The answer is 72+4.5 pi= 86.1372
-88 = 2 + 2(5m - 5)
Distribute 2 inside the parentheses.
-88 = 2 + 10m - 10
Combine like terms on the right side.
-88 = -8 + 10m
Add 8 to both sides.
-80 = 10m
Divide both sides by 10.
![\boxed {m = -8}](https://tex.z-dn.net/?f=%20%5Cboxed%20%7Bm%20%3D%20-8%7D%20)
Answer:
The size of Harry's loan is $9000.
Step-by-step explanation:
D(t) models Harry's remaining debt, in dollars, as a function of time t, in months that is given by :
![D(t) =-200t+ 9000](https://tex.z-dn.net/?f=D%28t%29%20%3D-200t%2B%209000)
We can see 200 is in negative that means it is getting deducted from the function. So, Harry must be paying this each month against his loan.
Lets put t = 0, that shows no payments have been made.
This will get the amount of loan, before any payments.
![D(t)=-200(0)+9000](https://tex.z-dn.net/?f=D%28t%29%3D-200%280%29%2B9000)
So,![D(t) =9000](https://tex.z-dn.net/?f=D%28t%29%20%3D9000)
Hence, the size of Harry's loan is $9000.
Answer: 720 ways
Step-by-step explanation:
Given
A train has 1 main engine and remaining 6 train cars
If the engine is always in the front the remaining train cars can be arranged is
![\Rightarrow \text{No. of ways}=6!=720\ \text{ways}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ctext%7BNo.%20of%20ways%7D%3D6%21%3D720%5C%20%5Ctext%7Bways%7D)