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oee [108]
3 years ago
6

There are 2,000 players in a basketball tournament. In each round, half of the players are eliminated. Which function can be use

d to find the number of players remaining in the tournament at the end of x rounds?
Mathematics
1 answer:
Luda [366]3 years ago
5 0

Answer:

Step-by-step explanation:

Left = 2000 * (1/2)^x

Try it.

x = 1

Left = 2000 * (1/2)^1

left = 2000  * 1/2

left = 1000

x = 3

left = 2000 (1/2)^3

left = 2000 (1/8)

left = 250

x = 4

left = 2000 * (1/16)

left = 125

from her on the function does not work accurately. You have to modify the algorithm.

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Jess deposited $5,000 into an account that earns simple interest. After 9 years, Jess had earned $3,150 in interest. What was th
musickatia [10]

Answer:

The interest rate of Jess's account was 7%

Step-by-step explanation:

A = P * (1 + rt)

A = final amount

P = initial principal balance

r = annual interest rate

t = time (in years)

Replacing with the values we know:

A =  P * (1 + rt)

8,150 = 5,000 * (1 + r * 9)

8,150/5,000 = 1 + 9r

1.63 = 1 + 9r

1.63 - 1 = 9r

0.63 = 9r

r = 063/9

r = 0.07 = 7%

The interest rate of Jess's account was 7%

4 0
3 years ago
Read 2 more answers
Trigonometry
Natasha_Volkova [10]

Answer:

Step-by-step explanation:

For a triangle the area is

A=\frac{1}{2}bh

If our triangle is isosceles and the 2 congruent sides each measure 4 and they include an angle of 40 degrees, let's say that the vertex angle is 40 and the sides that are not the base each measure 4.  If we drop an altitude from the vertex to the base, we cut the triangle into 2 right triangles, with the vertex angle being 20 degrees and the hypotenuse being 4.  To find the base, then, which is opposite the angle, we use the sin ratio:

sin(20)=\frac{b}{4} and

4sin(20) = b so

b = 1.368

But we need the whole base, and that is only half of it.  So

2b = 2.736

To find the height, which is adjacent to the angle, we use the cos ratio:

cos(20)=\frac{h}{4} and

4cos(20) = h so

h = 3.759

Now we have enough info to find the area of the triangle using the triangle area formula from above:

A=\frac{1}{2}(2.736)(3.759) and

A = 5 meters squared.

7 0
3 years ago
Help please! tyssssm!
Lubov Fominskaja [6]

Answer:

B. Negative

⁄(⁄ ⁄•⁄ω⁄•⁄ ⁄)⁄

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Degger [83]

Answer:

1) 0.75

2) y = \frac{3}{4}x - 3

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Step-by-step explanation:

Convert to slope-intercept form (y = mx + b) by solving:

y = \frac{3}{4}x - 3

m is the slope, so \frac{3}{4} or you can write as 0.75.

To find the x and y intercepts, set the y value to zero and solve (x-intercept), and b is the y-intercept.

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Answer:

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