The population growth of a community is modeled by the equation P (x) = 15,5580.4x + 1, where P (x) is population and x is time in years beginning with x = 0. When does the population double? Round to the nearest tenth of a year.

The population will be double in 0.5 years.

Step-by-step explanation:

The population growth of a community is modeled by the equation , where P (x) is population and x is time in years beginning with x = 0.

Therefore, the population at x = 0 will be =

If the population becomes double then we can write the equation as

⇒

⇒

⇒ 2(x + 1) = 3 {Comparing the power terms}

⇒ x + 1 = 1.5

⇒ x = 0.5 years.

Therefore, the population will be double in 0.5 years. (Answer)

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

rotation point l

step-by-step explanation: