brainly Chase has been playing a game where he can create towns and help his empire expand. Each town he has allows him to creat
1 answer:
Answer:
Step-by-step explanation:
Since each town he has allows him to create 1.13 times as many villagers as he had in the one before.
The population of the next village will be a multiplication of the population of the previous village by 1.13.
This forms a sequence in which the next term is obtained by multiplication of the previous term by a constant. This type of sequence us called a Geometric Sequence and the constant is called the Common ratio.
For any number of terms, the nth term of a Geometric Progression is determined using the formula:
Where a= First Term
r= common ratio
n= number of terms
The game gave Chase 4 villagers to start with.
Therefore, his first term a=4
The common ratio, r= 1.13
To predict the number of villagers in any specific town, we use the formula:
In the 17th town, i.e. n=17
The number of villagers that can be created will be found by substituting n=17 into the formula above.
Since number of villagers cannot be fractional, the number of villagers he can create to live in the 17th village is 28.
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Answer:
The turns of a graph is represented by the number of maximum or minimum that the function has.
If we differenciate f(x) we get:
f'(x)=4x^3+6x
f'(x)=2x(2x^2 + 3)
Therefore f'(x) =0, when x=0. Given that negative roots are not defined.
Therefore, the number of turns will be given by the number of solutions of f'(x) which is 1.
Attached you find the graph of the function which confirms the number of turns.
If the function had other solutions, the maximum number of turns it could have is 3! because f'(x) is a third degree polynomial, therefore it can't have more than 3 solutions!
