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3 years ago

12

A TV has a listed price of $579.98 before tax. If the sales tax rate is 9.75% , find the total cost of the TV with sales tax inc

luded.
Round your answer to the nearest cent, as necessary.

1 answer:

Delvig [45]3 years ago

5 0

Answer:

$636.53

Step-by-step explanation:

Tax: 9.75/100 × 579.98

= 56.54805

Total cost = 579.98 + tax

= 636.52805

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Can someone please explain this to me? Thanks!

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Answer: Choice D

$\displaystyle F\ '(x) = 2x\sqrt{1+x^6}\\\\$

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Explanation:

Let g(t) be the antiderivative of $g'(t) = \sqrt{1+t^3}$ . We don't need to find out what g(t) is exactly.

Recall by the fundamental theorem of calculus, we can say the following:

$\displaystyle \int_{a}^{b} g'(t)dt = g(b)-g(a)$

This theorem ties together the concepts of integrals and derivatives to show that they are basically inverse operations (more or less).

So,

$\displaystyle F(x) = \int_{\pi}^{x^2}\sqrt{1+t^3}dt\\\\ \displaystyle F(x) = \int_{\pi}^{x^2}g'(t)dt\\\\ \displaystyle F(x) = g(x^2) - g(\pi)\\\\$

From here, we apply the derivative with respect to x to both sides. Note that the $g(\pi)$ portion is a constant, so $g'(\pi) = 0$

$\displaystyle F(x) = g(x^2) - g(\pi)\\\\ \displaystyle F \ '(x) = \frac{d}{dx}[g(x^2)-g(\pi)]\\\\\displaystyle F\ '(x) = \frac{d}{dx}[g(x^2)] - \frac{d}{dx}[g(\pi)]\\\\ \displaystyle F\ '(x) = \frac{d}{dx}[x^2]*g'(x^2) - g'(\pi) \ \text{ .... chain rule}\\\\$

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<h3>Further explanation</h3>

<u>Problem:</u> The given number is 826,140.

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<u>The Process:</u>

This is a problem with place value.

Let us set the place values from 826,140 consecutively as follows.

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In the units period: 1 hundreds 4 tens 0 ones.

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<u>Extra:</u>

What is the value of the digit 6 in the numbers 826,140? The answer is 6,000 or six thousand.

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<u>Notes:</u>

Recall that the digits in large numbers are in groups of three places, i.e.,

hundreds,
tens, and
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The groups are called periods, i.e.,

millions period
thousands period
ones or units period

Commas are typically used to separate the periods.

<h3>Learn more</h3>

Some similar problems brainly.com/question/106975 and brainly.com/question/547255
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