Esha is seeking to invest for college. She selects an account with a compound interest rate of 2% per year. If she initially deposits $7,000, then how much will her investment be worth at the end of 5 years?

$7700

Step-by-step explanation:

Given data

Rate= 2%

Principal= $7000

Time= 5 years

The simple interest expression is

A=P(1+rt)

substitute

A=7000(1+0.02*5)

A=7000(1+0.1)

A=7000*1.1

A=7700

Hence the amount is $7700

-1/2 +2

step-by-step explanation:

∠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.