An average is just the total attendance numbers / the number of performances.
Let's let the number of people in the third show be equal to x so we can write this as a formula, it's easier to read. x is just "some number we don't know"
The average is
Average=Total attendance/3
So
3000=(2580+2920+x)/3
So let's multiply by that 3 on both sides, make x easier to find
Average*3=2580+2920+x ( * means multiplied)
The average is 3000
So
2580+2920+x=3000*3
2580+2920+x=9000
Then we subtract those other attendances to get x on its own.
x=9000-2580-2920
x=3500
Answer:
Step-by-step explanation:
the formula used for any interest other then continuously is
A=P(1+r/n)^nt
so... r=rate in decimal form ONLY n=how often interest is paid t=time passed
A=3000(1+.08/1)^(1)(5) = annually
A=3000(1+.08/2)^(2)(5)
A=3000(1+.08/4)^(4)(5)
use you calculator to get the answer
it is good practice to use your calculator now because soon you will be using it for population questions and those need to be entered very carefully.
<u>Answer</u>
0
<u>Explanation</u>
(2m)/(2m+3)-(2m)/(2m-3)=1
Simplifying the left hand first
(2m)/(2m+3)-(2m)/(2m-3) = {2m(2m-3) - 2m(2m+3)}/(4m²-9)
(4m²-6m-4m²-6m)/(4m²-9)
= (-12m) / (4m²-9)
Now this equet to 1
(-12m) / (4m²-9) = 1
-12m = 4m²-9
4m²+ 12m -9 =0 ⇒⇒⇒ This is a quadratic equation that has 2 real solutions.
4m²+ 12m -9 =0
m² + 3m + (3/2)²= 9/4 + 9/4
(m + 3/2)² = 18/4
m = √18/2 - 3/2 or m = -√18/2 - 3/2
= 0.621 = -3.621
So we can say that the equation has NO extraneous solutions.
Answer = 0