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Effectus [21]
1 year ago
12

8.3.10 Dave is playing blackjack at his local casino. He starts with $1,000 and on each hand he bets 50% of his money. If he win

s a hand, then he wins whatever he bet, but if he loses a hand, then he loses whatever he bet. After playing 5 hands, he has won 3 hands and has lost 2 hands. How much money does Dave have after the 5 hands? Does it matter which 3 of the 5 hands he won?
Hint: It's often best to think of percent increases and decreases in terms of multiplying the original quantity by some number.
Hint: Suppose Dave has $x before betting half his money on a hand. How much will he have if he wins? How much will he have if he loses?
Mathematics
2 answers:
kherson [118]1 year ago
8 0
3 wins 2 looses 843.75
aleksandr82 [10.1K]1 year ago
4 0

Answer:

The amount Dave got after 3 wins and 2 loose is $843.75. The order of win and loose doesn't matter.

Step-by-step explanation:

- We are given with a word problem

- We are asked to find the amount he had after 5 hands

- We can do this in two steps

Step 1 : Identifying the percentages

Step 2 : Finding the amount left

Step 1 of 2

We are given with a word problem. He bets 50% of his money. If he wins he get his bet, if he loose he will loose the money too. If he wins he will get the money as 150%.

That is, 1.5

If he loose he will loose money by 50%

That is, 0.50

Step 2 of 2

The amount got after 5 hands with 3 wins and 2 loose is,

$$\begin{gathered}1000 \times(1.5)^{3} \times(0.5)^{2}=1000 \times 3.375 \times 0.25 \\1000 \times 0.84375=843.75\end{gathered}$$

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anyanavicka [17]

Answer:

47

Step-by-step explanation:

this is due to when 286 is divided by 61 it gets 40 and the remainder gets you 7 as a result it is 47

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Step 1) Draw a line from point F to point S. A rectangle forms (rectangle FSCW)

Step 2) Find the area of this rectangle. The area is 18 square units because it is 2 units high and 9 units across (9*2 = 18). You can count out the spaces or you can note how we go from x = -4 to x = 5 so subtracting the values gives -4-5 = -9 which has an absolute value of 9. 

Step 3) Find the area of triangle FSN. The base is 9 units and the height is 6 units (count out the spaces or subtract y values). So the area is A = b*h/2 = 9*6/2 = 54/2 = 27

Step 4) Add up the area of the rectangle to the area of the triangle: 18+27 = 45

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6 0
3 years ago
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A company earns a profit of $100 the first month it is in business. Every month after that, the company earns a profit that is 1
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Answer:

506.25

Step-by-step explanation:

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6 0
3 years ago
How do you add vectors? Add the vector <3,4> to the vector that goes 7 units at an angle of 2π/3.
lawyer [7]

Answer:

The sum of the two vectors is the vector <-0.5 , 4+3.5\sqrt{3} >

Step-by-step explanation:

The horizontal component (x) of a vector whose magnitude is b units and its direction is Ф° is b cos Ф

The vertical component (y) of a vector whose magnitude is b and its direction is Ф is b sin Ф

The vector is <b cos Ф , b sin Ф>

∵ The vector goes 7 units at an angle \frac{2\pi }{3}

- That means its magnitude is 7 and its direction is  \frac{2\pi }{3}

∴ x = 7 cos(  \frac{2\pi }{3} )

∴ y = 7 sin(  \frac{2\pi }{3} )

∵ cos(  \frac{2\pi }{3} ) =  -\frac{1}{2}

∵ sin(  \frac{2\pi }{3} ) =  \frac{\sqrt{3}}{2}

- Substitute them in x and y

∴ x = (7)( -\frac{1}{2} )

∴ x = -3.5

∴ y = (7)( \frac{\sqrt{3}}{2} )

∴ y = 3.5\sqrt{3}

∴ The vector is <-3.5 , 3.5\sqrt{3}>

Now lets add the vectors by adding xs and ys components

∵ <3 , 4> + <-3.5 , 3.5\sqrt{3} > = <3 + -3.5 , 4 + 3.5\sqrt{3} >

∴  <3 , 4> + <-3.5 , 3.5\sqrt{3}> = <-0.5 , 4+3.5\sqrt{3} >

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Darya [45]

(a) Without solving the equation we can't determine whether its true or false.

(b) If x = 3

4x + 1 = 2x + 5

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No, if x = 3, the equation will not be true.

(c) 4x + 1 = 2x + 5

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2x = 4

x = 4/2

x = 2

This shows that x = 2 makes the equation true.

8 0
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