taylortae44211 taylortae44211
  • 14-09-2019
  • Mathematics
contestada


You deposit $10,000 into a bank account at 2% annual interest. How long will it take for the $10,000 to compound to $30,000?

N= I/Y= PV= PMT= FV= P/Y=

Respuesta :

enyo enyo
  • 18-09-2019

Answer: time = 55.48 years

Explanation:

Given:

Principal amount = $10000

Interest rate = 2% p.a

Amount = $30000

We can evaluate the time taken using the following formula:

[tex]Amount=Principal(1+\frac{r}{100})^{t}[/tex]

[tex]30000 = 10000\times(1+\frac{2}{100})^{t}[/tex]

Solving the above equation, we get

[tex]1.02^{t} = 3[/tex]

Now taking log on both sides, we get;

[tex]t\ log(1.02) = log(3)[/tex]

time = 55.48 years

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