Tutor profile: Austin L.

Have you ever visited Spain?

Well, whether you have or you haven't, hiring me as a tutor will not only improve your speaking, writing, and critical skills in Spanish, but you will also be able to bring a piece of Spain home. As an American and Mexican citizen born and raised in Spain, I can assure you will get the best tutoring from me... and I will make my best to teach you about the incredible Spanish culture in the process.

Why does 0.999...9 recurring equal 1?

There are multiple ways in which we can prove this equality. For example: x = 0.999...9 (10)x = (10) 0.999...9 10x = 9.999...9 10x - x = 9.999...9 - x 9x = 9.999...9 - 0.999...9 9x = 9 x = 9/9 x = 1 0.999...9 = 1 Or we can simply prove it through the definition of a real number. To learn an alternate answer, hire me as your tutor.

How does a positive price elasticity of a good relate to the income effect resulting from a change in its price?

A positive price elasticity indicates that the good has a positively sloped demand curve (as price increases, quantity also demanded increases). Thus, we are talking about a Giffen good, which is a special case of an inferior good. Inferior goods are goods for which the direction of the income effect resulting from a change in price is opposite to the direction of the substitution effect. Furthermore, we know that the income effect will be (in absolute terms) at least as big as its substitution effect (a Giffen good's income effect offsets its substitution effect. Thus, a positive price elasticity indicates a good for which its income effect is at least as big and opposite to its substitution effect when prices change.