Answer:
$56
Duane puts 7/10 of his money into the bank.
7/10 of 80 is 56
Answer:
7 billion 3 hundred million 4 ten million 5 million 6 hundred thousand 7 ten thousands 8 thousands 9 hundreds 0 ten 2 ones
Step-by-step explanation:
<h3>
Answer: Diverges</h3>
This series diverges by the limit test (some books may call it the nth term test).
Recall the limit test is the idea if the sequence doesn't converge to 0, then the series diverges.
In this case, the sequence converges to n/(7n) = 1/7 since all we are about are the leading terms when n gets very large.
After some very large n value, we're effectively adding on 1/7 or very close to it, each time. The infinite sum does not approach a fixed value. It keeps growing forever.
Answer:
Step-by-step explanation:
What we want to fator is:
There is no common factor, but let's factor it by grouping. The first two addends can be factor as follows:
the second addends can be factor as well:
.
Then our original expression can be rewritten like
And here the is the common factor!
Finally, we can factor the quadratic expression as a difference of squares
Ant we get
now, we can extract the negative sign from , and we get
.