Answer:
The sum of the first nine terms of the sequence is 74.44.
Step-by-step explanation:
Geometric sequence concepts:
The nth term of a geometric sequence is given by the following equation.
In which r is the common ratio.
This can be expanded for the nth term in the following way:
In which 
is the first term.
Or even:
The sum of the first n terms of a geometric sequence is given by:
Finding the common ratio:
![r = \sqrt[5]{\frac{15}{3.645}}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B5%5D%7B%5Cfrac%7B15%7D%7B3.645%7D%7D)
Finding the first term:
Sum of the first nine terms:
The sum of the first nine terms of the sequence is 74.44.
I don’t really get your question, because you said that ¾ of them are girls, Then how many girls are working in the piano?
You did not stated the question well.
However, I will try to answer this base on my understanding.
There are a total of 12 students that works in the library.
IF ¾ of them are girls:
=> 12 / 4 = 3 *3 = 9
=> 9 of them are girls and 3 of them are boys.
Thus, how many girls are working in the piano.
The probability is 9, there might be 9 girls working in the piano, or less than 9. Since you did not mention how many girls worked in different part of the library.
<h3>
Answer: (1,4)</h3>
======================================================
Explanation:
The notation <-5,2> is the same as writing the translation rule 
It says: move 5 units to the left and 2 units up
The point (6,2) moves to (1,2) when moving five units to the left. Then it ultimately arrives at (1, 4) after moving 2 units up. You could move 2 units up first and then 5 units to the left later on, and you'd still arrive at (1, 4). In this case, the order doesn't matter (some combinations of transformations this won't be the case and order will matter).
---------
Or you could write out the steps like so
We see that (6,2) moves to (1, 4)
Answer:
5% of his coins is 7
Step-by-step explanation:
140 X 0.05 = 7
