There are 30 homes in neighborhood a. each year, the number of homes increases by 20%. just down the road, neighborhood b has 45 homes. each year, 3 new homes are built in neighborhood b. part a: write functions to represent the number of homes in neighborhood a and neighborhood b throughout the years. (4 points) part b: how many homes does neighborhood a have after 5 years? how many does neighborhood b have after the same number of years? (2 points) part c: after approximately how many years is the number of homes in neighborhood a and neighborhood b the same? justify your answer mathematically. (4 points)

Part A)

y = total houses, x = number of years

Neighborhood A  y = 30*(1.20)^x

Neighborhood B : y = 45 +3x

Part B) neighborhood A has : 30 *1.2^5 = 74.65 = 75 houses

             neighborhood B has: 45 +3(5) = 45 +15 = 60 houses

Part C)

30* 1.2^x = 45 +3x =

x = 3.3

check:

30 *1.2^3.3 = 54.75 = 55

45 + 3(3.3) = 45+9.9 = 54.9 =55

 so 3.3 years round to 3 years

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

google dat sis

step-by-step explanation: