Answer:
4
Step-by-step explanation:
This is an <em>infinite geometric series</em>. This has a sum of 
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>
<u>Second term:</u>
<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>
Answer:
$467.77
Step-by-step explanation:
CHECK THE COMPLETE QUESTION
Lin is shopping for a couch with her dad and heard him ask the salesperson “how much is your commission?” The salesperson says that her commission is 5 1/2% of the selling price. A.How much commission will the salesperson earn by selling a couch for $495?
B.How much money will the store get from the sale of the couch?
From the question, the commission of the salesperson is 5 1/2 % , we can convert to improper fraction as 11/5%, then we can convert to decimal by dividing the numerator by denominator which is 5.5% , we can convert from percentage by saying(5.5%/100)
= 0.055
A)How much commission will the salesperson earn by selling a couch for $495?
His Commission will be
(0.055 x $495 )
= $27.23
B.How much money will the store get from the sale of the couch?
Since we know this Commission as $27.23, then the amount the store get from sale will be
(difference between the commission and the selling price)
($495.00- $27.23)
= $467.77
To simplify a fraction, divide numerator and denominator by
their greatest common factor.
The greatest common factor of 5 and 20 is 5 .
5/20 = 1 / 4
Answer:
(4,7)
Step-by-step explanation:
Just did a specific one of these; let's do the general case.
The point nearest the origin is (a,b).
The line from the origin through the point is
The line we seek is perpendicular to this one. We swap the coefficients on x and y, negating one, to get the perpendicular family of lines. We set the constant by plugging in the point (a,b):
That's standard form; let's plug in the numbers:
