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3 years ago

Problem 2

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

8 0

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.

<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

x = 74.50, this falls in the second interval
y = 74.50*1.056 + 11.95 = $90.62 (rounded )

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 )

-----------------------------------------

<em>Note. Shipping and Handling charges seems incorrectly ordered. If so the answers above all should change accordingly.</em>

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