luiscastrocas6879 luiscastrocas6879
  • 13-01-2020
  • Mathematics
contestada

How long does it take a present value amount to triple if the expected return is 13.9%

Respuesta :

aristeus aristeus
  • 14-01-2020

Answer:

After 8.444 year amount will be triple

Step-by-step explanation:

Let the principal amount is P

Amount is triple in some time so

Amount will be equal to [tex]A=3P[/tex]

Expected rate of return [tex]r=13.9[/tex] %

We have to find the time in which amount is triple

We know that [tex]A=P(1+\frac{r}{100})^n[/tex]

[tex]3P=P(1+\frac{13.9}{100})^n[/tex]

[tex]1.139^n=3[/tex]

Taking log both side

[tex]nlog1.139=log3[/tex]

[tex]n\times 0.0565=0.4771[/tex]

n = 8.444 year

So after 8.444 year amonut will be triple  

Answer Link

Otras preguntas

What is a denominator?
What was the most important result of the English victory over the Spanish Armada
What number multiples to 45 but add to 14?
which fraction is greater than 3 + 1/2 - 55/8 or 7/8
Explain the relationship between bullying and violence
Which function is represented by the graph? A) f(x) = 2x + 6 B) f(x) = -2x + 6 C) f(x) = 1\2x+6 D) f(x) = -1\2x+6
What was the name given to journalists who focused primarily on stories of corruption, scandal, and social injustices?
What posthumously published book explains the mythology Tolkien created for Middle-Earth?
which of the following terms is used to describe crowded , pororly constructed or poorly maintained urban apartment buldings
Select the pronoun that correctly completes this sentence: One of my aunts lost __________ hospital identification badge last week. A) her B) its C) our D) t