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AlladinOne [14]
1 year ago
10

the company sea esta has ten members on its board of directors. in how many different ways can it elect a president, vice-presid

ent, secretary and treasurer?
Mathematics
1 answer:
Inessa [10]1 year ago
3 0

There are 10 members on the board, so there are 10 ways to elect a president, 9 ways to elect a vice president, 8 ways to elect a secretary, and 7 ways to elect a treasurer.

This is because each position can be filled by any of the members, except for the position that the member is already filling. For example, the president can be elected from any of the 10 members, but the vice president must be elected from the remaining 9 members.

The company sea esta has ten members on its board of directors, so it has a lot of different options for how to elect a president, vice-president, secretary, and treasurer. One way to elect a president would be to have the board members vote on who they want to be president.

Another way to elect a president would be to have the members of the company vote on who they want to be president. There are many different ways to elect officers, and it really depends on the company and what they want to do.

Learn more about election at : brainly.com/question/11185151

#SPJ4

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The midpoint of segment AB is (4, 2). The coordinates of point A are (2, 7). Find the coordinates of point B.
erastovalidia [21]

Answer:

<h3>The option B) is correct</h3><h3>Therefore the coordinate of B(x_2,y_2) is (6,-3)</h3>

Step-by-step explanation:

Given that the midpoint of segment AB is (4, 2). The coordinates of point A is (2, 7).

<h3>To Find the coordinates of point B:</h3>
  • Let the coordinate of A be (x_1,y_1) is (2,7) respectively
  • Let the coordinate of B be (x_2,y_2)
  • And Let M(x,y) be the mid point of line segment AB is (4,2) respectively
  • The mid-point formula is
<h3>M(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})</h3>
  • Now substitute the coordinates int he above formula we get
  • (4,2)=(\frac{2+x_2}{2},\frac{7+y_2}{2})
  • Now equating we get

4=\frac{2+x_2}{2}                    2=\frac{7+y_2}{2}

Multiply by 2 we get                             Multiply by 2 we get  

4(2)=2+x_2                                           2(2)=7+y_2

8=2+x_2                                                4=7+y_2

Subtracting 2 on both

the sides                                    Subtracting 7 on both the sides

8-2=2+x_2-2                                4-7=7+y_2-7

6=x_2                                                       -3=y_2

Rewritting the above equation      Rewritting the equation

x_2=6                                                      y_2=-3

<h3>Therefore the coordinate of B(x_2,y_2) is (6,-3)</h3><h3>Therefore the option B) is correct.</h3>

7 0
3 years ago
Question 2 (Essay Worth 10 points)
Soloha48 [4]

Answer:

Account A: Decreasing at 8 % per year

Account B: Decreasing at 10.00 % per year

Account B shows the greater percentage change

Step-by-step explanation:

Part A: Percent change from exponential formula

f(x) = 9628(0.92)ˣ

The general formula for an exponential function is

y = ab^x, where

b = the base of the exponential function.

if b < 1, we have an exponential decay function.

ƒ(x) decreases as x increases.

Account A is decreasing each year.

We can rewrite the formula for an exponential decay function as:

y = a(1 – b)ˣ, where

1 – b = the decay factor

b = the percent change in decimal form

If we compare the two formulas, we find

0.92 = 1 - b

b = 1 - 0.92 = 0.08 = 8 %

The account is decreasing at an annual rate of 8 %.The account is decreasing at an annual rate of 10.00 %.

Account B recorded a greater percentage change in the amount of money over the previous year.

5 0
2 years ago
Find the value of k for x^2 - 2kx+7k -12=0 so that they have two equal roots
Alisiya [41]

Step-by-step explanation:

x^2 -2kx +7k -12 = 0

two equal roots -->Δ = b^2 -4ac = 4k^2 - 4(7k-12)=0 = 4(k^2 - 7k +12)=4(k-4)(k-3)=0

so k =3 and k =4

5 0
3 years ago
Which answer choice do I choose?
Ratling [72]
The second answer is correct because in order for the ordered pairs to represent a function, there can only be 1 y value for every x value. The second option has 2 different y values for x = 3 so it is not a function.
The answer is the second option.
3 0
3 years ago
The perimeter of a rectangular 6-sided figure is 30 units, and the length of each side is x + 1 units. What is the value of x?
kiruha [24]
The value of x would be 6.5 because if you add 1 to 6.5 you get 7.5 and 7.5 multiplied by 4 is 30
4 0
3 years ago
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