Country A has an exponential growth rate of 3.6% per year. The population is currently 4,265,000, and the land area of Country A is 22,000,000,000 square yards. Assuming this growth rate continues and is exponential, after how long will there be one person for every square yard of land? This will happen in blank years.
(round to the nearest integer)

t = 248.18 years

Step-by-step explanation:

Continuous exponential growth is described with:

P(t) = P0e^(rt), where

P0 = 5,549,000 is the initial population size.

r = 0.033 is the annual interest rate in decimal form

t = is the time in years (we need to find)

P(t) = 20,000,000,000 is the population size after t years (1 person for every square yard of land mean there will be 20,000,000,000 people)

P0e^(rt) = P(t)

5,549,000e^(0.033t) = 20,000,000,000

e^(0.033t) = 20,000,000,000/5,549,000

t = (1/0.033) ln(20,000,000,000/5,549,000)

t = 248.18 years

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

might be the correct answer will be question number 2