1 answer:
Answer:
Let the 'cart' total is x and total payment is y.
The sales tax is 5.6% added to the 'cart' amount and then shipping and handling fee added.
<h3>Part A</h3>
<u>There are three intervals as below and function added accordingly:</u>
- 0 < x ≤ 49.99 ⇒ y = x + 5.6% + 3.95 = 1.056x + 3.95
- 50 ≤ x ≤ 75.99 ⇒ y = x + 5.6% + 11.95 = 1.056x + 11.95
- x ≥ 76 ⇒ y = x + 5.6% + 5.95 = 1.056x + 5.95
<h3>Part B</h3>
- x = 74.50, this falls in the second interval
- y = 74.50*1.056 + 11.95 = $90.62 (rounded )
<h3>Part C</h3>
y = 89.20, this is close to the number we got in part B and we assume it is same - the middle interval.
- 89.20 = 1.056x + 11.95
- 1.056x = 89.20 - 11.95
- 1.056x = 77.25
- x = 77.25 / 1.056
- x = 73.15 (rounded )
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- <em>Note. Shipping and Handling charges seems incorrectly ordered. If so the answers above all should change accordingly.</em>
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