Answer:
ln2
Step-by-step explanation:
n --> infinity
Integral of 1/N as N varies from n+1 to 2n
Integral of 1/N = ln(N)
Upper limit - lower limit
ln(2n) - ln(n + 1)
ln[2n/(n + 1)]
ln[2/(1 + 1/n)]
As n --> infinity,
1/n --> 0
ln[2/(1 + 1/n)] --> ln2
Answer:
<h2>g = 30</h2><h2 />
Step-by-step explanation:
1/4 (g + 2) = 8
g + 2 = 8 (4)
g = 32 - 2
g = 30
Answer:
B
Step-by-step explanation:
A is wrong, it increases
C is wrong, the coefficient does not determine if it is linear (straight), the exponent does.
D is wrong, you don't need to know a point to determine if it is linear, (if you have 3 points you can though. )
The amount of Tina money can be expressed in an exponent function like this:
an= $1100(1.0725)^n
The variable an represent the total money and variable n is the years needed to achieve that amount.
Then, the time needed for the money to reach $6,600 would be:
an= $1100(1.0725)^n
$6,600= $1100(1.0725)^n
$1,100(6)= $1100(1.0725)^n
6= (1.0725)^n
n= log1.075 6
n= 24.78
Question is: how many 84s will fit in 5376? Let's think about some easy multiples:
84 * 100 = 8400, so it's too big
84 * 10 = 840, so it might work
84 | 5376 | 10
-840
84 | 4536 | 10
-840
84 | 3696 | 10
-840
84 | 2856 | 10
-840
84 | 2016 | 10
-840
84 | 1176 | 10
-840
84 | 336
We can't fit any more 840 in 336, so we check how many 84s are in 336 and what's the remainder:
84 | 336 | 4
- 336
So there's no remainder. Now we add all the partial quotients to get the final result:
10 + 10 + 10 + 10 + 10 + 10 + 4 = <u>64
</u>It's correct, I checked it with calculator. I just hope you'll be able to read something from that, it's quite difficult to do partial dividing with no pencil and paper :)
