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2 years ago

A new car has a sticker price of $20,950, while the invoice price paid was $18,750. What is the percentage markup?

Mathematics

2 answers:

stich3 [128]2 years ago

8 0

About 12% (rounded up)

earnstyle [38]2 years ago

6 0

Answer:

The markup percentage is 11.73%.

Step-by-step explanation:

Given,

The sticker price of car = $20,950,

While, the invoice price of car = $18,750

$\text{ Markup percentage}=\frac{\text{The sticker price of car - the invoice price of car }}{\text{The invoice price of car }}$

$=\frac{20,950-18,750}{18,750}\times 100$

$=\frac{220000}{18,750}$

$=11.7333\% \approx 11.73\%$

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You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week

aliya0001 [1]

Answer:

$q = -6p + 104$

Step-by-step explanation:

Linear function:

A linear function has the following format:

$q = mp + b$

In which m is the slope and b is the q-intercept.

One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.

This means that we have these following points: (4,80), (10,44).

Finding the slope:

With a pair of points, the slope is given by the change in q divided by the change in p.

Change in q: 44 - 80 = -36

Change in p: 10 - 4 = 6

Slope: $m = \frac{-36}{6} = -6$

$q = -6p + b$

Finding b:

We replace one of the points. Replacing (4,80).

$q = -6p + b$

$80 = -6*4 + b$

$b = 104$

$q = -6p + 104$

7 0

2 years ago

A card is drawn from a deck of cards numbered one through twenty. The card is NOT replaced and another card is drawn. Find the p

Bess [88]

Answer:

B) P(two prime numbers are drawn in a row) = 14/95

Step-by-step explanation:

Total cards in the deck = 20

Total prime numbered cards in deck = { 2, 3, 5, 7, 11, 13, 17, 19} = 8 cards

So, Probability of picking two prime cards from deck (without replacing)

= Probability of picking first prime card x Probability of picking second prime card

P( picking first prime card ) = $\frac{\textrm{Total prime cards in the deck}}{\textrm{Total available cards}}$

= $\frac{8 }{20} = \frac{2}{5}$

P( picking second prime card ) = $\frac{\textrm{Total prime cards in the deck}}{\textrm{Total available cards}}$

= $\frac{7}{19}$

Hence, the total probability = $\frac{2}{5} \times \frac{7}{19} = \frac{14}{95}$

or, B) P(two prime numbers are drawn in a row) = 14/95

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2 years ago

The areas of the squares created by the side lengths of the triangle are shown. Which best explains whether this triangle is a r

nikitadnepr [17]

Answer:

Based on the converse of the Pythagorean Theorem, the triangle is not a right triangle, because $9+12\neq 15$

Step-by-step explanation:

The complete question in the attached figure

we know that

If the length sides of a triangle, satisfy the Pythagorean Theorem, then is a right triangle

$c^2=a^2+b^2$

where

c is the hypotenuse (the greater side)

a and b are the legs

In this problem

The length sides squared of the triangle are equal to the areas of the squares

$c^2=15\ in^2$

$a^2=12\ in^2$

$b^2=9\ in^2$

substitute

$15=12+9$

$15=21$ ----> is not true

The length sides not satisfy the Pythagorean Theorem

therefore

Based on the converse of the Pythagorean Theorem, the triangle is not a right triangle, because $9+12\neq 15$

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2 years ago

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Stuart defines a rhombus as a quadrilateral with 4 congruent sides. Is Stuart's

SIZIF [17.4K]

Yes his definition is valid.

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2 years ago

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What is the value of x? Enter your answer as a decimal to the nearest tenth in the box.

gogolik [260]

ANSWER

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EXPLANATION

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The hypotenuse is 27 ft.

The given angle I s 29°

The unknown side x, is adjacent to the given angle.

We use the cosine ratio to get,

$\cos(29 \degree) = \frac{adjacent}{hypotenuse}$

$\cos(29 \degree) = \frac{x}{27}$

We multiply both sides by 27 to get;

$x = 27\cos(29 \degree)$

$x = 23.6ft$

to the nearest tenth.

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1 year ago

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