A worker is paid $0.10 on the first day, $0.30 on the second day, $0.90 on the third day, $2.70 on the fourth day, and so on.
Notice that the pattern of getting wages is 3 times of the previous day.
Like the wages for the first day= 0.10
Second day = 0.10*3 = 0.30
Third day = 0.30 *3 = 0.90 And so on.
Hence the wages represent a geometric sequence where
first term: a = 0.10 and common ratio: r = 3.
And we need to find the total does the worker earn after working 14 days:
.
Formula to find the sum of nth term a geometric sequence is:
![S_{n} =\frac{a(r^n-1)}{r-1}](https://tex.z-dn.net/?f=%20S_%7Bn%7D%20%3D%5Cfrac%7Ba%28r%5En-1%29%7D%7Br-1%7D%20%20)
=![\frac{0.10(3^{14}-1)}{3-1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B0.10%283%5E%7B14%7D-1%29%7D%7B3-1%7D%20%20%20)
=![\frac{0.10(4782969-1)}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B0.10%284782969-1%29%7D%7B2%7D%20%20%20)
=![\frac{0.10(4782968)}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B0.10%284782968%29%7D%7B2%7D%20%20%20)
=![\frac{478296.8}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B478296.8%7D%7B2%7D%20%20)
= 239148.4
So, he will earn $239148.40 fter 14 days.
Hope this helps you.
Answer:
Step-by-step explanation:
Three or more points that lie on the same line are collinear points.
I have highlighted the points so you can see where they lay on the lines. You can see only one set of points is on 2 different lines.
Please mark Brainliest when able.
Answer:
256
Step-by-step explanation:
8↑2 + 8↑2 +8↑2+8↑2+8↑2+8↑2+8↑2+8↑2
<h3>8x2x2=32 </h3><h3>8x2=16x2=32</h3><h3>32x8= 256</h3><h3> +1 32</h3><h3> x 8</h3><h3>______</h3><h3> 2 5 6</h3><h3>2x8=16 **then add the +1 to the 3**</h3><h3>3x8=24 </h3><h3 />
The definition if a function is a relation or expression with two or more variables in it.
So, therefore, relation 1 is a function for using "d,c,n,z" to represent the other words using two or more variables.
Relation 3 isn't a function bc there are no variables included.