Answer:

Step-by-step explanation:
Let the first term be
, then the terms of the sequence are:
.
Since the fourth term is 108, we have


Hence the sequence becomes:
.
The explicit expression for a geometric expression is given by:

where a=4 and r=3
The required formula is:

So we have 11400 +11400×x=12711
this represents the original price plus some percentage of the original price is equal to the new price. now all we need to do is solve for x
so 11400+11400x=12711
subtract 11400 from each side
11400x=1311 now divide both sides by 11400
x=.115 or about 12%
we can. check by finding 12% of the original price.
11400×.12=1368
now add to 11400
11400+1368=12768 so we are a bit over. this is because it is actually 11.5% just depends on how accurate your answer needs to be
Answer:
Option A - Permutation; number of ways = 210
Step-by-step explanation:
Given : At a competition with 7 runners, medals are awarded for first, second, and third places. Each of the 3 medals is different.
To find : How many ways are there to award the medals?
Solution :
There are 7 runners but medals are three.
The first runner up got first medal as one is locked.
The second runner up got second medal as second is locked.
The third runner up got the third medal.
So, There is a permutation.
Number of ways to award the medals is 
We know, 
Substitute the values,



Therefore, Option A is correct.
Permutation; number of ways = 210
In looking at it I would guess it is asking which of the points is on the line? To answer that you would have to take each point an plug it into the equation and see if it is true.
3x - 7 = y
A(9,20)
3(9) - 7 = 20
27 - 7 = 20
20 = 20 True - this point is on the line
B(5,0)
3(5) - 7 = 0
15 - 7 = 0
8 = 0 False - this point is not on the line
C(3,2)
3(3) - 7 = 2
9 - 7 = 2
2 = 2 True - this point is on the line
I hope this helps
Answer:
If these are in exponent form -- the answer would be 2.01 x
> 2.8 x 10.3
Step-by-step explanation:
Look at the sheet attached.