When I started here, there were 500 employees. Since then, we have added 35% more employees, so we now have a total of __________ employees.

Answers

Answer 1
Answer: Number of employees when i initially started = 500
Percentage increase in the number of employees = 35%
Then
Increase in the number of employees = (35/100) * 500
                                                             = 35 * 5
                                                             = 175
So the total number of employees = 500 + 175
                                                       = 675
So now we have a total of 675 employees. I hope the procedure is not that complicated for you to understand. You can generally use this method for solving similar type of problems in future without requiring any help from anyone.

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In how many ways can 12 basketball players be listed in a program?A. 12

B. 479,001,600

C. 665,280

D. 1

Answers

Answer:  B. 479,001,600

Step-by-step explanation:

We know that the number of possible combination objects from a set where order matters is given by using permutations.

Given: The number of basketball players = 12

By using permutations, the number of ways the basketball players can be listed is given by :-

12!=12*11*10*9*8*7*6*5*4*3*2*1\n\n=479,001,600

Answer:

B. 479001600

Step-by-step explanation:

We are asked to find the number of ways can 12 basketball players be listed in a program.

We will use permutations to solve our given problem.

There are 12 ways to choose 1st player for the team.

Since 1 player is already chosen, so we can choose 2nd player in 11 ways. Similarly we can choose 3rd player in 10 ways.

\text{The number of ways 12 basketball players to be listed in a program}=12!

12!=12*11*10*9*8*7*6*5*4*3*2*1

\text{The number of ways 12 basketball players to be listed in a program}=479001600

Therefore, in 479001600 ways can be 12 basketball players be listed in a program and option B is the correct choice.

(ASAPPP) The position of an object at time t is given by s(t) = -2 - 6t. Find the instantaneous velocity at t = 2 by finding the derivative.

Answers

Answer:

The instantaneous velocity at t = 2 is -6.

Step-by-step explanation:

We have the position as the function

s(t) = -2 - 6t

As we know that the velocity is the rate of change of position over time, so it is basically the derivative of the function.

so finding the derivate of  s(t) = -2 - 6t

s'(t)=-6

The instantaneous velocity at t = 2

s'(2)=-6

Therefore, the instantaneous velocity at t = 2 is -6.

Please note that the negative value indicates the direction of movement, in this case, it would be backward.

In the school cafeteria, students choose their lunch from 3 sandwiches, 3 soups, 4 salads, and 2 drinks.How many different lunches are possible for a student who chooses exactly 1 sandwich, 1 soup, 1 salad, and 1 drink?

Answers

The student can choose any one of 3 sandwiches. For each of those . . .
He can choose any one of 3 soups.  For each of those . . .
He can choose any one of 4 salads.  For each of those . . .
He can choose either one of 2 drinks.

Total possibilities = (3 x 3 x 4 x 2) = 72 different lunches.

You borrow $90 from Grandma. You pay back $15 a week. Write an equation in standard form that represents the amount owed(y) after x weeks.

Answers

y=90-15x\n\nx\in\{0;\ 1;\ 2;\ 3;\ 4;\ 5;\ 6\}

The possible outcomes for tossing a coin four times are shown below.1. T-T-T-T 5. T-H-T-T 9. H-T-T-T 13. H-H-T-T
2. T-T-T-H 6. T-H-T-H 10. H-T-T-H 14. H-H-T-H
3. T-T-H-T 7. T-H-H-T 11. H-T-H-T 15. H-H-H-T
4. T-T-H-H 8. T-H-H-H 12. H-T-H-H 16. H-H-H-H
Tails = T Heads = H

If a coin is tossed four times, what is the probability of getting exactly zero heads?

Answers

Hello,

TTTT=>(1/2)^4=1/16
=================

Answer:

TTTT=>(1/2)^4=1/16

How do i work out:
(y+3) (y-3)
------- = --------- + 2
4 5

Answers

y=13

(when you have fractions like the one in this problem, you get rid of them by multiplying both sides by the denominator.)