Brandon purchases 95 shares of a stock for $45.49. In 5 years, he sells the stock for $4,533.52. He calculates his ROI, shown below. Did he do this correctly? If not, what error did he make? the quantity 4533 point 52 minus 45 point 49 times 95 over 45 point 49 times 95equals 4 point 9 percent ROI(4 points)

Yes, he solved it correctly.
No, he divided by the wrong number.
No, he should have a negative ROI.
No, he incorrectly calculated his initial investment.

The answer is yes he solved it correctly.

Step-by-step explanation:

Return on Investment(Simple ROI) = [Ending Value of Investment - Cost of Investment] / Cost of Investment

Cost of the shares bought by Brandon = 45.49 * 95 => $4,321.55‬

Ending Value (Sale value) => $4,533.52

ROI => [4,533.52 - 4,321.55‬] / 4,321.55‬ => 211.97 / 4,321.55  

=> 0.04905

i.e 4.9%

∠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.