Answer:
it's what will be left when it's divided
Answer: 1.4
Step-by-step explanation: First, swap the sides of the equation so that the one with the variable can be in front.
So, its 2y=2.8
To solve this, you simply divide both sides of the equation by 2.
2 divided by 2 is 0. That leaves you with the y by itself. Then, 2.8 divided by 2 is 1.4
So, y=1.4
Answer:
312
Step-by-step explanation:
Let the attendance before the drop be x
Now we are given that attendance dropped 4% this year
So new attendance = ![x-4\% \times x](https://tex.z-dn.net/?f=x-4%5C%25%20%5Ctimes%20x)
= ![x-\frac{4}{100} \times x](https://tex.z-dn.net/?f=x-%5Cfrac%7B4%7D%7B100%7D%20%5Ctimes%20x)
= ![\frac{96x}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B96x%7D%7B100%7D)
We are also given that attendance dropped 4% this year, to 300
So, ![\frac{96x}{100}= 300](https://tex.z-dn.net/?f=%5Cfrac%7B96x%7D%7B100%7D%3D%20300)
![x= 300 \times \frac{100}{96}](https://tex.z-dn.net/?f=x%3D%20300%20%5Ctimes%20%5Cfrac%7B100%7D%7B96%7D)
![x=312.5](https://tex.z-dn.net/?f=x%3D312.5)
Hence the attendance before the drop was 312
Answer: ![\\ \lim\limits_{k \to \infty} (1+\frac{4}{k})^k =e^4.](https://tex.z-dn.net/?f=%5C%5C%20%5Clim%5Climits_%7Bk%20%5Cto%20%5Cinfty%7D%20%281%2B%5Cfrac%7B4%7D%7Bk%7D%29%5Ek%20%3De%5E4.)
Step-by-step explanation:
![\displaystyle\\ \lim_{k \to \infty} (1+\frac{4}{k})^k \\x=\frac{x}{4} *4\\So,\ \lim_{k \to \infty} (1+\frac{4}{k})^\frac{k}{4}*4 \\ \lim_{k \to \infty} ((1+\frac{4}{k})^\frac{k}{4} )^4.\\Use\ the\ second\ wonderful\ limit:\\\boxed { \lim_{x \to \infty} (1+\frac{1}{x})^x=e },\\\\So,\\ \lim_{k \to \infty} (1+\frac{4}{k})^k =e^4.](https://tex.z-dn.net/?f=%5Cdisplaystyle%5C%5C%20%5Clim_%7Bk%20%5Cto%20%5Cinfty%7D%20%281%2B%5Cfrac%7B4%7D%7Bk%7D%29%5Ek%20%20%5C%5Cx%3D%5Cfrac%7Bx%7D%7B4%7D%20%2A4%5C%5CSo%2C%5C%20%20%5Clim_%7Bk%20%5Cto%20%5Cinfty%7D%20%281%2B%5Cfrac%7B4%7D%7Bk%7D%29%5E%5Cfrac%7Bk%7D%7B4%7D%2A4%20%5C%5C%20%5Clim_%7Bk%20%5Cto%20%5Cinfty%7D%20%28%281%2B%5Cfrac%7B4%7D%7Bk%7D%29%5E%5Cfrac%7Bk%7D%7B4%7D%20%29%5E4.%5C%5CUse%5C%20%20the%5C%20%20second%5C%20%20wonderful%5C%20%20limit%3A%5C%5C%5Cboxed%20%7B%20%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20%281%2B%5Cfrac%7B1%7D%7Bx%7D%29%5Ex%3De%20%20%7D%2C%5C%5C%5C%5CSo%2C%5C%5C%20%5Clim_%7Bk%20%5Cto%20%5Cinfty%7D%20%281%2B%5Cfrac%7B4%7D%7Bk%7D%29%5Ek%20%3De%5E4.)