Brennan has been playing a game where he can create towns and help his empire expand. Each town he has allows him to create 1.15
1 answer:
Answer with Step-by-step explanation:
We are given that:
Brennan has been playing a game where he can create towns and help his empire expand.
Brennan started with 5 villagers.
Each town he has allows him to create 1.15 times as many villagers.
i.e. after creating one town he gets 5×1.15 villagers
after creating 2 towns he gets 5×1.15×1.15 villagers
after creating 3 towns he gets 5×1.15×1.15×1.15 villagers
after creating n towns he gets
Hence, after creating 15 towns he gets
≈ 41 villagers
An equation to predict the number of villagers for any number of towns is: Let number of towns be n
Then number of villagers =
You might be interested in
Integration will be ln | ( x /9 ) + ( ) | + c .
Given ∫ 1 dx / ( - 81 )
Put ,
x = 9 secθ
dx = 9 secθ tanθ dθ
and
= 9 tanθ
Substituting values in ∫ 1 dx / ( - 81 ) ,
∫ (9 secθ tanθ ) dθ / ( 9 tanθ )
∫ secθ dθ = ln | secθ + tanθ | + c
= ln | ( x /9 ) + ( / 9 ) | + c
= ln | ( x /9 ) + ( ) | + c
Hence , the integration will be ln | ( x /9 ) + ( ) | + c .
To learn more on integration follow link :
#SPJ4