Krisi took out a $500 discounted loan calculated using a simple interest rate of 5% for a period of 2 years. How much money does Krisi receive initially? Give your answer in dollars to the nearest dollar.

$455

Step-by-step explanation:

The computation of the principal is shown below:

As we know that

Amount = Simple interest + Principal

Let us assume the principal be X

So,

Amount = $500

Simple interest = Principal × rate of interest × time period

                         = X × 5% × 2 years

                         = X × 0.1

So, the principal is

$500 =  X × 0.1 + X

$500 = 1.1 × X

So, the X is $455 i.e principal

..

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.