A town has a population of 19000 and grows at 4% every year. To the nearest year, how long will it be until the population will reach 43500?

1 year

Step-by-step explanation:

The population can be modelled by the equation:

From the question, the initial population is

The annual growth rate is r=0.04

We want to find how long it will take for that population to reach 43500.

We substitute the values to get:

To the nearest year, t= year

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

the answer is 11.2 (i know i’m late)