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ivanzaharov [21]
3 years ago
7

A camera costs $129 at a store in Sugar Land. The whole store is 30% off and then customers pay 8% sales tax on the sale price.

What is the final cost of the camera? *
Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
7 0

Answer:

$97.524

Step-by-step explanation:

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Determine whether the sequence converges or diverges. if it converges, find the limit. (if an answer does not exist, enter dne.
Arada [10]

The sequence a_n=\frac{n^2}{n^3+5n} diverges.

For given question,

We have been given a sequence a_n=\frac{n^2}{n^3+5n}

We need to determine whether the sequence converges or diverges.

From given sequence we have, a_{n+1}=\frac{(n+1)^2}{(n+1)^3+5(n+1)}

We use Ratio Test.

According to Ratio Test, r=\frac{a_{n+1}}{a_n}, where sequence converges if and only if |r| < 1.

Consider,

\lim_{n \to \infty} |\frac{a_{n+1}}{a_n} |\\\\= \lim_{n \to \infty} |\frac{\frac{(n+1)^2}{(n+1)^3+5(n+1)}}{\frac{n^2}{n^3+5n}} |\\\\\\= \lim_{n \to \infty} |\frac{(n+1)^2(n^3+5n)}{n^2[(n+1)^3+5(n+1)]} |\\\\=\infty

Since \lim_{n \to \infty} |\frac{a_{n+1}}{a_n} | is not defined, the sequence a_n=\frac{n^2}{n^3+5n} diverges.

Therefore, the sequence a_n=\frac{n^2}{n^3+5n} diverges.

Learn more about the sequence here:

brainly.com/question/17175513

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4 0
2 years ago
The total cost after tax to repair Deborah’s computer is represented by 0.09(60h)+60h, where h represents the number of hours it
tia_tia [17]

Answer:

0.09 OR 9% is her tax

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Deborah has to pay 9% for tax. So is someone worked on her computer for two hours then she pays 9% on $120 worth of work. So her tax amount would be $10.800 and her total amount would be 10.8 +120 = $130.80.

4 0
4 years ago
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