Mateo sister paid off her student loan of $5000 in three years. is she made a payment of $152.35 each month what was the simple interest rate for her loan

the simple interest rate for her loan is $484.6

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

P = principal or amount loaned.

R = interest rate on the loan

T = time in years

I = interest rate on the loan

From the information given,

Principal = $5000

Time = 3 years

she made a payment of $152.35 each month.

A year has 12 months

3 years has 36 months

Total amount paid after 3 years would be 153.35×36 = $5484.6

For simple interest,

Total amount = interest + principal or amount loaned. Therefore

5484.6 = 5000 + I

I = 5484.6 - 5000 = $484.6

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.

∠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.