Felix's parents opened a savings
account for him when he was born with
a $2,000 deposit. The account earns 6%
compound interest, compounded
annually. How much money will be in
Felix's account when he is 21?

Respuesta :

The money in the Felix's account will be $6798 when he is 21.

Step-by-step explanation:

It is given that,

  • The amount deposited is $2000.
  • The account earns 6%  compound interest.
  • It is compounded  annually for 21 years.

To find the money in Felix's account after 21 years :

The formula used here is,

⇒ [tex]A = P(1+r/n)^{nt}[/tex]

where A is the amount after 21 years.

  • P is the initial amount deposited ⇒ P = 2000
  • r is the rate ⇒ r = 0.06
  • n is the number of times interest is compounded per year⇒ n = 1
  • t is the time period ⇒ t = 21

⇒ [tex]2000(1+0.06/1)^{21\times 1}[/tex]

⇒ [tex]2000(1.06)^{21}[/tex]

⇒ [tex]2000\times3.399[/tex]

⇒ [tex]6798[/tex]

Therefore, The money in the Felix's account will be $6798 when he is 21.