Answer:
Money which Michael make in commission = 158.7
Step-by-step explanation:
Given that,
number of hours Michael worked in a week = 40 hours
total sale of the week = 2870
commission which Micheal will get on sale = 6% above 225sale
To find,
total money Michael make in commission in the week
Commission = (2870 - 225)*6%
Commission = (2870 - 225)*6/100
Commission = 2645 *6/100
Commission = 158.7
Total money Micheal make in a week = (40*12.50) + (158.7)
= 658.7
Answer:
it is the same
Step-by-step explanation:
Answer:
![\sum_{n=1}^{10}(-1)^n\left ( \frac{n+1}{n+4} \right )](https://tex.z-dn.net/?f=%5Csum_%7Bn%3D1%7D%5E%7B10%7D%28-1%29%5En%5Cleft%20%28%20%5Cfrac%7Bn%2B1%7D%7Bn%2B4%7D%20%5Cright%20%29)
Step-by-step explanation:
Given: ![\frac{-2}{5}+\frac{3}{6}-\frac{4}{7}+...+\frac{11}{14}](https://tex.z-dn.net/?f=%5Cfrac%7B-2%7D%7B5%7D%2B%5Cfrac%7B3%7D%7B6%7D-%5Cfrac%7B4%7D%7B7%7D%2B...%2B%5Cfrac%7B11%7D%7B14%7D)
To write: the given expression using summation notation
Solution:
Summation notation helps to write a long sum as a single expression.
In the summation notation, the variable
is called the index of summation.
Let
denote a set of n numbers.
Then in summation notation,
![x_1+x_2+x_3+...+x_n=\sum_{i=1}^{n}x_i](https://tex.z-dn.net/?f=x_1%2Bx_2%2Bx_3%2B...%2Bx_n%3D%5Csum_%7Bi%3D1%7D%5E%7Bn%7Dx_i)
![\frac{-2}{5}=(-1)^1\left ( \frac{1+1}{1+4} \right )\\\frac{3}{6}=(-1)^2\left ( \frac{2+1}{2+4} \right )\\\frac{-4}{7}=(-1)^3\left ( \frac{3+1}{3+4} \right )\\.\\.\\.\\\frac{11}{14}=(-1)^10\left ( \frac{10+1}{10+4} \right )\\\therefore \frac{-2}{5}+\frac{3}{6}-\frac{4}{7}+...+\frac{11}{14}=\sum_{n=1}^{10}(-1)^n\left ( \frac{n+1}{n+4} \right )](https://tex.z-dn.net/?f=%5Cfrac%7B-2%7D%7B5%7D%3D%28-1%29%5E1%5Cleft%20%28%20%5Cfrac%7B1%2B1%7D%7B1%2B4%7D%20%5Cright%20%29%5C%5C%5Cfrac%7B3%7D%7B6%7D%3D%28-1%29%5E2%5Cleft%20%28%20%5Cfrac%7B2%2B1%7D%7B2%2B4%7D%20%5Cright%20%29%5C%5C%5Cfrac%7B-4%7D%7B7%7D%3D%28-1%29%5E3%5Cleft%20%28%20%5Cfrac%7B3%2B1%7D%7B3%2B4%7D%20%5Cright%20%29%5C%5C.%5C%5C.%5C%5C.%5C%5C%5Cfrac%7B11%7D%7B14%7D%3D%28-1%29%5E10%5Cleft%20%28%20%5Cfrac%7B10%2B1%7D%7B10%2B4%7D%20%5Cright%20%29%5C%5C%5Ctherefore%20%5Cfrac%7B-2%7D%7B5%7D%2B%5Cfrac%7B3%7D%7B6%7D-%5Cfrac%7B4%7D%7B7%7D%2B...%2B%5Cfrac%7B11%7D%7B14%7D%3D%5Csum_%7Bn%3D1%7D%5E%7B10%7D%28-1%29%5En%5Cleft%20%28%20%5Cfrac%7Bn%2B1%7D%7Bn%2B4%7D%20%5Cright%20%29)
Answer:
negative times A negative is a positive so your answer is 27
Step-by-step explanation: