Given:
Gil buys 4 books for $16. Then he sells 3 CDs for $27.
To find:
The equations for y, Gil’s change in money after buying a book, and for x, his change in money after selling a CD, in standard form.
Slope of each equation.
Solution:
Gil buys 4 books for $16.
4 books = $16
1 book = $4
Let n be the number of book purchased, then change in money after buying n book is
Here, negative sign represents decrease in money. Here, slope of -4 it means the money decreased by $4 after buying each book.
He sells 3 CDs for $27.
3 CDs =$27
1 CDs =$9
Let c be the number of CDs sold, then change in money after selling m CDs is
Here, slope of 9 it means the money increased by $9 after selling each CD.
Wyoming’s population is
equals to:
=> 5 x 10^5
Colorado’s population is equals to
=> 5 000 000
Now, we need to find the answer which population is greater. First, let’s
solve the Wyoming’s population:
=> 5 x 10^5
=> 5 x (10 x 10 x 10 x 10 x 10)
=> 5 x 100 000
=> 500 000
=> Colorado vs Wyoming = 5 000 000 vs 500 000
Thus, Wyoming population is 0.1 times the population of Colorado.
=> 5 000 000 x 0.1 = 500 000
Ghetto girl in my car and I’m going back to the madden account for a little while I don’t know what to say but I’m just gonna get my hair and then I’ll get it done and I will get you back in a few hours and then I’ll be there to pick you guys at my madden house
Look for an integrating factor 
:
Multiply both sides by 
:
Condense the left side as the derivative of a product:
![\dfrac{\mathrm d}{\mathrm dt}\left[(t+1)^{-7/9}y\right]=\dfrac{14}9t(t+1)^{-16/9}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dt%7D%5Cleft%5B%28t%2B1%29%5E%7B-7%2F9%7Dy%5Cright%5D%3D%5Cdfrac%7B14%7D9t%28t%2B1%29%5E%7B-16%2F9%7D)
Integrate both sides:
For the integral on the right, substitute
Given that 
, we get
