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Studentka2010 [4]
3 years ago
13

You have a 10% off coupon for the paper towels that are 6.99. The tax rate is 8%. Find the discount amount and tax amount

Mathematics
1 answer:
ivolga24 [154]3 years ago
6 0

Answer:

The tax amount = $0.5592

The discount amount = $0.755

Step-by-step explanation:

Here, the Marked Price  of the paper towels  = $6.99

Now, the tax on the marked price = 8%

Calculating the tax amount on Marked price, we get:

8% of 7.99   =  \frac{8}{100}  \times 6.99  =  0.5592

So, the tax amount = $0.5592

Now, the Selling Price =  Marked Price+ Tax

=  $6.99 + $ 0.5592   =  $7.5492

⇒Selling Price  =   $7.5492

Calculating the discount amount on Selling price, we get:

10% of $7.5492   =  \frac{10}{100}  \times 7.5492  =  0.75492

So, the discount amount on selling price = $0.755

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The inscribed angle on the circumference of the circle subtended by the diameter at the center is a right angle

What can be said about segment AB is; Segment AB is the diameter of circle with midpoint at C

What can be said about angle BDA is; Angle BDA is an inscribed angle of the circle with midpoint at C, subtended by the diameter AB at the center

The measure of angle BDA is 90°

What can be said about angle BEA is; Angle BEA is an inscribed angle of the circle with midpoint at C, subtended by the diameter AB at the center

The measure of angle BEA is 90°

The given diagram shows;

Circle with midpoint <em>C</em>, along AB, and radius AC

The diameter of circle C = AB

Circle with midpoint <em>A</em>, intersecting with circle <em>C</em> at points <em>D</em> and <em>E</em>

Tangents from point B on circle, <em>C</em>, intersect with circle <em>A</em> at points <em>D</em> and <em>E</em>

<em> </em>

Required parameters;

  • What can be said about AB

The segment AB is a line that intersects the circle <em>C</em> at two points and also passes through the the point <em>C</em> which is the center of the circle <em>C</em>

Therefore, the segment AB is the diameter of the circle with center at <em>C</em>

  • What can be said about angle BDA

The angle BDA is the inscribed angle of circle <em>C</em> subtended by the points <em>A</em> and <em>B</em> which specifies the diameter of the circle with midpoint <em>C</em>

Therefore, the angle BDA is subtended by the diameter of the circle at the center

According to circle theorem, we have;

Angle subtended at the center = 2 × The angle subtended at the circumference

The angle subtended at the center by the diameter AB = 180° (Angle on a straight line)

Therefore;

The angle subtended at the center = 180° = 2 × Angle BDA

Angle BDA = 180°/2 = 90°

Angle BDA  = 90°

  • What can be said about angle BEA

Similarly, we have;

The angle subtended at the center = 180° = 2 × Angle BEA

Angle BEA = 180°/2 = 90°

Angle BEA = 90°

Find out more about inscribed angles of a circle here:

brainly.com/question/17021375

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3 years ago
Find and interpret the mean absolute deviation of the data. 8,12,4,3,14,1,9,13
melomori [17]

Answer:

8

Step-by-step explanation:

8+12+4+3+14+1+9+13=64, 64/8=8

7 0
2 years ago
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A recent survey by the cancer society has shown that the probability that someone is a smoker is P(S)=0.29. They have also deter
GuDViN [60]

<u>Answer:</u>

The correct answer option is P (S∩LC) = 0.16.

<u>Step-by-step explanation:</u>

It is known that the probability if someone is a smoker is P(S)=0.29 and the probability that someone has lung cancer, given that they are also smoker is P(LC|S)=0.552.

So using the above information, we are to find the probability hat a random person is a smoker and has lung cancer P(S∩LC).

P (LC|S) = P (S∩LC) / P (S)

Substituting the given values to get:

0.552 = P(S∩LC) / 0.29

P (S∩LC) = 0.552 × 0.29 = 0.16

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Answer:

You need to attach a picture or something.

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In a pen of goats and chickens, there are 40 heads and 150 feet. How many goats and chickens are in the pen?
s2008m [1.1K]

Hey there!!

A chicken has 1 head and 2 feet . A goat has 1 head and 4 feet

For heads, total = 40

Let us take the number of chickens as ' x ' and goats as ' y '

x + y = 40 ------------- ( 1 )

2x + 4y = 150 ----------- ( 2 )

Multiply the first equation with 2

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Subtract the first equation from the first

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y = 35

Number of goats = 35

substitute this in other equation

x + y = 40

x + 35 = 40

x = 5

Number of chickens are 4

Hope it helps!

6 0
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