The population of a town grew from 20.000 to 28 000. The continuous growth rate is 15%. The equation 20 000 ise 29.000
represents the situation where t is the number of years the population has been growing About how many years has the
population of the town been growing? Use a calculator and round your answer to the nearest whole number
2 years
9 years
17 years
22 years

5

10

15

20

25

30

35

40

45

50

55

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²