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Agata [3.3K]
3 years ago
11

Jana bought a car for $4200 and later sold it for a 30% profit. How much did Jana sell the car for?

Mathematics
1 answer:
Citrus2011 [14]3 years ago
8 0
<span>Jana bought a car for $4200 and later sold it for a 30% profit. How much did Jana sell the car for? $1260</span>
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A single card is drawn from a standard​ 52-card deck. Let D be the event that the card drawn is a black card​, and let F be the
Svetllana [295]

Answer:

\dfrac{25}{26}

Step-by-step explanation:

Let

  • D be the event that the card drawn is a black card​
  • F be the event that the card drawn is a 10 card
  • F' be the event that the card drawn is not a 10 card

The probability

Pr(D\cup F')=Pr(D)+Pr(F')-Pr(D\cap F')\\

Note that

Pr(D)=\dfrac{26}{52}=\dfrac{1}{2}\\ \\Pr(F)=\dfrac{4}{52}=\dfrac{1}{13}\\ \\Pr(F')=1-\dfrac{1}{13}=\dfrac{12}{13}\\ \\Pr(D\cap F')=\dfrac{24}{52}=\dfrac{6}{13}

So,

Pr(D\cup F')=\dfrac{1}{2}+\dfrac{12}{13}-\dfrac{6}{13}=\dfrac{25}{26}

8 0
3 years ago
Which unite rate is the lowest price per ounce?
crimeas [40]
3.49/25 = $0.14 per ounce
4.79/40 = $0.12 per ounce
Choice B has a lower price per ounce
5 0
3 years ago
Find an equation of the sphere that passes through the point (6, -2, 3) and has center (-1, 2, 1). Find the curve in which the s
svet-max [94.6K]

Answer:

A)  x^2 + 2x+ y^2 - 4y + z^2 - 2z - 63 = 0

B) radius = 5

center  = (4,-1,-3)

Step-by-step explanation:

x^2 + y^2 + z^2 - 8x + 2y + 6z + 1 = 0

A ) Determine the curve in which the sphere intersects the yz-plane

determine the radius ( r ) =  √((6-(-1))2+(-2-2)2+(3-1)2) = √69

next the equation of the sphere ( curve in which the sphere intersects the yz-plane )

x^2+2x+y^2-4y+z^2-2z-63 = 0

B) determine the center and radius of the sphere

X^2 + y^2 + z^2 -8x + 2y +6z + 1 = 0

(x-4)2+(y+1)2+(z+3)2 = 25 = 52

radius = 5

center  = (4,-1,-3)

5 0
3 years ago
What is the product of (4x)(-3x^8)(-7x^3)
Semenov [28]

(4x)(-3x^8)(-7x^3)

4 (-3)(-7) = 84

x(-x^8)(-x^3) = x^(1 + 8 + 3) = x^12

Answer: 84x^12

4 0
4 years ago
Is this correct?<br> (I am checking my answers)
Rus_ich [418]

x km : 7,735 m

kilometers : meters = 1 : 1,000

(1 meter) ÷ (1,000)

1 meter = 0.001 km

7,735 meters = 7.735

Correct Answer = A) 7.735 km

5 0
3 years ago
Read 2 more answers
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