At a local high school, enrollment in the drama club increases by 5% each year. what is the common ratio in this situation?

a) 0.05
b) 0.95
c) 1.05
d) 1.95

c)1.05

Step-by-step explanation:

We have to find the common ratio in given situation

Let initially number of students in  a school=x

Next year enrollment in the drama club increases=5% of x.

Next year enrollment in the drama club increases=

Next year number of students  will be in  a school=Initial students+5% of

Common ratio=Ratio of second term to first term

Common ratio=

Hence, the common ratio in the given situation =1.05

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x