Mathematics, 31.03.2020 01:00 tylorroundy

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 times as many villagers as he had in the one before. The game gave Brennan five villages to start with. Explain to Brennan how to create an equation to predict the number of villagers in any specific town. Then show how to use your equation to solve for the number of villagers he can create to live in the 15th town. PLEASE HELP, I WILL GIVE BRAINLIEST!!

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Answer from: Manuel2019

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 5*(1.15)^n villagers

Hence, after creating 15 towns he gets 5*(1.15)^1 villagers

≈ 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 = 5*(1.15)^n

Answer from: Quest

question

what is the value of the third quartile of the data set represented by this box plot? a. 19 b. 21 c. 26 d. 29

answer

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

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