<u>Answer-</u>
![\boxed{\boxed{f(n)=0.8(f(n-1))+10,\ f(0)=150,\ \ n>0}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7Bf%28n%29%3D0.8%28f%28n-1%29%29%2B10%2C%5C%20f%280%29%3D150%2C%5C%20%5C%20n%3E0%7D%7D)
<u>Solution-</u>
Here, n represents the number of months and f(n) represents the number of laptops in the store after n months.
As the store had 150 laptops in the month of January or at the beginning.
So ![f(0)=150](https://tex.z-dn.net/?f=f%280%29%3D150)
Every month, 20% of the laptops were sold and 10 new laptops were stocked in the store.
As 20% of laptops were sold, so 80% were in the store.
So, after one month total number of laptops in the store,
![\Rightarrow f(1)=0.8(150)+10](https://tex.z-dn.net/?f=%5CRightarrow%20f%281%29%3D0.8%28150%29%2B10)
![(\because f(0)=150)](https://tex.z-dn.net/?f=%28%5Cbecause%20f%280%29%3D150%29)
Again after one month total number of laptops in the store,
![\Rightarrow f(2)=0.8\times (0.8(150)+10)+10](https://tex.z-dn.net/?f=%5CRightarrow%20f%282%29%3D0.8%5Ctimes%20%280.8%28150%29%2B10%29%2B10)
![(\because f(1)=0.8(150)+10)](https://tex.z-dn.net/?f=%28%5Cbecause%20f%281%29%3D0.8%28150%29%2B10%29)
Analyzing the pattern, the recursive function f(n) will be,
![f(n)=0.8(f(n-1))+10,\ f(0)=150,\ \ n>0](https://tex.z-dn.net/?f=f%28n%29%3D0.8%28f%28n-1%29%29%2B10%2C%5C%20f%280%29%3D150%2C%5C%20%5C%20n%3E0)
0=x3-3x2
x3-3x2=0
x2•(x-3)=0
x=0
Answer:
$125.55
Step-by-step explanation:
All you do is multiply your earned per hour by total hours.
Answer:
5m - 4n
5(5) - 4(3) ( As m= 5 and n= 3)
25 - 12
= 13
Answer:
12 and 8
Step-by-step explanation:
bc i said