Score: 0 of 1 pt
9 of 11 (8 complete)
hw score: 63.64%, 7 of 11 pts
x8.c 25
question
use a growth rate of 0.6% to predict the population in 2040 of a country that in the year 2006 had a population of 200 million. use the approximate
doubang time formula
what is the predicted population of the country in 20407
245 man
round the final answer to the nearest whole number as needed round the doubling time to the nearest year as needed)

1. 22

2. 1

3. 7

4. 18

step-by-step explanation

e2020 got it right

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

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

if you're trying to figure out how much each ounce cost it would be 0.20

cents each ounce