<h2>
Answer: 7</h2>
<h3>
Step-by-step explanation:</h3>
32256 ÷ 2688 - (4 +1)
4 +1 = 5
32256 ÷ 2688 = 12
<h2>FINALLY, 12 - 5 = 7</h2>
*Hope this Helps :) Mark me brainliest :)
The company's expectation is $486.26.
Since the probability that an 80-year-old male in the U.S. will die within one year is approximately 0.069941, to determine, if an insurance company sells a one-year, $ 12,000 life insurance policy to such a person for $ 495, what is the company's expectation, the following calculation must be performed:
- (12000 x 0.069941 / 100) + (495 x (100 - 0.069941) / 100) = X
- -8.39292 + 494.65379205 = X
- 486.26 = X
Therefore, the company's expectation is $486.26.
Learn more about maths in brainly.com/question/3554632
![7+0.7+0.007+\cdots=7\left(1+\dfrac1{10}+\dfrac1{100}+\cdots\right)](https://tex.z-dn.net/?f=7%2B0.7%2B0.007%2B%5Ccdots%3D7%5Cleft%281%2B%5Cdfrac1%7B10%7D%2B%5Cdfrac1%7B100%7D%2B%5Ccdots%5Cright%29)
Let
![S_n](https://tex.z-dn.net/?f=S_n)
denote the
![n](https://tex.z-dn.net/?f=n)
th partial sum of the series, i.e.
![S_n=1+\dfrac1{10}+\dfrac1{100}+\cdots+\dfrac1{100^n}](https://tex.z-dn.net/?f=S_n%3D1%2B%5Cdfrac1%7B10%7D%2B%5Cdfrac1%7B100%7D%2B%5Ccdots%2B%5Cdfrac1%7B100%5En%7D)
Then
![\dfrac1{10}S_n=\dfrac1{10}+\dfrac1{100}+\dfrac1{1000}+\dfrac1{10^{n+1}}](https://tex.z-dn.net/?f=%5Cdfrac1%7B10%7DS_n%3D%5Cdfrac1%7B10%7D%2B%5Cdfrac1%7B100%7D%2B%5Cdfrac1%7B1000%7D%2B%5Cdfrac1%7B10%5E%7Bn%2B1%7D%7D)
and subtracting from
![S_n](https://tex.z-dn.net/?f=S_n)
we get
![S_n-\dfrac1{10}S_n=\dfrac9{10}S_n=1-\dfrac1{10^{n+1}}](https://tex.z-dn.net/?f=S_n-%5Cdfrac1%7B10%7DS_n%3D%5Cdfrac9%7B10%7DS_n%3D1-%5Cdfrac1%7B10%5E%7Bn%2B1%7D%7D)
![\implies S_n=\dfrac{10}9\left(1-\dfrac1{10^{n+1}}\right)](https://tex.z-dn.net/?f=%5Cimplies%20S_n%3D%5Cdfrac%7B10%7D9%5Cleft%281-%5Cdfrac1%7B10%5E%7Bn%2B1%7D%7D%5Cright%29)
As
![n\to\infty](https://tex.z-dn.net/?f=n%5Cto%5Cinfty)
, the exponential term vanishes, leaving us with
![\displaystyle\lim_{n\to\infty}S_n=\dfrac{10}9](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Clim_%7Bn%5Cto%5Cinfty%7DS_n%3D%5Cdfrac%7B10%7D9)
and so
Answer:
The new points to the triangle will be:
![A(1,4)\\ B(1,1)\\ C(-1,1)](https://tex.z-dn.net/?f=A%281%2C4%29%5C%5C%20B%281%2C1%29%5C%5C%20C%28-1%2C1%29)
Step-by-step explanation:
Because the reflection point is at
, all x values will subtract their distances from
to get their new values. The y values remain the same.
The starting values are:
![A(3,4)\\ B(3,1)\\ C(5 ,1)](https://tex.z-dn.net/?f=A%283%2C4%29%5C%5C%20B%283%2C1%29%5C%5C%20C%285%20%2C1%29)
Point
is 1 unit away from
, so we'll subtract 1 from 2 to get the new x value:
, so
.
Point
is also 1 unit away from
, so we'll subtract 1 from 2 to get the new x value:
, so
.
Point
is 3 units away from
, so we'll subtract 3 from 2 to get the new x value:
, so
.