Answer:
Step-by-step explanation:
We would apply the formula for exponential growth which is expressed as
A = P(1 + r)^t
Where
A represents the population after t years.
t represents the number of years.
P represents the initial population.
r represents rate of growth.
From the information given,
P = 5655
r = 1.4% = 1.4/100 = 0.14,
a) Therefore, the equation that estimates the population t years after 2010 is
A = 5655(1 + 0.14)^t
A = 5655(1.14)^t
b) in 2022, the number of years t = 2022 - 2010 = 12
Therefore,
A = 5655(1.14)^12
A = 27245
Answer:
See below.
Step-by-step explanation:
Find two points on the graph that are easy to read.
Start at one point. You must now go to the other point, but you can only move vertically (up and down) and horizontally (right and left.)
Move vertically toward the other point. Count the number of units you moved. Up is positive, and down is negative. This is the rise.
Now move horizontally to the second point and count the units. Right is positive and left is negative. This is the run.
slope = rise/run
You can determine this by doing b² - 4ac (using the values in the quadratic function) and see if it is greater than zero, less than, or equal to. If it is greater, then it has 2 x-intercepts or zeroes. If it equals zero, then you have one x-intercept. If it equals less than zero, you have no x-intercepts.
This problem can
be directly solved by ratio and proportion.
We know that there
are 646,449 people for every 68.3 square miles, so:
646,449 people : 68.3
square miles = X : 570,374 square miles
We know that the :
symbol signifies division therefore,
646,449 / 68.3 = X
/ 570,374
X = 5,398,502,224
people