Alexa borrows $10,000 from her aunt and they agree Alexa will pay her back including 5% simple interest. How much more will Alexa owe her aunt after 2 years, assuming that no payments are made during that time?

Respuesta :

dtyouy

Answer:

500

Step-by-step explanation:

Using simple interest, it is found that Alexa will owe her aunt $11,000 after 2 years.

The amount of money after t years in simple interest is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

  • A(0) is the initial amount.
  • r is the interest rate, as a decimal.

In this problem:

  • Alexa borrows $10,000 from her aunt and they agree, hence [tex]A(0) = 10000[/tex].
  • 5% simple interest, hence [tex]r = 0.05[/tex].
  • She will pay back after 2 years, hence [tex]t = 2[/tex].

Then:

[tex]A(t) = A(0)(1 + rt)[/tex]

[tex]A(t) = 10000[1 + 0.05(2)][/tex]

[tex]A(t) = 11000[/tex]

Alexa will owe her aunt $11,000 after 2 years.

To learn more about simple interest, you can take a look at https://brainly.com/question/25296782

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