Answer:
The fourth term of given geometric sequence is 5/9
Step-by-step explanation:
The general formula for geometric sequence is given by:
![a_n = a_1.r^{(n-1)}](https://tex.z-dn.net/?f=a_n%20%3D%20a_1.r%5E%7B%28n-1%29%7D)
Here a_n is the nth term,
a_1 is the first term
and r is the common ratio.
It is given in the question that
![a_1 = 15\\r = \frac{1}{3}](https://tex.z-dn.net/?f=a_1%20%3D%2015%5C%5Cr%20%3D%20%5Cfrac%7B1%7D%7B3%7D)
Putting these values
![a_n = 15 . (\frac{1}{3})^{n-1}](https://tex.z-dn.net/?f=a_n%20%3D%2015%20.%20%28%5Cfrac%7B1%7D%7B3%7D%29%5E%7Bn-1%7D)
For 4th term, we will put n=4
So,
![a_4 = 15 . (\frac{1}{3})^{4-1}\\a_4 = 15 . (\frac{1}{3})^3\\a_4 = 15 . \frac{1}{27}\\a_4 = \frac{15}{27}\\a_4 = \frac{5}{9}](https://tex.z-dn.net/?f=a_4%20%3D%2015%20.%20%28%5Cfrac%7B1%7D%7B3%7D%29%5E%7B4-1%7D%5C%5Ca_4%20%3D%2015%20.%20%28%5Cfrac%7B1%7D%7B3%7D%29%5E3%5C%5Ca_4%20%3D%2015%20.%20%5Cfrac%7B1%7D%7B27%7D%5C%5Ca_4%20%3D%20%5Cfrac%7B15%7D%7B27%7D%5C%5Ca_4%20%3D%20%5Cfrac%7B5%7D%7B9%7D)
Hence,
The fourth term of given geometric sequence is 5/9
<em>Answer,</em>
<em>21 * 50 = </em><em>1,050</em>
<em>Explanation Down Below,</em>
Answer:
c
Step-by-step explanation:
Answer:
$129 000/yr
Step-by-step explanation:
Weighted average is used to answer this question.
<em>total employees are 20</em>
10 employees make 80 000
<em>total earning for 10 employees </em>= 80 000 * 10 = 800 000 (multiplying)
6 employees make 150 000
<em>total earning for 6 employees= </em>150 000 * 6 =900 000<em> (multiplying)</em>
4 employees make 220 000
<em>total earning for 4 employees </em>= 220 000 * 4 = 880 00<em>0 (multiplying)</em>
<em />
<em>To calculate weighted average all the totals are added and then divide by total number of employees.</em>
<em>weighted average =</em> (800 000 + 900 000 + 880 000)/20
<em />
<em>weighted average = </em>2580000/20
<em />
<em>Weighted average = </em>129 000
<em />