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mamaluj [8]
3 years ago
10

Alicia took a friend for a birthday dinner. The total bill for dinner was $40.86 (including tax and a tip). If Alicia paid a 20.

7% tip, what was her bill before adding the tip?
PLEASE SHOW WORK
Mathematics
1 answer:
solniwko [45]3 years ago
4 0

Answer:

$33.85

Step-by-step explanation:

Let X be the initial bill:

(100 + 20.7)% of X was paid

120.7/100 × X = 40.86

X = 40.86 × 100/120.7

X = 33.85252693

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omar tariq has a credit card that uses the unpaid balance method to compute the finance charge. His monthly periodic rate is 2.4
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Answer:

(a) unpaid balance = $667.95

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(c) his new balance = $683.98

Step-by-step explanation:

In the question, we are given the following:

Monthly periodic rate = 2.4%, or 0.024

Curren charges = $256.28

Total payment made = $350

Finance charge = $18.28

Therefore, we now proceed as follows:

(a) unpaid balance

This can be calculated as follows:

Unpaid balance = Previous balance + Current charges - Total payment made ................. (1)

Note that from part (b), Previous balance is equal to $761.67.

Substituting this and other values from the question into equation (1), we have:

Unpaid balance = $761.67 + $256.28 - $350 = $667.95

(b) Previous balance

This can be calculated as follows:

Previous balance = Finance charges / Monthly periodic rate = $18.28 / 2.4% = $18.28 / 0.024 = $761.67

(c) his new balance

This can be calculated as follows:

New balance = Unpaid balance * (1 + Monthly periodic rate) = $667.95 * (1 + 2.4%) = $667.95 * (1 + 0.024) = $667.95 * 1.024 = $683.98

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