A bank offers a 5% annual interest rate for a savings account. Perry puts $2,600 into an account to save for college. How much will be in the account after a year?

2730$

Step-by-step explanation:

The amount of money left in the account after n years is given by the equation

where

is the initial amount of money

r is the rate of interest

n is the number of years

In this problem, we have:

is the initial amount of money

is the interest rate (5%)

n = 1 is the number of years

Therefore, the amount of money after 1 year is

∠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.