The sum of the convergent series 
is 5.31
For given question,
We have been given a series
We need to find the sum of given convergent series.
Given series is a geometric series with ratio r = sin(1)
The first term of the given geometric series is 
So, the sum is,
= 
= sin(1) / [1 - sin(1)]
This means, the series converges to sin(1) / [1 - sin(1)]
= 
= 
= 
= 5.31
Therefore, the sum of the convergent series is 5.31
Learn more about the convergent series here:
brainly.com/question/15415793
#SPJ4
The problem is about converting a decimal into a fraction, and simplify it:
<span>0.40 = 0.4 = four tenths = 4/10 = 2/5
that is the simplest fraction</span>
Answer:
D. $674.68
Step-by-step explanation:
We will use the well known equation for compound interest
Where
is the final total
is the principal amount (starting total)
is the interest rate as a decimal
is the number of times the interest is compounded each year
the number of years
Plugging in what we know from the question:
So the answer is D.
Hope this helps!
Answer:
(7w + 9x)(7w - 9x)
Step-by-step explanation:
Given expression;
49w² - 81x²
Now to solve the problem;
49w² - 81x² = 7²w² - 9²x²
Using differences of two squares;
x² - y² = (x + y)(x - y)
So;
7²w² - 9²x² = (7w + 9x)(7w - 9x)
