natasha makes an online purchase of 3 hard - cover books for $19.95 each and 1 book on tape for $17.43. the…

natasha makes an online purchase of 3 hard - cover books for $19.95 each and 1 book on tape for $17.43. the site says that taxes paid by the customer are 7.25% of the total purchase price. shipping charges are based on the following table:\n| amount of purchase | standard shipping | express shipping |\n| ---- | ---- | ---- |\n| up to $50 | $5.10 | $7.00 |\n| $50 up to $100 | $6.35 | $8.20 |\n| $100 up to $200 | $7.80 | $11.60 |\n| $200 and over | $10.50 | $16.45 |\nnatasha selects standard shipping for her purchase and the company bills her credit card $91.08 for the total of the online purchase. determine if natasha has been billed correctly for her purchase.\n a. natasha has been billed correctly.\n b. natasha has not been charged enough for her purchase.\n c. natasha has been over - charged by $1.85 for her purchase.\n d. natasha has been over - charged by $8.20 for her purchase.
Answer
Explanation:
Step1: Calculate the cost of the hardcover books.
$$ 3 \times $19.95 = $59.85 $$
Step2: Calculate the total purchase price (cost of items).
$$ $59.85 + $17.43 = $77.28 $$
Step3: Calculate the sales tax (7.25% of purchase price).
$$ \text{Sales Tax} = $77.28 \times 0.0725 \approx $5.60 $$
Step4: Determine the standard shipping cost based on the purchase price.
The purchase price ($77.28) is between $50 and $100. $$ \text{Standard Shipping Cost} = $6.35 $$
Step5: Calculate the total cost Natasha should have been billed.
$$ \text{Total Cost} = \text{Purchase Price} + \text{Sales Tax} + \text{Shipping Cost} $$ $$ \text{Total Cost} = $77.28 + $5.60 + $6.35 = $89.23 $$
Step6: Compare the calculated total cost with the billed amount.
$$ \text{Billed Amount} = $91.08 $$ $$ \text{Difference} = \text{Billed Amount} - \text{Calculated Total Cost} $$ $$ \text{Difference} = $91.08 - $89.23 = $1.85 $$ Natasha was billed $1.85 more than the correct amount.
Answer:
c. Natasha has been over charged by $1.85 for her purchase.