<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)
Answer:
Step-by-step explanation:
7.5% would be 405. Honestly to find it quickly, i took 10% of 5400,which is 540 and divided that by 4 to get 135 and multiply that by 3 to get 7.5%, which is 405 increase. to get the money total add 405 to 5400 to get 5805
Answer:
f=54
Step-by-step explanation:
ma is m times a 3x18= 54
Your simplified answer is indeed 2/3 (or 60%, or 0.6) because the fraction 24/36 can be simplified by dividing both the numerator and denominator by 6, which leaves you with 2/3.
Answer:
<h3>The possibilities of length and width of the rectangle are </h3><h3>x=1, y=0.24;</h3><h3>x=0.5, y=0.48;</h3><h3>x=0.25, y=0.96;</h3><h3>x=2, y=0.12</h3>
Step-by-step explanation:
Given that the area is 0.24 square meter
The area of a rectangle is given by
square units
Let x be the length and y be the width.
Since the area is 0.24 square meter, we have the equation:
, with x and y measures in meters
If we want to know some possibilities of x and y, we can assume a value for one of them, and then calculate the other one using the equation.
Now choosing some values for "x", we have:
Put x = 1
![1\times y = 0.24](https://tex.z-dn.net/?f=1%5Ctimes%20y%20%3D%200.24)
∴ y = 0.24
Now put x = 0.5 we get
∴ y = 0.48
Put x = 0.25
∴ y = 0.96
Put x = 2
![2\times y = 0.24](https://tex.z-dn.net/?f=2%5Ctimes%20y%20%3D%200.24)
∴ y = 0.12