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Ghella [55]
3 years ago
5

5.5% tax on a $309.95 purchase

Mathematics
2 answers:
Zina [86]3 years ago
7 0

Answer:

$17.05 tax.

Step-by-step explanation:

multiply 309.95 by .055 to get 17.04725


the tax on a 309.95 purchase is about 17 dollars and 5 cents.

oksano4ka [1.4K]3 years ago
6 0

To find a 5.5% tax on $309.95, you need to multiply them together.

5.5% x 309.9

= 0.55 x 309.9

= 170.445

≈ $170.45

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Answer:

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<u>Algebra I</u>

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  • Antiderivatives
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Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = \frac{1}{\sqrt{800-2x} }

<u>Step 2: Identify Variables</u>

<em>Using U-Substitution, we set variables in order to integrate.</em>

u = 800-2x\\du = -2dx

<u>Step 3: Integrate</u>

  1. Define:                                                                                                            \int {f(x)} \, dx
  2. Substitute:                                                                                         \int {\frac{1}{\sqrt{800-2x} } } \, dx
  3. [Integral] Int Property:                                                                                     -\frac{1}{2} \int {\frac{-2}{\sqrt{800-2x} } } \, dx
  4. [Integral] U-Sub:                                                                                           -\frac{1}{2} \int {\frac{1}{\sqrt{u} } } \, du
  5. [Integral] Rewrite:                                                                                          -\frac{1}{2} \int {u^{-\frac{1}{2} }} \, du
  6. [Integral - Evaluate] Reverse Power Rule:                                                 -\frac{1}{2}(2\sqrt{u}) + C
  7. Simplify:                                                                                                         -\sqrt{u} + C
  8. Back-Substitute:                                                                                            -\sqrt{800-2x} + C
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We know from a real number line that we cannot have imaginary numbers. Therefore, we cannot have any negatives under the square root.

Our domain for our integrated function would then have to be (-∞, 400]. Anything past 400 would give us an imaginary number.

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