Will get brainiest and 99 points a a. do some research and find a city that has experienced population growth. determine its population on january 1st of a certain year. write an exponential function to represent the city’s population, y, based on the number of years that pass, x after a period of exponential growth. describe the variables and numbers that you used in your equation. b. find another city whose population starts larger than the city in part (a), but that during this same time experienced population decline. determine its population for january 1st of the same year you picked for part (a). write an exponential function to represent the city’s population, y, based on the number of years that pass, x after a period of population decline. describe the variables and numbers that you used in your equation. c. explain the similarities and differences between your equations in (a) and (b). d. during what year will the population of city (a) first exceed that of city (b)? show all of your work and explain your steps. e. during what year will the population of city (a) be at least twice the size of the population of city (b)? show all of your work and explain your steps.

For this example I am going to use Cape Coral-Fort Myers Florida which was the fastest growing city of 2017.

As of January of 2000, the population of the city was 102,286, and as of January 1 of 2010, the population was 154,305; therefore, I'm going to examine a population growth over a period of 10 years.

I am going to use the standard model for population growth:

y=N _{0} e ^{rx}

Where:

x= time (in years)

r= growth rate

N _{0} = initial population

y= population after a time x

Now, I'm going to replace the values in the equation to get r:

154305=102286e ^{10x}

e^{10x} = \frac{154305}{102286}

lne ^{10x} = ln( \frac{154305}{102286} )

10x=ln( \frac{154305}{102286} )

x= 0.04

Finally, I will multiply x by 100% to obtain 4% which the growing rate of Cape Coral-Fort Myers from 2000 to 2010.

13

step-by-step explanation:

169-1=168

168-3=165

165-5=160

160-7=153

153-9=144

144-11=133

133-13=120

120-15=105

105-17=88

88-19=69

69-21=48

48-23=25

25-25=0

since it took 13times to completely subtract it hence its square root is 13

false

step-by-step explanation:

rulers and compasses arent required in order to bisect an angle because when bisecting angles, you're making a "half circle" and considering in order to bisect an angle it wouldn't be straight, you wouldn't need either of the two