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ad-work [718]
2 years ago
14

a used car dealer has a vehicle on the lot with a sticker price of $9999. if the dealer markup on used vehicles is 15%, how much

ded the dealer pay for the car
Mathematics
2 answers:
shepuryov [24]2 years ago
5 0
$8694.78

Hope this helps!
Aneli [31]2 years ago
4 0

Answer:

He paid approximately $ 8694.783 for the car.

Step-by-step explanation:

Let x be the price of car that dealer pay for the car,

Also, the markup percentage = 15 %,

Thus, the hike in the price = 15 % of the price paid by dealer

= 15 % of x

=\frac{15x}{100}

=0.15x

So, the sticker price of the car = The price paid by dealer + hike in the price

= x + 0.15x

= 1.15 x

Since, the sticker price = $ 9,999

\implies 1.15 x = 9999

\implies x = \frac{9999}{1.15}=8694.7826087\approx 8694.783

Hence, he paid approximately $ 8694.783 for the car.

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You have four socks in your drawer, 2 blue and 2 brown. You get up early in the morning while it's dark, reach into your drawer,
Vikentia [17]

Answer:

First Case: 1/3

Second Case: 12/25

Step-by-step explanation:

The first case

Number of Blue Socks: 2

Number of Brown Socks: 2

Note that the first sock is guaranteed to be of the same color as those chosen. It is the only second sock that has to match the color of the first sock

Probability of picking socks of same colour = Probability of picking 2 blue socks or Probability of 2 brown socks

Mathematically,

P(Same Color) = P(Blue Socks) * P(Brown Socks)

P(Blue Socks) = P(1st blue socks) * P(2nd blue socks)

P(Blue Socks) = 2/4 * 1/3 = 1/6

P(Brown Socks) = P(1st brown socks) * P(2nd brown socks)

P(Brown Socks) = 2/4 * 1/3 = 1/6

P(Same Color) = P(Blue Socks) * P(Brown Socks)

P(Same Color) = 1/6 + 1/6

P(Same Color) = 1/3

The second case

Number of Blue Socks: 13

Number of Brown Socks: 13

Note that the first sock is guaranteed to be of the same color as those chosen. It is the only second sock that has to match the color of the first sock

Probability of picking socks of same colour = Probability of picking 2 blue socks or Probability of 2 brown socks

Mathematically,

P(Same Color) = P(Blue Socks) * P(Brown Socks)

P(Blue Socks) = P(1st blue socks) * P(2nd blue socks)

P(Blue Socks) = 13/26 " 12/25 = 6/25

P(Brown Socks) = P(1st brown socks) * P(2nd brown socks)

P(Brown Socks) = 13/26 " 12/25 = 6/25

P(Same Color) = P(Blue Socks) * P(Brown Socks)

P(Same Color) = 6/25 + 6/25

P(Same Color) = 12/25

7 0
2 years ago
A jar of 150 jelly beans contains 22 red jelly beans, 38 yellow, 20 green, 28 purple, 26 blue, and the rest are orange.Let B = t
pentagon [3]

Answer:

P(R\ and\ B) = 0.0256

Step-by-step explanation:

Given

Red = 22

Yellow = 38

Green = 20

Purple = 28

Blue = 26

Orange = 16

Required

Determine the probability of red then blue jelly? i.e. P(R and B)

From the question, we understand that the red jelly bean was not replaced. This means that the number of jelly beans reduced by 1 after the picking of the red jelly bean

So, we have:

P(R\ and\ B) = P(R)\ and\ P(B)

This is then solved further as:

P(R\ and\ B) = P(R)\ *\ P(B)

P(R\ and\ B) = \frac{n(R)}{Total}\ *\frac{n(B)}{Total - 1}

The probability has a denominator of Total - 1 because the number of jelly beans reduced by 1 after the picking of the red jelly bean

The equation becomes:

P(R\ and\ B) = \frac{22}{150}\ *\frac{26}{150- 1}

P(R\ and\ B) = \frac{22}{150}\ *\frac{26}{149}

P(R\ and\ B) = \frac{22*26}{150*149}

P(R\ and\ B) = \frac{572}{22350}

P(R\ and\ B) = 0.02559284116

P(R\ and\ B) = 0.0256

3 0
2 years ago
Garth has x books which is 20 more books than Henrietta has. If Garth gives Henrietta 7 books how many books does Henrietta now
hammer [34]

Answer:

she should have x-27 books left

Step-by-step explanation:

7 0
2 years ago
Which expression could be used to determine the product of –4 and 3 and one - fourth?
ELEN [110]

The correct answer is (-4)(3)+(-4)(1/4)

3 0
2 years ago
Economists study the way society uses its resources. One important resource studied is agriculture. The recent increase in deman
Anon25 [30]

Answer:

Which is a reason that organic farming is more expensive than conventional farming?

Organic farmers must pay for a costly certification process

How many years must a farm be run organically before its produce can be labeled as “organic”?

3

What is a benefit of crop rotation?

Rotating crops can help build healthy soil.

Step-by-step explanation:

Just took the test!

8 0
2 years ago
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