Answer:
Sure, the common difference is -3, but like you have to multiple it and stuff, so it goes like this: -2,6,-18,54,-162,486,-1458,4374,-13122,39366,-118,098,354294.
So then, add all of the 12 terms I stated, and that will equal to 265,720
Therefore, the sum of the first 12 terms of that geometric sequence is 265,720.
Step-by-step explanation:
Answer:
2/27
Explanation:
• Number of green marbles = 2
,
• Number of blue marbles = 4
,
• Number of yellow marbles = 3
Total = 2+4+3 =9
• Probability of choosing a green marble = 2/9
,
• Probability of choosing a yellow marble = 3/9
Therefore, the possibility that the first marble is green and the second is yellow is:
All methods are supposed to be correct in most if not all situations and it should not matter if you use a different method given the options
Answer:
5 students are left out in the arrangement.
Step-by-step explanation:
If the number of rows = the number of columns
Then there must be an equal arrangement
Since the total number of students in the school is 2121
Then, the students that are left out in this arrangement = 2121 - (√2121 X √2121
Note the result of the square root would only consider the whole number, the digits after the decimal point signifies the remaining number that can't fit into the arrangement
so, √2121 = 46.05 (so 46 would be used)
= 2121 - (46 X 46)
= 2121 - 2116 = 5
Therefore 5 students are left out in the arrangement.
Answer:
"To the nearest year, it would be about 9 years"
Step-by-step explanation:
11c)
This is compound growth problem. It goes by the formula:

Where
F is the future amount
P is the present (initial) amount
r is the rate of growth, in decimal
t is the time in years
Given,
P = 20,000
r = 8% = 8/100 = 0.08
F = double of initial amount = 2 * 20,000 = 40,000
We need to find t:

To solve exponentials, we can take Natural Log (Ln) of both sides:

Using the rule shown below we can simplify and solve:

We can write:

To the nearest year, that would be about 9 years