Answer:
4
Step-by-step explanation:
This is an <em>infinite geometric series</em>. This has a sum of ![\frac{a}{1-r}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B1-r%7D)
Where
a is the first term, and
r is the common ratio (one term divided by the previous term)
Let's figure out the first 2 terms by plugging in n = 1 first and then n = 2 for the series.
<u />
<u>First term:</u>
![3(\frac{1}{4})^{n-1}\\=3(\frac{1}{4})^{1-1}\\=3(\frac{1}{4})^0\\=3(1)\\=3](https://tex.z-dn.net/?f=3%28%5Cfrac%7B1%7D%7B4%7D%29%5E%7Bn-1%7D%5C%5C%3D3%28%5Cfrac%7B1%7D%7B4%7D%29%5E%7B1-1%7D%5C%5C%3D3%28%5Cfrac%7B1%7D%7B4%7D%29%5E0%5C%5C%3D3%281%29%5C%5C%3D3)
<u>Second term:</u>
![3(\frac{1}{4})^{n-1}\\=3(\frac{1}{4})^{2-1}\\=3(\frac{1}{4})^1\\=3(\frac{1}{4})\\=\frac{3}{4}](https://tex.z-dn.net/?f=3%28%5Cfrac%7B1%7D%7B4%7D%29%5E%7Bn-1%7D%5C%5C%3D3%28%5Cfrac%7B1%7D%7B4%7D%29%5E%7B2-1%7D%5C%5C%3D3%28%5Cfrac%7B1%7D%7B4%7D%29%5E1%5C%5C%3D3%28%5Cfrac%7B1%7D%7B4%7D%29%5C%5C%3D%5Cfrac%7B3%7D%7B4%7D)
<em>Let's see the common ratio:
</em>
<em />
<em>Thus we have a = 3 and r = 1/4</em><em>. Plugging into the formula of the infinite sum, we get:</em>
<em>
</em>
<em />
<em>So, </em><em>the answer is 4</em>
D) 180 because there are 180 possible combinations for the marbles to be picked out
We want to translate the given statement into an algebraic expression.
The expression is:
d = 0.45*L
---------------------------------
When we have a discount of an X% on a given value V, that discount will be:
D = (X%/100%)*V.
Here we have:
<em>"A </em><em>discount</em><em> of a 45% on the list price L"</em>
The discount will be given by:
d = (45%/100%)*L = 0.45*L
d = 0.45*L
This is the expression we wanted to get.
If you want to learn more, you can read:
brainly.com/question/2736271
Answer:
4 and the correct answer is 34
Step-by-step explanation:
-(2y-8)-3(1+x)-7
-10y+40-3(1-x)-7
-10y+40-3-3x-7
-10y+30-3x