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gtnhenbr [62]
3 years ago
15

If you purchase an ipod that costs $339, how much sales tax will you pay if the rate is 8.375%?

Mathematics
1 answer:
Dominik [7]3 years ago
6 0

The sales tax amount is $ 28.4

<em><u>Solution:</u></em>

Given that you purchase an ipod that costs $339

The tax rate is 8.375 %

To find: Sales tax amount

From given,

Cost price = $ 339

Tax rate = 8.375 %

Therefore, sales tax amount is 8.375 % of cost price

Sales\ Tax\ Amount = 8.375 \% \text{ of } 339\\\\Sales\ Tax\ Amount = 8.375 \% \times 339\\\\Sales\ Tax\ Amount = \frac{8.375}{100} \times 339\\\\Simplify\ the\ above\ expression\\\\Sales\ Tax\ Amount = 0.08375 \times 339\\\\Sales\ Tax\ Amount = 28.39125 \approx 28.4

Thus sales tax amount is $ 28.4

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Answer:

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18. 18 (as shown)

19. 10/3 = 3 1/3

20. 20/3 = 6 2/3

Step-by-step explanation:

17. For this, you can subtract the given length GB=12 from the length you found for problem 18, BF=18. Doing that tells you FG = 18-12 = 6, as you have marked on the diagram.

19. As with median BF, the point G divides it into two parts that have the ratio 1:2. The distance from G to D is the shorter of the distances, so you have ...

... GD = (1/3) CD = (1/3)·10 = 10/3

... GD = 3 1/3

20. You can subtract GD from CD to get CG, or you can multiply CD by 2/3. The result is the same either way.

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_____

<em>Comment on centroid and median</em>

The centroid (G) divides each median into parts in the ratio 1:2. Hence the shorter of those parts is half the length of the longer one, or 1/3 the total length of the median.

The longer of the parts is double the length of the shorter one, or 2/3 the total length of the median.

Your marking of median BF seems to show an understanding of these relationships. (Total length: 18; length of parts: 6 and 12.)

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Please answer correctly show work and no links thanks!
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