purchased a paddleboard originally priced at $699. 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?

$449.81
$470.08
$330.28
$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": [ "Percentage Calculations", "Sales Tax Calculations" ], "new_concepts": [], "current_concepts": [ "Percentage Calculations", "Sales Tax Calculations" ] } ## Calculate the sale price of the paddleboard $$ \begin{aligned} \text{Original Price} &= \$699 \ \text{Discount Rate} &= 40\% = 0.40 \ \text{Sale Price} &= 699 \times (1 - 0.40) \ &= 699 \times 0.60 \ &= 419.40 \end{aligned} $$ ## Calculate the total cost including sales tax $$ \begin{aligned} \text{Tax Rate} &= 7.25\% = 0.0725 \ \text{Total Cost} &= 419.40 \times (1 + 0.0725) \ &= 419.40 \times 1.0725 \ &= 449.8065 \ &\approx 449.81 \end{aligned} $$

(A) $449.81

(B) $470.08

(C) $330.28

(D) $299.87

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

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QUESTION IMAGE

Question

Explanation:

Calculate the sale price of the paddleboard

Calculate the total cost including sales tax

Answer: