Answer:

Step-by-step explanation:
We are given the following in the question:
The numbers of teams remaining in each round follows a geometric sequence.
Let a be the first the of the geometric sequence and r be the common ration.
The
term of geometric sequence is given by:


Dividing the two equations, we get,

the first term can be calculated as:

Thus, the required geometric sequence is

Answer:
9x-5
Step-by-step explanation:
(4x-6)+(5x+1)
remove parentheses
4x-6+5x+1
collect like terms
9x-5
Answer:
2x + 20 = 3x-10
2x -3x = -20-10
-x = -30
x= 30
Checking part:
2x+20 = 2(30) +20 = 60+20 = 80
3x-10 = 3(30) - 10 = 90-10 = 80
Hence, the final answer is x = 30.
Step-by-step explanation:
Answer:
0.163
Step-by-step explanation:
P = I (1 + r)ᵗ
450 = 56 (1 + r)⁶
8.036 = (1 + r)⁶
log₆ 8.036 = 1 + r
log 8.036 / log 6 = 1 + r
1.163 = 1 + r
r = 0.163