Answer: a. 
b. The population in 2032 will be 8292.
Step-by-step explanation:
Exponential growth equation:
, where a = initial value , r = growth rate, x = time period
Given: a = 5054 , r= 0.02
a. Required exponential growth function: 

b. For 2032, x= 25


The population in 2032 will be 8292.
22 centimeters
242 ( area ) divided by 11( width) =22 ( length)
Answer:
FALSE, (2, 9) is not a solution to the set of inequalities given.
Step-by-step explanation:
Simply replace x by 2 and y by 9 in the inequalities and see if the inequality is true or not:
irst inequality:

so thi inequality is verified as true since 9 is larger or equal than 8
Now the second inequality:

This is FALSE since 9 is larger than 4 (not smaller)
Therefore the answer to the question is FALSE, (2, 9) is not a solution to the set of inequalities given.
Answer:
Your equation is 
Step-by-step explanation:
Well, the center origin of the circle is given (h,k) = (1,-1).
We have to find our radius as they gave us a point. from origin to the edge of the circle.
Using the formula: (x - h)^2 + (y - k)^2 = r^2
Plug in our (h,k) = (1,-1) and (x,y) = (0.5,-1) to solve for radius.
(x - h)^2 + (y - k)^2 = r^2
(0.5 - (1))^2 + (-1 - (-1))^2 = r^2
(-0.5)^2 + (0)^2 = r^2
1/4= r^2
r^2 = 1/4
r = 1/2
1/3 of 6 3/4....." of " means multiply....turn mixed number to improper fraction
1/3 * 27/4 = 27/12 = 2 1/4 <==