Answer:
4
Step-by-step explanation:
it would equal 2^7/2^5, which equals 2², which equals 4
The function model that represents the amount of battery left after a period of time is y = 1 ₋ 10%x
Given, Miranda bought a new cell phone which is consuming battery at a rate of 5% for every half an hour.
We are required to establish a function model that depicts how much battery is remaining after a certain amount of time.
Let y represent the amount of battery left.
and x represent the number of hours.
Then 5% per half an hour = 5% × 2 = 10%
Now frame the function model:
The amount of battery left = 1 ₋ (rate percent at which battery is being consumed)(The number of hours left)
⇒ y = 1 ₋ 10%(x)
⇒ y = 1 ₋ 10%x
As a result, we obtained the function model for the battery's remaining capacity as y = 1 ₋ 10%x
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Answer:
; 5
Step-by-step explanation:
Given series :
Sum of series = ![S_n=\sum^{\infty}_{1}\ [\dfrac{5}{n\cdot(n+1)}]=5[\sum^{\infty}_{1}\dfrac{1}{n\cdot(n+1)}]](https://tex.z-dn.net/?f=S_n%3D%5Csum%5E%7B%5Cinfty%7D_%7B1%7D%5C%20%5B%5Cdfrac%7B5%7D%7Bn%5Ccdot%28n%2B1%29%7D%5D%3D5%5B%5Csum%5E%7B%5Cinfty%7D_%7B1%7D%5Cdfrac%7B1%7D%7Bn%5Ccdot%28n%2B1%29%7D%5D)
Consider 

⇒ ![S_n=5\sum^{\infty}_{1}\dfrac{1}{n\cdot(n+1)}=5\sum^{\infty}_{1}[\dfrac{1}{n}-\dfrac{1}{n+1}]](https://tex.z-dn.net/?f=S_n%3D5%5Csum%5E%7B%5Cinfty%7D_%7B1%7D%5Cdfrac%7B1%7D%7Bn%5Ccdot%28n%2B1%29%7D%3D5%5Csum%5E%7B%5Cinfty%7D_%7B1%7D%5B%5Cdfrac%7B1%7D%7Bn%7D-%5Cdfrac%7B1%7D%7Bn%2B1%7D%5D)
Put values of n= 1,2,3,4,5,.....n
⇒ 
All terms get cancel but First and last terms left behind.
⇒ 
Formula for the nth partial sum of the series :

Also, 

Answer:
250 students
Step-by-step explanation:
Another way of saying this is:
40% of all six-grade students are 100 of them.
So,
40% of total is equal to 100
We can translate this into an algebraic equation and solve for the total number of students.
Let total number of students be "t"
Also, note "of" means "multiplication" and "is" means "equal"
Lets translate word equation to algebraic:
<em>"40% of total is equal to 100"</em>
40% * t = 100
Converting percentage to decimal by dividing by 100, we have:
40% = 40/100 = 0.4
Now, we have:
0.4 * t = 100
We can now solve for t:

Hence,
the total number of students is 250
If you’re looking for profit is would be $59.00