Marco deposited $500 in a savings account earning 4% simple intrest over 5 years what was the total amount of intrest earned at the end of 5 years a. 40, b. 50, c. 100, d.200

The formula in computing the simple interest of a savings account is:

I = Prt

Where I = interest earned

             P = principal amount deposited

             r = rate

             t = time in years

You are asked to find the total amount of interest earned at the end of 5 years. Substituting the amounts to the formula:

I = $500 (4%) (5)

I = $100

Therefore, the total amount of interest earned at the end of 5 years is $100.

∠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.