Answer:
The total number of trucks registered in the city at the end 8 years is 214.35
Solution:
Registered trucks are increasing at [tex]10\%[/tex] rate.
So the increasing rate is = 0.1
The initial value of the truck is = 100
We need to solve the number of trucks after 8 years,
Hence, time = 8
We know the equation is [tex]N=a(1+b)^{t}[/tex]
Here N is the total amount after t years, t is time, a is the initial truck and b is the rate of increase.
So putting the values in the equation, we get,
[tex]\Rightarrow N=100(1+0.1)^{8}[/tex]
[tex]\Rightarrow N=100 \times(1.1)^{8}[/tex]
[tex]\Rightarrow N=100 \times(1.1)^{8}[/tex]
[tex]\Rightarrow N=100 \times 2.1435[/tex]
N = 214.35
So, the total number of trucks at the end of 8 years is 214.35