Which explicit formula can be used to find the accounts balance at the beginning of year 3?

The formula for the amount A in an account with principal P and interest rate r compounded annually for t years is

... A(t) = P(1+r)^t

You want to find A when P=400, r=0.05, and t=3. Substituting those values gives you

... A(3) = 400·(1 +0.05)³

The appropriate choice is

... A. A(3) = 400·(1 +0.05)³

∠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.

i dont get the question

step-by-step explanation: