The answer to the question
By using the formula:
<span>FV = PV*(1+r/n)^(n*t)
</span><span>FV = 3000
PV = 100
r = 0.02
n = 12
t = ?</span>
Substituting the values of the variables, I got <span>a. 170.202 years. Hope that really helps. </span>
Answer:
○ A. No, x = -16 is not a zero of the polynomial.
The quotient is x² - 2x + 83, and the remainder is -1274.
Step-by-step explanation:
This is not a zero. When set to equal zero, you get these roots: -2, -3, -9. Now, about the the Remainder Theorem, I have not been taught this, but just by looking at it, I come across this as the remainder.
I am joyous to assist you anytime.
* I cross my fingers for it to be correct!
Looks like the given limit is

With some simple algebra, we can rewrite

then distribute the limit over the product,

The first limit is 0, since 1/3ⁿ is a positive, decreasing sequence. But before claiming the overall limit is also 0, we need to show that the second limit is also finite.
For the second limit, recall the definition of the constant, <em>e</em> :

To make our limit resemble this one more closely, make a substitution; replace 9/(<em>n</em> - 9) with 1/<em>m</em>, so that

From the relation 9<em>m</em> = <em>n</em> - 9, we see that <em>m</em> also approaches infinity as <em>n</em> approaches infinity. So, the second limit is rewritten as

Now we apply some more properties of multiplication and limits:

So, the overall limit is indeed 0:
