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ICE Princess25 [194]
3 years ago
15

A phone plan costs $10 per Month, +.03 per text message. John wants his phone bill to be less than $40, before taxes. What is th

e maximum number of text messages John can send
Mathematics
1 answer:
masha68 [24]3 years ago
5 0

Answer:

The maximum number of text message John can send is 100

Step-by-step explanation:

Given as :

The phone bill of the John = $ 10 per month + $ 0.3 per text message

John want his bill amount to be less than $ 40

Let The maximum number of text message John can send = n

According to question

The total bill amount = The cost of phone plan + rate of text message

I.e  $ 10 per month + $ 0.3 × maximum number of text message = $ 40

or, $ 0.3 × n = $ 40 - $ 10

Or, $ 0.3 × n = $ 30

∴  n = \frac{30}{0.3}

I.e n = 100

So,  The maximum number of text message John can send = n = 100

Hence The maximum number of text message John can send is 100 Answer

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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 )

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

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